Log24

Friday, December 22, 2023

Raiders of the Lost Chandeliers

Filed under: General — Tags: , — m759 @ 7:41 pm

Friday, December 8, 2023

Raiders of the Lost Logos

Filed under: General — Tags: — m759 @ 9:33 am

Example —

Background —

Tuesday, September 5, 2023

Raiders of the Lost Logos

Filed under: General — Tags: ,
,
— m759 @ 8:06 am

See "language animal" in this journal.

Update of 8:36 AM ET — Related reading

The phrase of Blake Chandler in "Irreconcilable Differences"

"I'm gonna find myself a brand new Santa!"

One candidate for that role — See "Out of Nothing, Everything."

Update of 8:45 AM ET — Related imagery

April 28, 2018, and November 27, 2021.

Tuesday, September 5, 2023

Raiders of the Lost Logos

Filed under: General — Tags: , , — m759 @ 8:06 am

See "language animal" in this journal.

Update of 8:36 AM ET — Related reading

The phrase of Blake Chandler in "Irreconcilable Differences"

"I'm gonna find myself a brand new Santa!"

One candidate for that role — See "Out of Nothing, Everything."

Update of 8:45 AM ET — Related imagery

April 28, 2018, and November 27, 2021.

Wednesday, January 11, 2023

Raiders of the Lost Dark

Filed under: General — Tags: — m759 @ 2:19 pm

A sequel to the previous post, "How the Darkness Gets In" —

'Raiders of the Lost Dark'

Friday, October 7, 2022

Raiders of the Lost Spell

Filed under: General — Tags: — m759 @ 5:18 pm

Friday, September 23, 2022

Raiders of the Lost Archive … The Jung Genizah

Filed under: General — Tags: — m759 @ 3:41 am

Jung’s four-diamond figure from
Aion — a symbol of the self –

Jung's four-diamond figure showing transformations of the self as Imago Dei

     For those who prefer the Ed Wood approach —

Tuesday, September 20, 2022

Raiders of the Lost Space… Continues.

Filed under: General — Tags: — m759 @ 7:22 pm

From "Raiders of the Lost Space," Sept. 11, 2022 —

'Codes from Symmetry Groups,' Cheng and Sloane, 1989

A related technique appears in a 1989 paper by Cheng and Sloane
that I saw for the first time today:

'Codes from Symmetry Groups,' Cheng and Sloane, 1989

Sunday, September 11, 2022

Raiders of the Lost Space

Filed under: General — Tags: — m759 @ 2:29 pm

From 1981 —

From today —

Update —

A Magma check of the motif-generated space shows that
its dimension is only 8, not 12 as with the MOG space.
Four more basis vectors can be added to the 24 motifs to
bring the generated space up to 12 dimensions: the left
brick, the middle brick, the top half (2×6), the left half (4×3).
I have not yet checked the minimum weight in the resulting
12-dimensional 4×6 bit-space.

— SHC 4 PM ET, Sept. 12, 2022.

Tuesday, August 23, 2022

Pasaje:  Raiders of the Lost Chord

Filed under: General — m759 @ 1:17 pm

Season 1 of "The Resort" will end as "The Lord of the Rings:
The Rings of Power
" begins.

For seekers of the Pasaje — "The Room Outside of Time" —

"The Vision is of what the transliteration of their collaborative
Great Music into a material reality would be like. They are
shown that the Music has a point, has a result and effect
beyond its composition and singing: it amounts to no less
than a highly detailed template commensurate with the entire
history – beginning to end – of a material, 'physical' Universe
that could exist inside 'time'." 

— https://lotr.fandom.com/wiki/Ainulindal%C3%AB

Tuesday, September 28, 2021

Raiders of the Lost Capstone

Filed under: General — m759 @ 5:09 pm

See Capstone and Einheit .

Tuesday, September 7, 2021

Raiders of the Lost Symbol … Continues*

Filed under: General — m759 @ 7:12 pm

A Log24 search for "Watercourse" leads to . . .

("Watercourse" is in the Customer review link.)

The "five years ago" link leads to . . .

Invariants 

"What modern painters are trying to do,
if they only knew it, is paint invariants."

— James J. Gibson in Leonardo
(Vol. 11, pp. 227-235.
Pergamon Press Ltd., 1978)

An example of invariant structure:

The three line diagrams above result from the three partitions, into pairs of 2-element sets, of the 4-element set from which the entries of the bottom colored figure are drawn.  Taken as a set, these three line diagrams describe the structure of the bottom colored figure.  After coordinatizing the figure in a suitable manner, we find that this set of three line diagrams is invariant under the group of 16 binary translations acting on the colored figure.

A more remarkable invariance — that of symmetry itself — is observed if we arbitrarily and repeatedly permute rows and/or columns and/or 2×2 quadrants of the colored figure above. Each resulting figure has some ordinary or color-interchange symmetry.

This sort of mathematics illustrates the invisible "form" or "idea" behind the visible two-color pattern.  Hence it exemplifies, in a way, the conflict described by Plato between those who say that "real existence belongs only to that which can be handled" and those who say that "true reality consists in certain intelligible and bodiless forms."

* See that title in this journal.

Sunday, July 4, 2021

Raiders of the Lost . . .

Filed under: General — Tags: , — m759 @ 11:56 am

See as well a search in this journal for Feng Shui.

Wednesday, April 14, 2021

Raiders of the Lost Coordinates . . .

Filed under: General — m759 @ 3:10 pm

Continues.

A pyramid scheme in memory of the late Bernie Madoff —

The above passage from Whitehead’s 1906 book suggests
that the tetrahedral model may be older than Polster thinks.*

This is shown by . . .

See also “Profzi Scheme.”

* For some related work of the above “D. Mesner,” see
Mesner, D. (1967). “Sets of Disjoint Lines in PG(3, q),”
Canadian Journal of Mathematics, 19, 273-280.

Wednesday, February 17, 2021

Raiders of the Lost Coordinates . . .

Continues.

From other posts tagged Tetrahedron vs. Square —

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail  a  from the above tetrahedral figure) —

A Harvard Variation
from Timothy Leary —

The topics of Harvard and Leary suggest some other cultural
history, from The Coasters"Poison Ivy" and "Yakety Yak."

Monday, February 15, 2021

Raiders of the Lost Building Blocks

Filed under: General — Tags: — m759 @ 11:22 am

In memory of a Dead Sea Scrolls scholar who
reportedly died on December 29, 2020, here are
links to two Log24 posts from that date:
I Ching  Geometry  and Raiders of the Lost Coordinates.

Tuesday, December 29, 2020

Raiders of the Lost Coordinates

Filed under: General — Tags: , — m759 @ 2:06 pm

Variations on the title theme —

Novus Ordo Seclorum — Harold Bloom and the Tetrahedral Model of PG(3,2)

Friday, November 13, 2020

Raiders of the Lost Dorm Room

Filed under: General — Tags: , , , — m759 @ 11:48 am

“That really is, really, I think, the Island of the Misfit Toys at that point.
You have crossed the Rubicon, you jumped on the crazy train and
you’re headed into the cliffs that guard the flat earth at that time, brother,”
said Rep. Denver Riggleman, a Republican congressman from Virginia,
in an interview."

— Jon Ward, political correspondent, Yahoo News , Nov. 12, 2020

The instinct for heaven had its counterpart:
The instinct for earth, for New Haven, for his room,
The gay tournamonde as of a single world

In which he is and as and is are one.

— Wallace Stevens, "An Ordinary Evening in New Haven"

 

Related material for comedians

See as well Sallows in this  journal.

“There exists a considerable literature
devoted to the Lo shu , much of it infected
with the kind of crypto-mystic twaddle
met with in Feng Shui.”

— Lee C. F. Sallows, Geometric Magic Squares ,
Dover Publications, 2013, page 121

Saturday, July 11, 2020

Raiders of the Lost Arkenstone

Filed under: General — Tags: — m759 @ 6:25 pm

See also the previous post and the Red Books of May 30.

Wednesday, May 20, 2020

Raiders of the Lost Unity

Filed under: General — Tags: — m759 @ 2:21 pm

Tuesday, May 5, 2020

Raiders of the Lost Horizon

Filed under: General — m759 @ 10:52 pm

Monday, May 4, 2020

Raiders of the Lost Sublime

Filed under: General — Tags: — m759 @ 11:30 pm

Wednesday, October 24, 2018

Raiders of the Lost Crucible Continues

Filed under: General — Tags: , , — m759 @ 10:22 pm

Tuesday, October 2, 2018

Raiders of the Lost Crucible

Filed under: General — Tags: — m759 @ 11:22 am

See other posts now tagged Crucible Raiders.

