Log24

Thursday, April 4, 2019

Expanding the Spielraum . . .

Filed under: General — Tags: — m759 @ 9:27 PM

Continues . . .

. . . with Stephen King.

Saturday, June 3, 2017

Expanding the Spielraum (Continued*)

Filed under: General,Geometry — Tags: — m759 @ 1:13 PM

Or:  The Square

"What we do may be small, but it has
 a certain character of permanence."
— G. H. Hardy

* See Expanding the Spielraum in this journal.

Wednesday, April 12, 2017

Expanding the Spielraum

Filed under: General,Geometry — Tags: , — m759 @ 9:48 AM

Cézanne's Greetings.

"Cézanne ignores the laws of classical perspective . . . ."

— Voorhies, James. “Paul Cézanne (1839–1906).”
In Heilbrunn Timeline of Art History .  New York:
The Metropolitan Museum of Art, 2000–. (October 2004)

Some others do not.

This is what I called "the large Desargues configuration
in posts of April 2013 and later.

Sunday, December 11, 2016

Expanding the Spielraum

Filed under: General — m759 @ 11:00 AM

(Continued)

Tony Stark's "little gray area" remark to Peter Parker 
in the previous post suggests an elementary calculation:

Compare to a remark from Wikipedia:

"This is the total area of
the 88 modern constellations 
in the sky."

— Wikipedia, Square degree

Wednesday, June 15, 2016

Expanding the Spielraum

Filed under: General — Tags: — m759 @ 2:40 PM

Continues

Rubik cube in the heading of the homepage of the Notices of the American Mathematical Society

"My AMS invited address at the SIAM Annual Meeting July 11–15
in Boston discusses the extension of eigenvectors and singular
vectors from matrices to higher order tensors."

Bernd Sturmfels in the June-July 2016 AMS Notices

See also Sturmfels in this  journal — for instance, in
"Expanding the Spielraum," a post of Feb. 3, 2015 —

Thursday, May 26, 2016

Expanding the Spielraum

Filed under: General — m759 @ 1:45 AM

(Continued)

The physicist Hendrik van Dam was mentioned in recent posts.

He reportedly died at 78 on February 11, 2013.

A post from that date, and a followup —

Monday, October 26, 2015

Expanding the Spielraum

Filed under: General — m759 @ 4:00 PM

(Continued)

Halloween meditation  on  the Tummelplatz  at Innsbruck

"Die Ritter und Knappen des nahegelegenen Ambras
pflegten hier ihre Rosse zu tummeln, woher sich auch
der Name Tummelplatz  schreibt."

"The knights and squires of nearby Ambras used to let their
steeds romp here, whence came the name Tummelplatz ." 

— Quelle: Ludwig von Hörmann, "Der Tummelplatz  bei Amras,"
in: Der Alpenfreund , 1. Band, Gera 1870, S. 72 – 73.

See as well Sigmund Freud, Erinnern, Wiederholen und Durcharbeiten
(1914) —

"Wir eröffnen ihm die Übertragung als den Tummel­platz ,
auf dem ihm gestattet wird, sich in fast völliger Freiheit
zu entfalten, und auferlegt ist, uns alles vorzuführen,
was sich an pathogenen Trieben im Seelenleben des
Analysierten verborgen hat."

"We admit it into the transference as a playground
in which it is allowed to expand in almost complete freedom
and in which it is expected to display to us everything in the
way of pathogenic instincts that is hidden in the patient's mind."

This passage has been discussed by later psychotherapists,
notably Russell Meares.  Dr. Meares, working from a translation
that has "playground" for Freud's Tummelplatz , uses Spielraum  
in place of Freud's own word.

For related material in this  journal, see Expanding the Spielraum.
An illustration from that search —

IMAGE- Concepts of Space

Thursday, June 18, 2015

Expanding the Spielraum

Filed under: General — Tags: — m759 @ 2:25 PM

(Continued from Feb. 3, 2015)

IMAGE- Spielfeld (1982-83), by Wolf Barth

The above artist  Wolf Barth is not the same person
as the mathematician  Wolf Barth quoted in the 
previous post.  For further background on the artist, see
an article in Neue Zürcher Zeitung  from Nov. 15, 2013.