Related entertainment —

From YouTube:

From NBC:

For more from the above date,
Oct. 8, 2016, click "seriously" below.

But seriously

Wednesday, July 4, 2018

Raiders of the Lost Spell

Filed under: General — Tags: — m759 @ 2:01 pm

From The New York Review of Books ,
issue dated July 19, 2018 —

"The only useful thing about The Seventh Function of Language 
is the idea that one would need some magical means to persuade
through language, some secret spell. Useful, because perfectly
ridiculous. The spell, we know, exists . . . ."

— "Imagining the Real," by Wyatt Mason

Some nineteenth-century thoughts along these lines:

See also Declarations.

Sunday, April 8, 2018

Raiders of the Lost Circle

Filed under: General — Tags: — m759 @ 10:10 am

Today is Orthodox Easter.

From a search in this journal for "Magic Circle" —

Tuesday, February 27, 2018

Raiders of the Lost Images

Filed under: General,Geometry — Tags: — m759 @ 11:28 am

On the recent film "Justice League" —

From DC Extended Universe Wiki, "Mother Box" —

"However, during World War I, the British rediscovered
mankind's lost Mother Box. They conducted numerous studies
but were unable to date it due to its age. The Box was then
shelved in an archive, up until the night Superman died,
where it was then sent to Doctor Silas Stone, who
recognized it as a perpetual energy matrix. . . ." [Link added.]

The cube shape of the lost Mother Box, also known as the
Change Engine, is shared by the Stone in a novel by Charles Williams,
Many Dimensions . See the Solomon's Cube webpage.

See too the matrix of Claude Lévi-Strauss in posts tagged
Verwandlungslehre .

Some literary background:

Who speaks in primordial images speaks to us
as with a thousand trumpets, he grips and overpowers,
and at the same time he elevates that which he treats
out of the individual and transitory into the sphere of
the eternal. 
— C. G. JUNG

"In the conscious use of primordial images—
the archetypes of thought—
one modern novelist stands out as adept and
grand master: Charles Williams.
In The Place of the Lion  he incarnates Plato’s
celestial archetypes with hair-raising plausibility.
In Many Dimensions  he brings a flock of ordinary
mortals face to face with the stone bearing
the Tetragrammaton, the Divine Name, the sign of Four.
Whether we understand every line of a Williams novel
or not, we feel something deep inside us quicken
as Williams tells the tale.

Here, in The Greater Trumps , he has turned to
one of the prime mysteries of earth . . . ."

— William Lindsay Gresham, Preface (1950) to
Charles Williams's The Greater Trumps  (1932)

For fans of what the recent series Westworld  called "bulk apperception" —

Monday, January 8, 2018

Raiders of the Lost Theorem

Filed under: General,Geometry — Tags: — m759 @ 11:15 pm
 

The Quantum Tesseract Theorem 

 


 

Raiders —

A Wrinkle in Time
starring Storm Reid,
Reese Witherspoon,
Oprah Winfrey &
Mindy Kaling

 

Time Magazine  December 25, 2017 – January 1, 2018

Tuesday, December 26, 2017

Raiders of the Lost Stone

Filed under: General,Geometry — Tags: , , — m759 @ 8:48 pm

(Continued

 

Two Students of Structure

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

Diana Senechal's 1999 doctoral thesis at Yale was titled
"Diabolical Structures in the Poetics of Nikolai Gogol."

Her mother, Marjorie Senechal, has written extensively on symmetry
and served as editor-in-chief of The Mathematical Intelligencer .
From a 2013 memoir by Marjorie Senechal —

"While I was in Holland my enterprising student assistant at Smith had found, in Soviet Physics – Crystallography, an article by N. N. Sheftal' on tetrahedral penetration twins. She gave it to me on my return. It was just what I was looking for. The twins Sheftal' described had evidently begun as (111) contact twins, with the two crystallites rotated 60o with respect to one another. As they grew, he suggested, each crystal overgrew the edges of the other and proceeded to spread across the adjacent facet.  When all was said and done, they looked like they'd grown through each other, but the reality was over-and-around. Brilliant! I thought. Could I apply this to cubes? No, evidently not. Cube facets are all (100) planes. But . . . these crystals might not have been cubes in their earliest stages, when twinning occurred! I wrote a paper on "The mechanism of certain growth twins of the penetration type" and sent it to Martin Buerger, editor of Neues Jarbuch für Mineralogie. This was before the Wrinch symposium; I had never met him. Buerger rejected it by return mail, mostly on the grounds that I hadn't quoted any of Buerger's many papers on twinning. And so I learned about turf wars in twin domains. In fact I hadn't read his papers but I quickly did. I added a reference to one of them, the paper was published, and we became friends.[5]

After reading Professor Sheftal's paper I wrote to him in Moscow; a warm and encouraging correspondence ensued, and we wrote a paper together long distance.[6] Then I heard about the scientific exchanges between the Academies of Science of the USSR and USA. I applied to spend a year at the Shubnikov Institute for Crystallography, where Sheftal' worked. I would, I proposed, study crystal growth with him, and color symmetry with Koptsik. To my delight, I was accepted for an 11-month stay. Of course the children, now 11 and 14, would come too and attend Russian schools and learn Russian; they'd managed in Holland, hadn't they? Diana, my older daughter, was as delighted as I was. We had gone to Holland on a Russian boat, and she had fallen in love with the language. (Today she holds a Ph.D. in Slavic Languages and Literature from Yale.) . . . . 
. . .
 we spent the academic year 1978-79 in Moscow.

Philosophy professors and those whose only interest in mathematics
is as a path to the occult may consult the Log24 posts tagged Tsimtsum.

Sunday, March 19, 2017

Raiders of the Lost Blocks

Filed under: General — m759 @ 10:30 am

See also "Two Blocks Short of a Design."

Thursday, March 2, 2017

Raiders of the Lost Crucible Continues

Filed under: General — m759 @ 9:59 pm

Cover, 2005 paperback edition of 'Refiner's Fire,' a 1977 novel by Mark Helprin

Mariner Books paperback, 2005

See, too, this evening's A Common Space
and earlier posts on Raiders of the Lost Crucible.

Also not without relevance —

The diamond theorem correlation at the University of Bradford

Friday, February 3, 2017

Raiders of the Lost Chalice

Filed under: General — Tags: — m759 @ 9:30 am

Personally, I prefer
the religious symbolism
of Hudson Hawk .

Monday, December 12, 2016

Raiders of the Lost Chord

Filed under: General — Tags: — m759 @ 11:30 am

Readings for Sinatra's birthday

Friday, September 2, 2016

Raiders of the Lost Birthday

Filed under: General — Tags: , , — m759 @ 10:00 am

Some images from the posts of last July 13
(Harrison Ford's birthday) may serve as funeral
ornaments for the late Prof. David Lavery.

IMAGE- Massimo Vignelli, his wife Lella, and cube

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

See as well posts on "Silent Snow" and "Starlight Like Intuition."

Monday, July 18, 2016

Raiders of the Lost Art

Filed under: General — m759 @ 2:25 am

The two wheel-like circles in this morning's previous post
suggest a review of some related (fictional) art —

Lintel from Michener's 'The Source'

 

Thursday, June 23, 2016

Raiders of the Lost Code

Filed under: General — m759 @ 11:00 am

From a web page

Breaking the Code of the Archetypal Self:
An Introductory Overview of the Research Discoveries
Leading to Neo-Jungian Structural Psychoanalysis

Dr. Moore will introduce his research and discoveries
with regard to the deep structures of the Self.
Tracing the foundations in the tradition of Jung’s
affirmation of the collective unconscious, Moore
will present his “decoding of the Diamond Body,”
a mapping of the deep structures of the Great Code
of the psyche. . . .

From the same web site

Googling "Jung" + "Diamond Body" shows that
Moore's terminology differs from Jung's.
The octahedron that Moore apparently associates
with his "diamond body" was discussed by Jung
in a different context. See selections from Ch. 14
of Jung's Aion
 "The Structure and Dynamics of the Self."

Dr. Moore appears as well in the murder-suicide story 
of last night's 11:18 PM ET post.

For the relevance of Aion  to "deep structures,"
see Jung + Diamond + Structure in this  journal
and, more specifically, "Deep  Structure."

Friday, May 27, 2016

Raiders of the Lost Crucible…

Filed under: General — Tags: — m759 @ 8:00 am

Continues .

Number and Time, by Marie-Louise von Franz

For more on the modern physicist analyzed by von Franz,
see The Innermost Kernel , by Suzanne Gieser.

The above passage suggests a meditation on this morning's
New York Times * —

"When shall we three meet again?" — William Shakespeare

“We three have scattered, leaving only me behind
to clean up the scene,” Ms. Yang wrote.
“I am alone, missing us three.” — Amy Qin

Saturday, April 9, 2016

Raiders of the Lost Crucible

Filed under: General — Tags: — m759 @ 2:28 pm

(Continued)

Vanity Fair illustrated —

Detail of illustration by Frederick Alfred Rhead of Vanity Fair,
page 96 in the John Bunyan classic Pilgrim's Progress 
(New York, The Century Co., 1912)

See also

Thursday, January 14, 2016

Raiders of the Lost Box

Filed under: General — m759 @ 10:30 am

See Triumph of the Will and Box of Nothing

"And the Führer digs for trinkets in the desert."

Saturday, October 31, 2015

Raiders of the Lost Crucible

Filed under: General,Geometry — Tags: , , — m759 @ 10:15 am

Stanford Encyclopedia of Philosophy
on the date Friday, April 5, 2013 —

Paraconsistent Logic

“First published Tue Sep 24, 1996;
substantive revision Fri Apr 5, 2013”

This  journal on the date Friday, April 5, 2013 —

The object most closely resembling a “philosophers’ stone”
that I know of is the eightfold cube .

For some related philosophical remarks that may appeal
to a general Internet audience, see (for instance) a website
by I Ching  enthusiast Andreas Schöter that displays a labeled
eightfold cube in the form of a lattice diagram —

Related material by Schöter —

A 20-page PDF, “Boolean Algebra and the Yi Jing.”
(First published in The Oracle: The Journal of Yijing Studies ,
Vol 2, No 7, Summer 1998, pp. 19–34.)

I differ with Schöter’s emphasis on Boolean algebra.
The appropriate mathematics for I Ching  studies is,
I maintain, not Boolean algebra  but rather Galois geometry.

See last Saturday’s post Two Views of Finite Space.
Unfortunately, that post is, unlike Schöter’s work, not
suitable for a general Internet audience.

Saturday, August 8, 2015

Raiders of the Lost Windows

Filed under: General — m759 @ 9:48 am

"Why is it called Windows 10 and not Windows 9?"

Good question.

See Sunday School (Log24 on June 13, 2010) —

Image-- 3x3 array of white squares .

Tuesday, October 28, 2014

Raiders of the Lost Symbol

Filed under: General,Geometry — Tags: — m759 @ 5:00 pm

A print copy of next Sunday’s New York Times Book Review
arrived in today’s mail. From the front-page review:

Marcel Theroux on The Book of Strange New Things ,
a novel by Michel Faber —

“… taking a standard science fiction premise and
unfolding it with the patience and focus of a
tai chi master, until it reveals unexpected
connections, ironies and emotions.”

What is a tai chi master, and what is it that he unfolds?

Perhaps the taijitu  symbol and related material will help.

The Origin of Change

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

“Two things of opposite natures seem to depend
On one another, as a man depends
On a woman, day on night, the imagined

On the real. This is the origin of change.
Winter and spring, cold copulars, embrace
And forth the particulars of rapture come.”

Wallace Stevens,
“Notes Toward a Supreme Fiction,”
Canto IV of “It Must Change”

Monday, October 13, 2014

Raiders of the Lost Theorem

Filed under: General,Geometry — Tags: — m759 @ 12:05 pm

(Continued from Nov. 16, 2013.)

The 48 actions of GL(2,3) on a 3×3 array include the 8-element
quaternion group as a subgroup. This was illustrated in a Log24 post,
Hamilton’s Whirligig, of Jan. 5, 2006, and in a webpage whose
earliest version in the Internet Archive is from June 14, 2006.

One of these quaternion actions is pictured, without any reference
to quaternions, in a 2013 book by a Netherlands author whose
background in pure mathematics is apparently minimal:

In context (click to enlarge):

Update of later the same day —

Lee Sallows, Sept. 2011 foreword to Geometric Magic Squares —

“I first hit on the idea of a geometric magic square* in October 2001,**
and I sensed at once that I had penetrated some previously hidden portal
and was now standing on the threshold of a great adventure. It was going
to be like exploring Aladdin’s Cave. That there were treasures in the cave,
I was convinced, but how they were to be found was far from clear. The
concept of a geometric magic square is so simple that a child will grasp it
in a single glance. Ask a mathematician to create an actual specimen and
you may have a long wait before getting a response; such are the formidable
difficulties confronting the would-be constructor.”

* Defined by Sallows later in the book:

“Geometric  or, less formally, geomagic  is the term I use for
a magic square in which higher dimensional geometrical shapes
(or tiles  or pieces ) may appear in the cells instead of numbers.”

** See some geometric  matrices by Cullinane in a March 2001 webpage.

Earlier actual specimens — see Diamond Theory  excerpts published in
February 1977 and a brief description of the original 1976 monograph:

“51 pp. on the symmetries & algebra of
matrices with geometric-figure entries.”

— Steven H. Cullinane, 1977 ad in
Notices of the American Mathematical Society

The recreational topic of “magic” squares is of little relevance
to my own interests— group actions on such matrices and the
matrices’ role as models of finite geometries.

Wednesday, September 17, 2014

Raiders of the Lost Articulation

Tom Hanks as Indiana Langdon in Raiders of the Lost Articulation :

An unarticulated (but colored) cube:

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

A 2x2x2 articulated cube:

IMAGE- Eightfold cube with detail of triskelion structure

A 4x4x4 articulated cube built from subcubes like
the one viewed by Tom Hanks above:

Image-- Solomon's Cube

Solomon’s Cube

Sunday, February 16, 2014

Raiders of the Lost…

Filed under: General — m759 @ 1:00 pm

Music Box … Continues.

Today's print New York Times  has articles on experimental and
New Age music —

In the Church of Difficult Music and
For New Age, the Next Generation.

I prefer Old Age music… for instance, that of Tony Rice —
also the subject of an article in today's print Times .

The Times  image at right above is of Croagh Patrick.

Tuesday, February 11, 2014

Raiders of the Lost…

Filed under: General — m759 @ 8:28 am

Music Box

Friday, December 6, 2013

Raiders of the Lost Script

Filed under: General — m759 @ 5:31 pm

Happy Feast of Saint Nicholas.

Saturday, November 16, 2013

Raiders of the Lost Theorem

Filed under: General,Geometry — Tags: , — m759 @ 11:30 am

IMAGE- The 'atomic square' in Lee Sallows's article 'The Lost Theorem'

Yes. See

The 48 actions of GL(2,3) on a 3×3 coordinate-array A,
when matrices of that group right-multiply the elements of A,
with A =

(1,1) (1,0) (1,2)
(0,1) (0,0) (0,2)
(2,1) (2,0) (2,2)

Actions of GL(2,p) on a pxp coordinate-array have the
same sorts of symmetries, where p is any odd prime.

Note that A, regarded in the Sallows manner as a magic square,
has the constant sum (0,0) in rows, columns, both diagonals, and  
all four broken diagonals (with arithmetic modulo 3).

For a more sophisticated approach to the structure of the
ninefold square, see Coxeter + Aleph.

Tuesday, May 14, 2013

Raiders of the Lost Aleph

Filed under: General,Geometry — Tags: , — m759 @ 9:00 am

See Coxeter + Aleph in this journal.

Epigraph to "The Aleph," a 1945 story by Borges:

"O God! I could be bounded in a nutshell,
and count myself a King of infinite space…"
– Hamlet, II, 2

Tuesday, March 26, 2013

Raiders of the Lost Symbols

Filed under: General — m759 @ 10:09 am

See Lines of Symbols in this journal.

Tuesday, November 27, 2012

Raiders of the Lost Lottery

Filed under: General — m759 @ 2:06 pm

Today's midday New York Lottery: 444 and 5222.

See Deuteronomy  4:44 and 5:2-22.

Thursday, August 16, 2012

Raiders of the Lost Tesseract

Filed under: General,Geometry — Tags: — m759 @ 8:00 pm

(Continued from August 13. See also Coxeter Graveyard.)

Coxeter exhuming Geometry

Here the tombstone says
"GEOMETRY… 600 BC — 1900 AD… R.I.P."

In the geometry of Plato illustrated below,
"the figure of eight [square] feet" is not , at this point
in the dialogue, the diamond in Jowett's picture.

An 1892 figure by Jowett illustrating Plato's Meno

Jowett's picture is nonetheless of interest for
its resemblance to a figure drawn some decades later
by the Toronto geometer H. S. M. Coxeter.

A similar 1950 figure by Coxeter illustrating a tesseract

For a less scholarly, but equally confusing, view of the number 8,
see The Eight , a novel by Katherine Neville.