Saturday, April 18, 2015

Expanding the Spielraum

Filed under: General — Tags: — m759 @ 1:30 PM

Continues.

See also today's previous post and the new film "Beyond the Reach,"
filmed in northwest New Mexico —

IMAGE- Map of northwest New Mexico

Tuesday, February 3, 2015

Expanding the Spielraum

Filed under: General — Tags: , — m759 @ 11:00 AM

A short poem by several authors:

"The role of
the 16 singular points
on the Kummer surface
is now played by
the 64 singular points
on the Kummer threefold."

— From Remark 2.4 on page 9 of
"The Universal Kummer Threefold,"
by Qingchun Ren, Steven V Sam,
Gus Schrader, and Bernd Sturmfels,
http://arxiv.org/abs/1208.1229v3,
August 6, 2012 — June 12, 2013.

See also "Expanded Field" in this journal.

IMAGE- Concepts of Space

Illustration from "Sunday School," July 20, 2014.

Other Log24 background:  Kummer, Spielraum, Art Space.

Monday, October 26, 2015

Expanding the Seagram Spielraum

Filed under: General — m759 @ 11:20 PM

From the previous post, Expanding the Spielraum

"The knights and squires of nearby Ambras used to let their
steeds romp here, whence came the name Tummelplatz ." 

— Quelle: Ludwig von Hörmann, "Der Tummelplatz  bei Amras,"
in: Der Alpenfreund , 1. Band, Gera 1870, S. 72 – 73.

"Integrity, Craftsmanship, Tradition"

Thursday, July 2, 2015

Hausdorff’s Spielraum

Filed under: General — Tags: — m759 @ 2:45 AM

Continued from January 31, 2015 .

Deepening the Spielraum

Filed under: General,Geometry — Tags: — m759 @ 2:00 AM

(A sequel to Expanding the Spielraum (Feb. 3, 2015))

"Knowledge, wisdom even, lies in depth, not extension."

Tim Parks in The New York Review of Books ,
     5 PM ET on June 26, 2015

See also Log24 posts on the following figure —

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

Friday, February 6, 2015

The Annotated Spielraum

Filed under: General — Tags: — m759 @ 7:00 AM

Comments on two sub-images from yesterday's
The Big Spielraum  (image, 1 MB) that may or
may not interest Emma Watson —

The Potter Sub-Image

This is from a link in a July 8, 2011, post:

The above "Childhood's End" link leads to
a midrash on the Harry Potter series:

"After pg. 759 in Harry Potter and the 
Deathly Hallows 
, my childhood ended."

The Carmichael Sub-Image

The number of the last page in the last Harry Potter
book is 759.  This number may, for those with
cabalistic tendencies, be interpreted as the
number 3*23*11 from a 1931 mathematics paper:

Thursday, February 5, 2015

The Big Spielraum

Filed under: General — Tags: — m759 @ 12:14 PM

From the Office for the Arts at Harvard:

Harvard Thinks Big VI

College Events Board

Location: Sanders Theatre, Memorial Hall,
45 Quincy Street, Cambridge
Parking: none

On Sale Date: 1/29/2015
How to get tickets: The Harvard Box Office
617-496-2222

Thursday 2/5 08:00 PM

Ticket Prices: Free. Harvard ID only.
2 tickets per person per ID.
Tickets valid until 7:45PM. 

Ticket Availability: Good 

The Harvard College Events Board presents Harvard Thinks Big VI, a night of big ideas and thinking beyond traditional boundaries. On Thursday February 5th at 8 pm in Sanders Theatre, 7 Harvard professors and lecturers will speak for ten minutes each to discuss a topic that intrigues and excites them. This annual event was first started in order to introduce the Harvard community to the fascinating research and developments from some of the greatest minds on campus. 

See as well The Big Spielraum  (1 MB).