Monday, August 13, 2012

Raiders of the Lost Tesseract

Filed under: General,Geometry — Tags: — m759 @ 3:33 pm

(An episode of Mathematics and Narrative )

A report on the August 9th opening of Sondheim's Into the Woods

Amy Adams… explained why she decided to take on the role of the Baker’s Wife.

“It’s the ‘Be careful what you wish’ part,” she said. “Since having a child, I’m really aware that we’re all under a social responsibility to understand the consequences of our actions.” —Amanda Gordon at businessweek.com

Related material—

Amy Adams in Sunshine Cleaning  "quickly learns the rules and ropes of her unlikely new market. (For instance, there are products out there specially formulated for cleaning up a 'decomp.')" —David Savage at Cinema Retro

Compare and contrast…

1.  The following item from Walpurgisnacht 2012

IMAGE- Excerpt from 'Unified Approach to Functional Decompositions of Switching Functions,' by Marek A. Perkowski et al., 1995

2.  The six partitions of a tesseract's 16 vertices 
       into four parallel faces in Diamond Theory in 1937

Friday, July 27, 2012

Raiders of the Lost Ring

Filed under: General,Geometry — Tags: , , , — m759 @ 11:30 am

Wikipedia on a magical ring

IMAGE- Wikipedia article, 'Seal of Solomon'

Background—  The Ring and the Stone, a story linked to here Wednesday.

"By then he was familiar with the work of the Vienna Actionists….
He once said that he had his first taste of the movement
when he heard the screams of his mother’s dental patients
from her office next door to the family’s apartment."

Obituary of a Viennese artist who reportedly died Wednesday

"Is it safe?"

Monday, January 22, 2024

Shangri-La

Filed under: General — Tags: — m759 @ 5:41 am

In memory of the lead singer of the Shangri-Las,
who reportedly died at 75 on January 19 . . .

Related reading:  Tonight's previous post and A Turner Classic.

See as well Raiders of the Lost Horizon.

Saturday, April 8, 2023

Annals of Journalism

Filed under: General — Tags: , — m759 @ 12:27 pm

Update of 12:31 PM ET —

The time  of this post, 12:27 PM ET,
suggests a 12/27 flashback:

Click the above image for a related Log24 post of 15 years ago today.

related literary remark —

"Imagine Raiders of the Lost Ark  set in 20th-century London, and then
imagine it written by a man steeped not in Hollywood movies but in Dante
and the things of the spirit, and you might begin to get a picture…."

— Doug Thorpe in an Amazon.com book reviewnot  of Dark Materials.

Tuesday, December 27, 2022

The Forms of Being

Filed under: General — Tags: , — m759 @ 1:25 pm

"If the window is this matrix of ambi- or multivalence,
and the bars of the windows-the grid-are what help us
to see, to focus on, this matrix, they are themselves 
the symbol of the symbolist work of art. They function as
the multilevel representation through which the work of art
can allude, and even reconstitute, the forms of Being."

Page 59, Rosalind Krauss, "Grids," MIT Press,
October , Vol. 9 (Summer, 1979), pp. 50-64

Related material —

Click the above image for a related Log24 post of 15 years ago today.

A related literary remark —

"Imagine Raiders of the Lost Ark  set in 20th-century London, and then
imagine it written by a man steeped not in Hollywood movies but in Dante
and the things of the spirit, and you might begin to get a picture…."

— Doug Thorpe in an Amazon.com book review, not  of Dark Materials.

Saturday, October 8, 2022

For Fans of Religious Lunacy … The Firebird Date

Filed under: General — Tags: , — m759 @ 9:01 pm

("Raiders of the Lost Spell" continues.)

The above flashback to a 2002 post was suggested by a search in
this journal for "Firebird" that yielded, as the only result . . .

http://www.amazon.com/
Witch-Seldom-Firebird-Nancy-Springer/dp/0142302201/.

That URL connects to The Hex Witch of Seldom  at Amazon.com.

That book was reportedly published by Firebird on September 16, 2002,
the date of the above Log24 post.

Tuesday, September 13, 2022

“We Got This Covered”

Filed under: General — Tags: — m759 @ 3:45 am

The previous post's quotation of the word "leitmotif" suggests a review:

      

See as well Sunday's post "Raiders of the Lost Space."

Monday, February 21, 2022

Stimulus

Filed under: General — Tags: — m759 @ 11:28 am

IMAGE- Weyl in 1949 on the relativity problem

"The class is objectively characterized, but not
the individual coordinate assignment."

Tell it to Watchduck, Hermann.

See a related remark by Quack5quack in Raiders of the Lost Coordinates.

Monday, February 7, 2022

Morphart Meets Morph Art

Filed under: General — Tags: , — m759 @ 1:51 pm

Warren (PA) Public Library's Instagram
on January 21, 2022 —

Morphart

Morph Art — from Raiders of the Lost Coordinates

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Thursday, September 30, 2021

Carthago

Filed under: General — m759 @ 12:58 am

Augustine Confessiones 3 3.1.1

veni Carthaginem, et circumstrepebat me 
undique sartago flagitiosorum amorum.

  venio, venire, veni, ventus  
come
  Carthago, Carthaginis F  
Carthage
  circumstrepo, circumstrepere, circumstrepui, circumstrepitus  
make a noise around; surround with noise; shout/cry clamorously around
  undique  
from every side/direction/place/part/source; on all/both sides/surfaces
  sartago, sartaginis F  
frying pan; mixture/medley/jumble/farrago; stove
  flagitiosus, flagitiosa -um, flagitiosior -or -us, flagitiosissimus -a -um  
disgraceful, shameful; infamous, scandalous; profligate, dissolute
  amor, amoris M 
love; affection; the beloved; Cupid; affair; sexual/illicit/… etc. etc. etc.

Related meditations —

A more straightforward image —

"I need a photo opportunity . . ." — Song lyric, Paul Simon

For those who are
less than thrilled
by St. Augustine:

See also Margaret Qualley's "Kenzo World" dance.

Those less than thrilled by Qualley's highly energetic,
but very unclassical, dance may review the Log24 post
Raiders of the Lost Images (Feb. 27, 2018).

Thursday, July 15, 2021

Legal Standing

Filed under: General — m759 @ 12:01 pm

"To demonstrate standing, a claimant must first show
he has incurred concrete, particularized and actual
or imminent injury; that the injury can be fairly traced
back to what is being challenged in court and that
the remedy sought can redress the issue."

— https://yaledailynews.com/
blog/2018/02/27/law-clinic-pushes-for-
fisa-court-transparency/

The above Yale date suggests a review of . . .

Raiders of the Lost Images . . .

which in turn suggests a review of Square Space.

Soundtrack (condensed) —

 .

Wednesday, March 31, 2021

In Memory of G. Gordon Liddy . . .

Filed under: General — m759 @ 1:48 pm

Posts tagged Ministry of Culture.

These include . . .

(From “Raiders of the Lost Coordinates,” Feb. 17, 2021.)

Thursday, February 20, 2020

In Memory of Jack Youngerman…

Filed under: General — Tags: — m759 @ 11:54 pm

An abstract artist who reportedly died at 93 yesterday.

A search in this  journal for Shubnikov yields

"Raiders of the Lost Stone" (December 26, 2017).

Tuesday, January 14, 2020

For a Black Swan

Filed under: General — m759 @ 4:01 pm

Related material from Stephen King —

— and from Black Swan  author Nassim Nicholas Taleb —

See as well this  journal on the Taleb date:  Feb. 27, 2018 —

Raiders of the Lost Images .

Sunday, September 29, 2019

Dominus Illuminatio (from the Oxford motto)

Filed under: General — Tags: — m759 @ 10:01 am

Related literary remarks — Raiders of the Lost Birthday.

Saturday, September 21, 2019

Six Dots

Filed under: General — Tags: — m759 @ 8:11 am

See other posts now tagged Six Dots.

Related narrative:  Raiders of the Lost Ring .

Sunday, December 30, 2018

Mechanical Parable

Filed under: General — m759 @ 3:59 pm

Raiders of the Lost Crucible and Bee Season continue 

"Walter Kerr, in his 1953 review in the New York Herald Tribune ,
wrote, 'The Crucible , which opened at the Martin Beck Thursday,
…seems to me to be taking a step backward into mechanical parable,
into the sort of play which lives not in the warmth of humbly observed
souls but in the ideological heat of polemic.' For Kerr, Miller’s play is
an analytical argument, a treatise, rather than a heartfelt play about
human lives."

— http://www.americanpopularculture.com/
archive/bestsellers/authur_miller.htm

A more heartfelt approach —

" … this beautiful love story . . . ."

Saturday, December 1, 2018

In Memoriam

Filed under: General — m759 @ 10:06 am

From today's print New York Times  obituary for a screenwriter
who reportedly died last Sunday —

“Indiana Jones and the Temple of Doom,”
a 1984 follow-up to “Raiders of the Lost Ark”
made an estimated $333 million worldwide.

Friday, August 3, 2018

An Emoji for Hanks

Filed under: General — m759 @ 2:47 pm

http://www.log24.com/log/pix18/180803-Mankind_Project-Facebook_post-160706.jpg

http://www.log24.com/log/pix18/180803-Sad-face-emoji.jpg

http://www.log24.com/log/pix18/180803-Orison_for_Ha-Why-post-180116.jpg

Sunday, July 15, 2018

Jewish Oases

Filed under: General,Geometry — Tags: , — m759 @ 10:06 pm

"… Lincoln Plaza Cinemas, the Juilliard String Quartet,
and the Strand Book Store remained  oases
for cultural and intellectual stimulation."

John S. Friedman in The Forward , Jan. 21, 2018

Read more: 

https://forward.com/culture/392483/
how-fred-bass-dan-talbot-robert-mann
-shaped-new-york-culture/

From  the Oasis  in Steven Spielberg's "Ready Player One" (2018) —

I prefer, from a Log24 search for Flux Capacitor

Symbologist Robert Langdon views a corner of Solomon's Cube

From "Raiders of the Lost Images" —

"The cube shape of the lost Mother Box,
also known as the Change Engine,
is shared by the Stone in a novel by
Charles Williams, Many Dimensions .
See the Solomon's Cube webpage."

Saturday, May 19, 2018

Flux Capacitor

Filed under: General,Geometry — Tags: , , , — m759 @ 4:13 pm

For Tom Hanks and Dan Brown —

Symbologist Robert Langdon views a corner of Solomon's Cube

From "Raiders of the Lost Images" —

"The cube shape of the lost Mother Box,
also known as the Change Engine,
is shared by the Stone in a novel by
Charles Williams, Many Dimensions .
See the Solomon's Cube webpage."

See as well a Google search for flux philosophy
https://www.google.com/search?q=flux+philosophy.

Uh-Oh.

Filed under: General — Tags: — m759 @ 2:27 am

From the linked website —

The circle-in-a-triangle symbol is known as "the triangle of art" —

See as well a post of Feb. 27, 2018:  Raiders of the Lost Images.

Thursday, March 8, 2018

The Trial

Filed under: General — m759 @ 8:08 pm

"At the heart of the trial was the question of
whether the complainant could have agreed
to have sex with the defendant . . .
on Halloween night in 2015 . . . ."

Vivian Wang in The New York Times  this evening

This  journal on Halloween night in 2015 —

Sunday, June 25, 2017

Do Be

Filed under: General — m759 @ 10:31 am

Today's sermon —

I prefer the cardinal interplay of doing and being,
as in Sinatra and in Nowak.

Marcela Nowak, FLUX-O project at Behance.net, Sept. 24, 2014

See also this  journal on that date
(September 24, 2014), also
Raiders of the Lost Chord,
and shortchord.org.

Do, be, do, be, do.

Wednesday, December 28, 2016

Meanwhile…

Filed under: General — m759 @ 8:30 pm

Related material —

Raiders of the Lost Birthday,  Apple Tree Children, and  Interior/Exterior

Saturday, June 25, 2016

ART WARS: The Story of Four

Filed under: General — m759 @ 4:00 am

The title is a reference to the Chicago character named "Four"
in Veronica Roth's Divergent  series.

"In July 2014, Roth revealed that she initially wrote 
Divergent  from Four's point of view . . . ." — Wikipedia

Other Chicago-related stories — "Raiders of the Lost Code
(on the recent murder-suicide of two Chicago Jungians)
and the following —

See also Jungian narrative art in

https://redice.tv/news/
on-the-nature-of-four-jung-s-quarternity-mandalas-the-stone-and-the-self
.

Friday, June 24, 2016

Contrast

Filed under: General — m759 @ 11:24 pm

From a work cited in the previous post —

"… representation of hell and the horrors
of the burial ground are missing."

— Page 384 of Joseph Campbell's The Mythic Image ,
    Princeton University Press, 1981
    (First published in 1974)

For those who regret the above omission

A review of a book published in 1977 —

"Its materials are fear and death, hallucination
and the burning of souls." 

The book's author reportedly died Thursday, June 23, 2016.

See also, from 11 AM ET that day, "Raiders of the Lost Code."

Symbol of the Self

Filed under: General — m759 @ 1:00 am

The previous post suggests a review of the phrase
symbol of the self " in this journal.

Friday, April 22, 2016

Elixir

Filed under: General — m759 @ 12:26 pm

The prominent display of an ad for Elixir Vitae in
today's 11:02 AM post suggests a review of that concept.

See also Raiders of the Lost Crucible in this journal.

Thursday, March 17, 2016

On the Eightfold Cube

Filed under: General,Geometry — Tags: , — m759 @ 12:00 am

The following page quotes "Raiders of the Lost Crucible,"
a Log24 post from Halloween 2015.

Discussion of Cullinane's eightfold cube as exhibited by Josefine Lyche at the Vigeland Museum in Oslo

From KUNSTforum.as, a Norwegian art quarterly, issue no. 1 of 2016.

Related posts — See Lyche Eightfold.

Thursday, November 5, 2015

ABC Art or: Guitart Solo

Filed under: General,Geometry — Tags: , , — m759 @ 5:55 pm

“… the A B C of being….” — Wallace Stevens

Scholia —

Compare to my own later note, from March 4, 2010 —

“It seems that Guitart discovered these ‘A, B, C’ generators first,
though he did not display them in their natural setting,
the eightfold cube.” — Borromean Generators (Log24, Oct. 19)

See also Raiders of the Lost Crucible (Halloween 2015)
and “Guitar Solo” from the 2015 CMA Awards on ABC.

Monday, July 13, 2015

The Omega Cube

Filed under: General — m759 @ 12:00 pm

Why "Omega?"

Omega is a Greek letter, Ω , used in
mathematics to denote 
a set on which
a group acts. 

Thursday, February 26, 2015

Brit Award

Filed under: General,Geometry — m759 @ 1:06 am

"The Brit Awards are the British equivalent
of the American Grammy Awards." — Wikipedia 

Detail of an image from yesterday's 5:30 PM ET post:

Related material:

From a review: "Imagine 'Raiders of the Lost Ark'
set in 20th-century London, and then imagine it
written by a man steeped not in Hollywood movies
but in Dante and the things of the spirit, and you
might begin to get a picture of Charles Williams's
novel Many Dimensions ."

See also Solomon's Seal (July 26, 2012).

Sunday, November 9, 2014

Twaddle

Filed under: General,Geometry — Tags: , — m759 @ 1:00 am

“There exists a considerable literature
devoted to the Lo shu , much of it infected
with the kind of crypto-mystic twaddle
met with in Feng Shui.”

— Lee C. F. Sallows, Geometric Magic Squares ,
Dover Publications, 2013, page 121

Cf. Raiders of the Lost Theorem, Oct. 13, 2014.

See also tonight’s previous post and
“Feng Shui” in this journal.

Thursday, October 30, 2014

Mimicry

Filed under: General — Tags: — m759 @ 5:09 pm

This journal Tuesday,  Oct. 28, 2014, at 5 PM ET:

"What is a tai chi master, and what is it that he unfolds?"

From an earlier post, Hamlet's father's ghost
on "the fretful porpentine":

Hamlet , Act 1, Scene 5 —

Ghost:

“I could a tale unfold whose lightest word
Would harrow up thy soul, freeze thy young blood,
Make thy two eyes, like stars, start from their spheres,
Thy knotted and combinèd locks to part
And each particular hair to stand on end,
Like quills upon the fretful porpentine:
But this eternal blazon must not be
To ears of flesh and blood."

Galway Kinnell:

"I roll
this way and that in the great bed, under
the quilt
that mimics this country of broken farms and woods"

— "The Porcupine"

For quilt-block designs that do not mimic farms or woods,
see the cover of Diamond Theory .  See also the quotations
from Wallace Stevens linked to in the last line of yesterday's
post in memory of Kinnell.

"… a bee for the remembering of happiness" — Wallace Stevens

Friday, October 17, 2014

Mathematics and Narrative, continued:

Filed under: General — Tags: , — m759 @ 2:01 pm

Raiders of the Lost Archetype

“… an unexpected development: the discovery of a lost archetype….”