Monday, February 2, 2015

Spielraum as Ω

Filed under: General,Geometry — Tags: , — m759 @ 6:29 PM
 

From "Origins of the Logical Theory of Probability: von Kries, Wittgenstein, Waismann," by Michael Heidelberger —

"Von Kries calls a range of objective possibilities of a hypothesis or event (under given laws) its Spielraum   (literally: play space), which can mean ‘room to move’, ‘leeway’, ‘latitude of choice’, ‘degree of freedom’ or ‘free play’ and ‘clearance’ – or even ‘scope’. John Maynard Keynes translated it as ‘field’, but the term ‘range’ has generally been adopted in English. Von Kries now holds that if numerical probability were to make any sense at all it must be through this concept of the Spielraum  . Von Kries’s theory is therefore called a ‘Spielraum  theory’ or ‘range theory of probability’."

— International Studies in the Philosophy of Science , Volume 15, Issue 2, 2001, pp. 177-188

See also the tag Points Omega
(Scroll down to January 11-12, 2015.)

Related material:

"Now, for example, in how far are
the six sides of a symmetric die
'equally possible' upon throwing?"

— From "The Natural-Range Conception
     of Probability," by Dr. Jacob Rosenthal,
     page 73 in Time, Chance, and
     Reduction: Philosophical Aspects of
     Statistical 
Mechanics , ed. by 
     Gerhard Ernst and Andreas Hüttemann, 
     Cambridge U. Press, 2010, pp. 71-90

Sunday, February 1, 2015

Spielraum III

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

From today's Super Bowl Halftime:

Click for image in context.

See also Spielraum  in this journal.

Saturday, January 31, 2015

Spielraum II

Filed under: General — Tags: — m759 @ 8:45 PM

For those who prefer Heidegger to Hausdorff:

Spielraum

Filed under: General — Tags: — m759 @ 1:27 PM

From the concluding paragraph of a new book by
mathematician Michael Harris:

"A team of eminent scholars is completing a definitive
edition of Hausdorff’s collected works—'unique
in the annals of mathematical publishing'— with the
care befitting the literary figure he undoubtedly was….
he is honored as, perhaps, the first modern
mathematician to give a name to what we have been
calling the 'relaxed field'— he called it the
'Spielraum  of thought'— and as a mathematician
who never lost his sensitivity to his chosen field’s
problematic attractions while remaining fully aware that
every veil lifted only reveals another veil."

— Harris, Michael, Mathematics without Apologies:
Portrait of a Problematic Vocation  
(2015-01-18) 
(pp. 324-325). Princeton U. Press. Kindle Edition. 

Related material:  Spiel ist nicht Spielerei .

Friday, September 4, 2020

Force Field of Dreams

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

(Continued from September 22, 2002.)

“As you read, watch for patterns. Pay special attention to
imagery that is geometric….” — “Pattern in The Defense

See as well Wednesday’s Smile,  and “Expanding the Spielraum .

Monday, March 16, 2020

Mathematics and Narrative* Continues:

Filed under: General — m759 @ 1:27 AM

Expanding the Spielraum

Mathematics:  See Tetrahedron vs. Square in this journal
(Notes on two different models of schoolgirl space ).

Narrative:  Replacing the square  from the above posts by
a related cube 

… yields a merchandising inspiration

Dueling Holocrons: 

Jedi Cube vs. Sith Tetrahedron

.

* See also earlier posts on Mathematics and Narrative.

Friday, April 5, 2019

A Definite Field

Filed under: General — m759 @ 10:45 AM

"We render the compulsion harmless, and indeed useful,
by giving it the right to assert itself in a definite field.
We admit it into the transference as a playground…."

— Sigmund Freud, 1914, "Remembering, Repeating,
and Working-Through" (See "Expanding the Spielraum,"
Oct. 26, 2015, in this  journal.)

An indefinite field —


A definite field —

A circular I Ching

Monday, October 22, 2018

Story Space

Filed under: General — Tags: — m759 @ 4:48 PM

A better term than "phase space" might be "story space."

See as well Expanding the Spielraum.

Sunday, June 4, 2017

Sequel to “The Square”* —

Filed under: General — m759 @ 3:03 PM

The Cube

CodePen logo, pictured here on May 28, 2017

From YouTube, "The Cube," published on April 6, 2016

Meanwhile, also on April 6, 2016, at 2:01 AM ET 

* See The Pinterest Directive and Expanding the Spielraum.