— “The Lost Theorem,” by Lee Sallows, Mathematical Intelligencer, Fall 1997

Related material:

A scene from the 1954 film:

A check of this  journal on the above MetaFilter date — Jan. 24, 2012 —
yields a post tagged “in1954.”  From another post with that tag:

Medal of 9/15/06

Backstory:  Posts tagged Root Circle.

Saturday, October 4, 2014

The Source

Filed under: General — Tags: , , , — m759 @ 9:00 pm

"In ancient Greece, 9 was the number of
the Muses, patron goddesses of the arts.
They were the daughters of Mnemosyne ('memory'),
the source of imagination, which in turn is
the carrier of archetypal, elementary ideas to
artistic realization in the field of space-time."

— Joseph Campbell in The Inner Reaches of Outer Space

In memoriam:

 See also Raiders of the Lost Well and…

 The Eliot Omen 


Ground plan for a game of Noughts and Crosses

Sunday, March 2, 2014

Sermon

Filed under: General,Geometry — Tags: — m759 @ 11:00 am

Raiders of the Lost  (Continued)

"Socrates: They say that the soul of man is immortal…."

From August 16, 2012

In the geometry of Plato illustrated below,
"the figure of eight [square] feet" is not ,  at this point
in the dialogue, the diamond in Jowett's picture.

An 1892 figure by Jowett illustrating Plato's Meno

A more correct version, from hermes-press.com —

Socrates: He only guesses that because the square is double, the line is double.Meno: True.

 

Socrates: Observe him while he recalls the steps in regular order. (To the Boy.) Tell me, boy, do you assert that a double space comes from a double line? Remember that I am not speaking of an oblong, but of a figure equal every way, and twice the size of this-that is to say of eight feet; and I want to know whether you still say that a double square comes from double line?

[Boy] Yes.

Socrates: But does not this line (AB) become doubled if we add another such line here (BJ is added)?

[Boy] Certainly.

Socrates: And four such lines [AJ, JK, KL, LA] will make a space containing eight feet?

[Boy] Yes.

Socrates: Let us draw such a figure: (adding DL, LK, and JK). Would you not say that this is the figure of eight feet?

[Boy] Yes.

Socrates: And are there not these four squares in the figure, each of which is equal to the figure of four feet? (Socrates draws in CM and CN)

[Boy] True.

Socrates: And is not that four times four?

[Boy] Certainly.

Socrates: And four times is not double?

[Boy] No, indeed.

Socrates: But how much?

[Boy] Four times as much.

Socrates: Therefore the double line, boy, has given a space, not twice, but four times as much.

[Boy] True.

Socrates: Four times four are sixteen— are they not?

[Boy] Yes.

As noted in the 2012 post, the diagram of greater interest is
Jowett's incorrect  version rather than the more correct version
shown above. This is because the 1892 version inadvertently
illustrates a tesseract:

A 4×4 square version, by Coxeter in 1950, of  a tesseract

This square version we may call the Galois  tesseract.

Wednesday, February 12, 2014

But Seriously…

Filed under: General,Geometry — m759 @ 7:59 pm

(A sequel to yesterday's Raiders of the Lost Music Box)

See, in this book, "Walsh Functions: A Digital Fourier Series,"
by Benjamin Jacoby (BYTE , September 1977).  Some context:
Symmetry of Walsh Functions.

Saturday, May 18, 2013

Black Hole Revisited

Filed under: General — m759 @ 12:00 am

Backstory: The two previous Log24 posts
Raiders of the Lost Aleph (May 14) and
The Crying of Bucharest (May 15).

The following sequence of images was suggested by
Peter Woit's May 16 post "One Ring to Rule Them All."

Also from Devil's Night 2008:

From the May 16 Nobel Symposium talk discussed in
Woit's "One Ring to Rule Them All":

Related material:

All Souls' Day at the Still Point (Nov. 2, 2003) and

Frodo and the Oxford Murders (Oct. 13, 2011).

Thursday, May 9, 2013

Mathematics and Narrative (continued)

Filed under: General — m759 @ 7:00 pm

"Why history?
Well, the essence of history  is story ,
and a good story is an end in itself."

— Barry Mazur, "History of Mathematics  as a tool,"
    February 17, 2013

This  journal on February 17, 2013:

FROM Christoph Waltz

Filed under: Uncategorized — m759 @ 12:12 AM 

"Currently in post-production": The Zero Theorem.

For Christoph Waltz

Filed under: Uncategorized — m759 @ 12:00 AM 

Raiders of the Lost Tesseract  continues…

SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's shock,' have we done him any harm?
MENO: I think not.

Torpedo… LOS!

IMAGE- Theodore Sturgeon, 1972 reviews of Del Rey's 'Pstalemate' and Le Guin's 'Lathe of Heaven'   

See also today's previous post.

Sunday, February 17, 2013

For Christoph Waltz

Filed under: General — m759 @ 12:00 am

Raiders of the Lost Tesseract  continues…

SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's shock,' have we done him any harm?
MENO: I think not.

Torpedo… LOS!

Saturday, February 2, 2013

Catholic Schools Week

Filed under: General — Tags: , — m759 @ 6:00 pm

"The theme for the National Catholic Schools Week 2013
is 'Catholic Schools Raise the Standards.' The annual
observance starts the last Sunday in January and runs
all week, which in 2013 is January 27 to February 2." 

"After all, tomorrow is another day." —Scarlett O'Hara,
quoted here in a post of May 9, 2005.

"Dr.  Tomorrow is another guy ." —A comment on that post.

The Dr. Tomorrow link leads to a page promoting something
called the Institute of Noetic Sciences. This in turn leads to
the 2009 Dan Brown novel The Lost Symbol .

For related material in this journal, see
Raiders of the Lost Dingbat.

As for raising the standards, see the conclusion of
Adolf Holl's The Left Hand of God 

Thursday, January 24, 2013

Moondance

Filed under: General,Geometry — Tags: — m759 @ 9:01 pm

The title was suggested by an ad for a film that opens
at 10 PM EST today: "Hansel & Gretel: Witch Hunters."

Related material: Grimm Day 2012, as well as
Amy Adams in Raiders of the Lost Tesseract
and in a Film School Rejects page today.

See also some Norwegian art in
Trish Mayo's Photostream today and in
Omega Point (Log24, Oct. 15, 2012)—

Monday, October 15, 2012

Omega Point

m759 @ 2:00 PM 

For Sergeant-Major America—

IMAGE- Art exhibition with 'Omega Point' and geometric figures related to tesseract, along with movie 'Captain America' figure

The image is from posts of Feb. 20, 2011,
and Jan. 27, 2012.

This instance of the omega point is for 
a sergeant major who died at 92 on Wednesday,
October 10, 2012.

See also posts on that date in this journal—

Midnight,  Ambiguation,  Subtitle for Odin's Day,
 and Melancholia, Depression, Ambiguity.

Sunday, December 2, 2012

Knight’s Labyrinth

Filed under: General — Tags: , — m759 @ 9:29 am

A magic— indeed, diabolic— square:

IMAGE- 5x5 magic- in fact, diabolic- square

For the construction, see a book
by W. W. Rouse Ball, founding president
of a Cambridge University magic society.

For some related religious remarks,
see Raiders of the Lost Matrix.

Tuesday, August 28, 2012

Up to Date

Filed under: General — Tags: , , — m759 @ 9:29 pm

"Plato's cave was brought up to date in 1978…."

— Keith Devlin in Mathematics: The Science of Patterns

Related material from yesterday: Touchy-Feely and Plan 9.

"Plan 9 deals with the resurrection of the dead.

IMAGE- Bill Murray explains Ed Wood's 'Plan 9 from Outer Space'

For a rather different approach to Plato, see three posts of August 16, 2012—

Tuesday, August 14, 2012

Hacking 1984

Filed under: General,Geometry — Tags: — m759 @ 10:00 pm

Ian Hacking in 1984

"… theories about mathematics have had a big place in Western philosophy. All kinds of outlandish doctrines have tried to explain the nature of mathematical knowledge. Socrates set the ball rolling by using a proof in geometry to argue for the transmigration of souls. As reported by Plato in Meno , the boy who invents a proof of a theorem did not experiment on the physical world, but used only his mind in response to Socratic questions. Hence he must have had inborn knowledge of the proof and he must have got this knowledge in a previous incarnation.

Mathematics has never since been a subject for such philosophical levity."

See also this afternoon's post.

Monday, July 2, 2012

Hexagram 44 Revisited

Filed under: General — m759 @ 12:00 pm

Images from a Google search suggested by
last night's post Coming to Meet, by the recent
film "Archie's Final Project," and by a Thursday,
June 28, 2012, Times Higher Education  piece, 
"Raiders of the Lost Archives"—

IMAGE- Diana Rigg in 'The Hospital' and in 'The Avengers'

    Log24, December 8, 2008 —

David Carradine displays a yellow book-- the Princeton I Ching.

"Let the fingers do the research."
          — Archive Raiders

Monday, June 13, 2011

Thirty Years

Filed under: General — m759 @ 7:59 pm

Yesterday was the anniversary of "Raiders of the Lost Ark."

"And thirty years,
   in the galaxies of birth,

Are time for counting
   and remembering…."

— Wallace Stevens,
   "Of Ideal Time and Choice"

Thirty years and a day after "Raiders" opened…
 a more tranquil religious meditation.

Thursday, April 7, 2011

Brightness at Noon (continued)

Filed under: General — m759 @ 12:00 pm

Raiders of the Lost Tree— See Spelling the Tree,  by Robert de Marrais.

See also "Bee Season" in this journal.

Sunday, October 31, 2010

A Year Later

Filed under: General — m759 @ 8:00 pm

From this date last year—

Saturday, October 31, 2009

Happy Harvard Halloween

Filed under: Uncategorized — m759 @ 11:30 AM

http://www.log24.com/log/pix09A/091031-SF-detail.jpg

Related material: This journal on the birthday of Kate Jackson ("Satan’s School for Girls") this year and in 2005.

For more literary depth, see Spider Girl references on March 1, 2005 and August 2, 2009, as well as Raiders of the Lost Well (Feb. 18, 2009). Related religious symbolism: Follow the Harvard links of October 28 ("serious" and then "de facto university motto. [1]").

"By these Festival-rites, from the Age that is past,
To the Age that is waiting before…"

http://www.log24.com/log/pix10B/101031-NYTfrontSm.jpg

Thursday, February 25, 2010

Through the Blackboard

Filed under: General — Tags: — m759 @ 12:07 pm

Or: "Gopnik Meets Oppenheimer in Heaven"

(Or, for those less philosophically minded, "Raiders of the Lost Pussy")

Midrash on "A Serious Man"
by Steven Menashi at
The American Scene

"A Serious Man kicks off with a Yiddish-language frame story that takes place in a 19th-century Eastern European shtetl, where a married couple has an enigmatic encounter with an old acquaintance who may be a dybbuk," recounts Dana Stevens . "The import of this parable is cryptic to the point of inscrutability."

It seems to me that the Coen Brothers’ dybbuk is the Jewish folkloric equivalent of Schrodinger’s Cat .

When we first meet the main character, a physics professor named Larry Gopnik, he’s writing equations on the board: "So if that’s that, then we can do this, right? Is that right? Isn’t that right? And that’s Schrodinger’s paradox, right? Is the cat dead or is the cat not dead?" Likewise, we can’t know whether Fyvush Finkel [the aforementioned old acquaintance] is alive or a dybbuk. We can only evaluate probabilities. When a Korean student named Clive Park complains to Larry that he shouldn’t have failed the Physics midterm because "I understand the physics. I understand the dead cat," Larry says:

You can’t really understand the physics without understanding the math. The math tells how it really works. That’s the real thing; the stories I give you in class are just illustrative; they’re like, fables, say, to help give you a picture. An imperfect model. I mean— even I don’t understand the dead cat. The math is how it really works.

But the fable actually tells us that the math doesn’t capture reality.

The story in images below summarizes a meditation suggested by this parable and by

  1. Tuesday's post "Fish Story"
     
  2. Today's AP thought:
    "Open-mindedness is not the same as empty-mindedness." –John Dewey
     
  3. "Zen mind, empty mind."
     
  4. Today's NY Times obituary for Selma G. Hirsh,
    author of The Fears Men Live By (Harper, 1955).
    Hirsh died on St. Bridget's Day.
     
  5. A search for the Hirsh book that led to a web page
    with a 1955 review of J. Robert Oppenheimer's book The Open Mind
     
  6. A search for the Oppenheimer book that led to
    LIFE magazine's issue of Oct. 10, 1949
     
  7. "Satori means 'awakening.'" — TIME magazine, Nov. 21, 1960

 

Blackboard in "A Serious Man"–

Physicist accelerated against his blackboard in 'A Serious Man'

 

Blackboard at the Institute for Advanced Study–


J. Robert Oppenheimer at his blackboard

"Daddy's home! Daddy's home!"

(Click to enlarge.)

Oppenheimer homecoming, with ad for 'Pussy-Footer' alarm clock

 

Related material–

A Zen meditation from Robert Pirsig
is suggested by the time on the above
alarm clock– 8:20– interpreted,
surrealistically, as a date — 8/20.

Saturday, October 31, 2009

Happy Harvard Halloween

Filed under: General — m759 @ 11:30 am

http://www.log24.com/log/pix09A/091031-SF-detail.jpg

Related material: This journal on the birthday of Kate Jackson ("Satan’s School for Girls") this year and in 2005.

For more literary depth, see Spider Girl references on March 1, 2005 and August 2, 2009, as well as Raiders of the Lost Well (Feb. 18, 2009). Related religious symbolism: Follow the Harvard links of October 28 ("serious" and then "de facto university motto. [1]").

Thursday, September 17, 2009

Thursday September 17, 2009

Filed under: General,Geometry — Tags: — m759 @ 8:00 pm
Jennifer's Body

The following remark this evening by Ann Hornaday of The Washington Post serves as an instant review of today's previous cinematic Log24 offering starring the late Patrick Swayze:

"Watch it, forget it, move on."

A perhaps more enduring tribute:

Patrick Swayze in 'King Solomon's Mines'

 

Related material:

Solomon's Cube,
Solomon and Sheba,
and
Raiders of the Lost Stone.

"Ready when you are, C.B."

 

Friday, July 11, 2008

Friday July 11, 2008

Filed under: General — m759 @ 9:11 pm
Ready When
You Are, C. B.

New  York Lottery July 11, 2008: Mid-day 908, Evening 623

For related material, see
“Goodbye and Hello”
from 9/08, 2003 and
“Requiem for a Storyteller”
from 9/08, 2007,
as well as
“Raiders of the Lost Stone”
from 6/23, 2007 and
“George Carlin Dies”
from 6/23, 2008.

See also
today’s previous entries.

Friday, June 6, 2008

Friday June 6, 2008

Filed under: General,Geometry — Tags: — m759 @ 2:45 am
The Dance of Chance

"Harvard seniors have
every right to demand a
    Harvard-calibre speaker."

— Adam Goldenberg in
The Harvard Crimson

"Look down now, Cotton Mather"

— Wallace Stevens,
Harvard College
Class of 1901

For Thursday, June 5, 2008,
commencement day for Harvard's
Class of 2008, here are the
Pennsylvania Lottery numbers:

Mid-day 025
Evening 761

Thanks to the late
Harvard professor
Willard Van Orman Quine,
the mid-day number 025
suggests the name
"Isaac Newton."

(For the logic of this suggestion,
see On Linguistic Creation
and Raiders of the Lost Matrix.)

Thanks to Google search, the
  name of Newton, combined with
  Thursday's evening number 761,
suggests the following essay:

Science 10 August 2007:
Vol. 317. no. 5839, pp. 761-762

PHILOSOPHY OF SCIENCE:
The Cha-Cha-Cha Theory
of Scientific Discovery

Daniel E. Koshland Jr.*

* D. E. Koshland Jr. passed away on 23 July 2007. He was a professor of biochemistry and molecular and cell biology at the University of California, Berkeley, since 1965. He served as Science's editor-in-chief from 1985 to 1995.
 


What can a non-scientist add?

Perhaps the Log24 entries for
the date of Koshland's death:

The Philosopher's Stone
and The Rock.

Or perhaps the following
observations:

On the figure of 25 parts
discussed in
"On Linguistic Creation"–

5x5 ultra super magic square

"The Moslems thought of the
central 1 as being symbolic
of the unity of Allah.
"

— Clifford Pickover  

"At the still point,
there the dance is.
"

— T. S. Eliot,
Harvard College
Class of 1910

Monday, March 10, 2008

Monday March 10, 2008

Filed under: General — m759 @ 9:00 pm
Mani Padme
(Jewel in the Lotus):
 
Part I

“Raiders of the Lost Stone”
(March 10, 2006)

Part II

“Raiders of the Lost…”
(Feb. 17, 2006)

Part III

The Further
Adventures of
Tony Rome
(March 7, 2008)

Parts I and II above
may be summarized by
the famous phrase
“jewel in the lotus”–
which, some say, has
a sexual meaning–
and by the diagram

Diamond, diamond in lotus/mandorla, and structure of St. Peter's Square-- 'ovato tondo'

For discussions
of this structure
in Western thought,
see
the ovato tondo
and
Last to the Lost.