Thursday, April 20, 2017

Point 8777*

Filed under: General — m759 @ 2:42 PM

Or:  Expanding the Spielraum, continued

Wikipedia on author Michael Connelly

Connelly had planned on following his father’s early choice of
career in building construction and started out at the 
University of Florida in Gainesville as a building construction major.
After earning grades that were lower than expected, Connelly went
to see Robert Altman’s film The Long Goodbye (1973) and was
enchanted by what he saw. The film, based on Raymond Chandler’s 
1953 novel of the same name, inspired Connelly to want to become
a mystery writer. Connelly went home and read all of Chandler's
works featuring Philip Marlowe, a detective in Los Angeles during
the 1940s and ‘50s, and decided to switch majors to journalism with
a minor in creative writing.[4] He was a student of Harry Crews.

[See also

https://blogs.wsj.com/speakeasy/2012/11/24/
the-teacher-michael-connelly-never-forgot/
.]

A 2002 novel by Connelly — City of Bones .

Two scenes from a 2014 TV pilot based on the 2002 novel —

The "Bosch" pilot does not state the address, but its location in the
Hollywood Hills suggests a review of Heinlein Lottery in this journal. 

"Bonedigger Bonedigger
 Dogs in the moonlight"
 — Paul Simon

* Title suggested by that of the previous post, "Point Zero."

Friday, June 3, 2016

Bruins and van Dam

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

A review of some recent posts on Dirac and geometry,
each of which mentions the late physicist Hendrik van Dam:

The first of these posts mentions the work of E. M. Bruins.
Some earlier posts that cite Bruins:

Thursday, April 30, 2015

Meditation on an Icon

Filed under: General — m759 @ 2:01 AM

IMAGE- Brian Bard on 'Heidegger's Reading of Heraclitus'

See also Legespiel  in this journal.

Saturday, February 28, 2015

Elegy with Stars

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

This evening's New York Times —

"William Thomas McKinley, a prolific American composer
whose music was infused with the jazz he had performed
since childhood, died on Feb. 3 at his home in Reading,
Mass. He was 76.

He died in his sleep, his son Elliott said."

"William Thomas McKinley: Elegy for Strings (2006)

[Elliott McKinley]  

137 views as of 9:45 PM ET Feb. 28, 2015

Published on Feb 11, 2015

Composed as an elegy and tribute for friends and family
that have passed, spurred by the passing of McKinley's
long time friend, drummer Roger Ryan. The performance
heard here is by the Seattle Symphony under the direction
of Gerard Schwarz. 

Photos by Elliott McKinley (Rho Ophiuchi nebula complex…
and the Pleiades…) shot at Cherry Springs State Park."

Related material from the date of McKinley's death —
Expanding the Spielraum.

Thursday, October 29, 2020

Images in posts are down.

Filed under: General — Tags: , — m759 @ 9:30 AM

The service hosting my Log24 images is down. I do not know
when it will be up again.*

Meanwhile, a WordPress Media workaround image —

Honeywell H1 Quantum Computer Methods

Related narrative for a Code Girl

“Tickle: Change, Shift, Reveal.”

* Update at 5 AM Oct. 30: Images are back.
To celebrate their return . . . .
“Dance Practice Video,” still and detail.

Monday, October 26, 2020

Theory

Filed under: General — Tags: , — m759 @ 11:37 AM

These news items suggest a review —

The above “Pynchon’s Paranoid History” page number  appeared
in this  journal on Groundhog Day, 2015 —

David Justice on a Zeta-related theory

Saturday, October 24, 2020

Switchin’ the Positions*

Filed under: General — Tags: , — m759 @ 11:27 AM

“C24 is the list of codewords of the extended
binary Golay code C24.  Each codeword is expressed
by a subset of the set M  of the positions  [1, . . . , 24]
of MOG.”

— From Shimada’s notes on computational data at
http://www.math.sci.hiroshima-u.ac.jp/~shimada/
preprints/Edge/PaperEdge/compdataEdge.pdf
.