Friday, October 5, 2007

Friday October 5, 2007

Filed under: General — m759 @ 9:00 am
The Sign of
the Hat
 
Rachel Cobb photo of a man lifting his hat as he returns a crucifix to a Huichol village chapel

A man returns a crucifix
to a Huichol village chapel.

Photo by Rachel Cobb
for National Geographic

Panofsky on the iconology of hat-lifting (page 144, Columbia Dictionary of Modern Literary and Cultural Criticism, 1995)

Google Book Search

 (Schweidewege should be  
    Scheidewege, “crossroads.”)

Related material:
 
Advanced Study,
Varnedoe’s Crown,
and Log24 entries of
September 29-30, 2007.
 
Those for whom entertainment,
as Frank Rich has noted,
is God, may also consult
Raiders of the Lost Stone.
 

Friday, March 10, 2006

Friday March 10, 2006

Filed under: General — m759 @ 7:59 pm

Women’s History Month continues…

Raiders of the Lost

Stone

The image “http://www.log24.com/log/pix06/060310-Stone.jpg” cannot be displayed, because it contains errors.

In honor of the upcoming program
on Women and Mathematics
at the Institute for Advanced Study
and of Sharon Stone’s 2005 lecture
at Harvard’s Memorial Church,

here are links to reviews of
two Sharon Stone classics:


“King Solomon’s Mines” (1985),
said to be inspired by the
1981 box-office success
of
“Raiders of the Lost Ark,” and

“Diabolique” (1996), starring
Stone as
a teacher of mathematics
at St. Anselm’s School for Boys.

For related material on St. Anselm
and mathematics at Princeton, see
Modal Theology and the
April 2006 AMS Notices
on Kurt Gödel.

See also yesterday’s entry
and
Log24, Jan. 1-15, 2006.

Today’s birthdays:
Sharon Stone and
Gregory La Cava.

Wednesday, March 1, 2006

Wednesday March 1, 2006

Filed under: General — Tags: , — m759 @ 2:24 pm

Women's History Month continues:

Raiders of the Lost…
(cont. from Feb. 17)
 
For Harrison Ford
and Meg Ryan,
a quotation from
Sir Walter Raleigh,
via Susanna Moore
and Elizabeth Tallent:
 
"Give me my scallop shell of quiet"
 
The image “http://www.log24.com/log/pix06/060301-Moore.jpg” cannot be displayed, because it contains errors.

Author Susanna Moore,
photo by Paresh Gandhi

Related material:

An article in The Telegraph
on the late Sybille Bedford
(see also the previous entry), and

The image “http://www.log24.com/log/pix06/OnGloryRoads3.jpg” cannot be displayed, because it contains errors.

On Glory Roads:
A Pilgrim's Book
About Pilgrimage
,
by Eleanor Munro

Sunday, February 19, 2006

Sunday February 19, 2006

Filed under: General — m759 @ 2:04 pm

But seriously…

Raiders of the Lost Matrix
(continued)

The Matrix:

The image “http://www.log24.com/log/pix06/060219-Bingo2.jpg” cannot be displayed, because it contains errors.

Click on pictures for details.

In memory of George T. Davis,
who died on February 4,
a Hollywood ending:

Santa Claus rides alone.”
Clint Eastwood  

Friday, February 17, 2006

Friday February 17, 2006

Filed under: General — m759 @ 1:09 pm
Raiders of the Lost…
(continued)

“‘Tony Rome’ is flavored with enough in-jokes to make any Sinatra fan smile– Frank sleeping in his office underneath a copy of the Jewish Daily Forward; confronting a lady who needs help finding her ‘lost pussy’….”Tony Rome

Monday, February 6, 2006

Monday February 6, 2006

Filed under: General,Geometry — m759 @ 10:00 am
The Diamond Theory of Truth


“Legend says that when the stones
are brought together the diamonds
inside of them will glow.”

— Harrison Ford in
“Indiana Jones and the
Temple of Doom”

In today’s online New York Times:

(1) A review of pop-archaeology TV,
     “Digging for the Truth,”
(2) a Sunday news story,
     “Looking for the Lie,”
(3) and a profile,
     “Storyteller in the Family.”

From (1):
“The season premiere ‘Digging for the Truth: The Real Temple of Doom,’ showed Mr. Bernstein in South America, exploring tunnels….”
From (2):
“… scientists are building a cognitive theory of deception to show what lying looks like….”
From (3):
“I did feel one had to get not just the facts, but the emotional underpinnings.”

Related material:

Log24 on

Harrison Ford’s birthday
last July–

The image “http://www.log24.com/log/pix05A/050713-Ford.jpg” cannot be displayed, because it contains errors.

— and Mathematics and Narrative.

See also Saturday’s entry,
Raiders of the Lost Matrix,
for logic as an aid in
detecting lies.

Sunday, June 15, 2003

Sunday June 15, 2003

Filed under: General,Geometry — Tags: , , — m759 @ 3:00 pm

Readings for Trinity Sunday

  1. Triune knot:
    Problems in Combinatorial Group Theory, 7 and 8, in light of the remark in Section 8.3 of Lattice Polygons and the Number 12 
  2. Cardinal Newman:
    Sermon 24
  3. Simon Nickerson:
    24=8×3.

For more on the structure
discussed by Nickerson, see

Raiders of the Lost Matrix:

For theology in general, see

Jews Telling Stories.

Confession in 'The Seventh Seal'

Saturday, May 24, 2003

Saturday May 24, 2003

Filed under: General — m759 @ 1:06 am

Mental Health Month, Day 24:

The Sacred Day of
Kali, the Dark Lady

On this day, Gypsies from all over Europe gather in Provence for the sacred day of St. Sarah, also known as Kali.

Various representations of Kali exist; there is a novel about the ways men have pictured her:

From the prologue to
The Dark Lady,

 by Mike Resnick.

She was old when the earth was young.

She stood atop Cemetery Ridge when Pickett made his charge, and she was there when the six hundred rode into the Valley of Death.  She was at Pompeii when Mount Vesuvius blew, and she was in the forests of Siberia when the comet hit.  She hunted elephant with Selous and buffalo with Cody, and she was there the night the high wire broke beneath the Flying Wallendas.  She was at the fall of Troy and the Little Bighorn, and she watched Manolete and Dominguez face the brave bulls in the bloodstained arenas of Madrid….

She has no name, no past, no present, no future.  She wears only black, and though she has been seen by many men, she is known to only a handful of them.  You’ll see her — if you see her at all — just after you’ve taken your last breath.  Then, before you exhale for the final time, she’ll appear, silent and sad-eyed, and beckon to you.

She is the Dark Lady, and this is her story.

The above is one of the best descriptions of Kali I know of in literature; another is in a short story by Fritz Leiber, “Damnation Morning.”   It is not coincidental that one collection of Leiber’s writings is called “Dark Ladies.”

My journal note “Biblical Proportions” was in part inspired by Leiber.

Frank Sinatra may have pictured her as Ava Gardner.  I think I saw her the night Sinatra died… hence my entries of March 31 and April 2, 2003. 

It is perhaps not irrelevant that Kali is, among other things, a mother goddess, and that my entry “Raiders of the Lost Matrix” of May 20 deals with this concept and with the number 24.

The above religious symbol (see “Damnation Morning“) pictures both the axes of symmetry of the square¹ and a pattern with intriguing combinatorial properties².  It also is the basis of a puzzle³ I purchased on August 29, 1997 — Judgment Day in Terminator 2.  Linda Hamilton as Sarah Connor in that film is an excellent representation of the Dark Lady, both as mother figure and as Death Goddess.

 
Sarah Connor

Background music: “Bit by bit…” — Stephen Sondheim… See Sondheim and the Judgment Day puzzle in my entry of May 20. The Lottery Covenant.

¹ A. W. Joshi, Elements of Group Theory for Physicists, Third Edition, Wiley, 1982, p. 5

² V. K. Balakrishnan, Combinatorics, McGraw-Hill, 1995, p. 180

³ The Izzi Puzzle

Tuesday, May 20, 2003

Tuesday May 20, 2003

Filed under: General — m759 @ 3:06 am

Raiders of the Lost Matrix

“In general, a matrix is something that provides support or structure, especially in the sense of surrounding and/or shaping. It comes from the Latin word for ‘womb,’ itself derived from the Latin word for ‘mother,’ which is mater [as in alma mater].” — Wikipedia

For a mystical interpretation of the above matrix as it relates to the Hebrew words at the center of the official Yale seal, see Talmud

 

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