*  Related material — A new Ariana Grande video and . . .

a recent digital artwork, “Code Girl,” with accompanying story —

Sunday, October 18, 2020

The Limits of Language

Filed under: General — Tags: — m759 @ 9:37 AM

Wittgenstein, Philosophical Investigations  118-119 —

118. Where does our investigation get its importance from,
since it seems only to destroy everything interesting,
that is, all that is great and important? (As it were all
the buildings, leaving behind only bits of stone and
rubble.) What we are destroying is nothing but
houses of cards  and we are clearing up the ground
of language on which they stand.
119. The results of philosophy are the uncovering of one
or another piece of plain nonsense and of bumps
that the understanding has got by running its head up against the limits of language. These bumps make us
see the value of the discovery.

Unfolded

Filed under: General — Tags: — m759 @ 5:10 AM

See “Unfolded.jpg” in this journal.  From that search —

Pentagon with pentagram    

Compare and contrast these figures with images by Wittgenstein in . . .

Wittgenstein's pentagram and 4x4 'counting-pattern'

Related material from last night’s post Modernist Cuts

Schlick also appears in recent posts tagged Moriarty Variations.

Saturday, October 17, 2020

“I Could a Tale …”

Filed under: General — Tags: — m759 @ 9:51 AM

Unfold

The Doily Man

Filed under: General — Tags: — m759 @ 12:06 AM

Monday, October 12, 2020

New Fields

Filed under: General — Tags: — m759 @ 12:12 PM

Old Fields

Filed under: General — Tags: — m759 @ 3:00 AM

Tuesday, October 6, 2020

Only Connect :  Bulk Apperception* Continues.

Filed under: General — Tags: , — m759 @ 11:49 AM

The above Vanity Fair  article was republished on the Web by VF
on September 3, 2013.  See also this  journal on that date.

Related religious remarks —

* “Bulk apperception” is a phrase from Westworld. See Log24 notes.

Friday, September 11, 2020

In Memoriam

Filed under: General — Tags: , — m759 @ 2:14 PM
From the Vanderbilt University obituary of Vaughan F. R. Jones —

“During the mid-1980s, while Jones was working on a problem in von Neumann algebra theory, which is related to the foundations of quantum mechanics, he discovered an unexpected link between that theory and knot theory, a mathematical field dating back to the 19th century.

Specifically, he found a new mathematical expression—now known as the Jones polynomial—for distinguishing between different types of knots as well as links in three-dimensional space. Jones’ discovery had been missed by topologists during the previous 60 years, and his finding contributed to his selection as a Fields Medalist.

‘Now there is an area of mathematics called
quantum topology, which basically followed
from his original work,’

said Dietmar Bisch, professor of mathematics.” [Link added.]

Related to Jones’s work —

“Topological Quantum Information Theory” at
the website of Louis H. Kauffman —
http://homepages.math.uic.edu/~kauffman/Quanta.pdf.

Kauffman

Welcome to AMS-LaTeX

Filed under: General — Tags: , — m759 @ 1:26 PM

Elsewhere on that same date —

Thursday, September 3, 2020

LA Stories

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

Recreation of a 1960s LA marquee in “Once Upon a Time in Hollywood” —

But seriously . . .

See also a “Once-Upon-a-Time”-related death.

Wednesday, September 2, 2020

Smile.

Filed under: General — Tags: — m759 @ 10:31 PM

https://www.shutterstock.com/editorial/image-editorial/various-film-stills-390863md

Wednesday, July 22, 2020

Card

Filed under: General — Tags: , — m759 @ 2:48 AM

The pattern of the thing precedes the thing.
I fill in the gaps of the crossword at any spot
I happen to choose. These bits I write on
index cards until the novel is done.”

— Vladimir Nabokov, interview,
Paris Review  No. 41 (Summer-Fall 1967).

Another story —

Related material:  Mathematics as a Black Art.

Tuesday, July 14, 2020

The Sextet Enigma

Filed under: General — Tags: — m759 @ 1:27 PM

In memory of . . .

“Helene Lovie Aldwinckle,
codebreaker, broadcaster and gallerist,
born 26 October 1920; died 24 April 2020″ —

Other posts now also tagged The Cologne Sextet.

The Log: A Tale for Joe Hill

Filed under: General — Tags: — m759 @ 4:43 AM

Click on the tag “The Log” for other parts of the tale.

Monday, July 13, 2020

The Lexicographic Octad Generator (LOG)*

Filed under: General — Tags: , , — m759 @ 5:43 PM

The lexicographic Golay code
contains, embedded within it,
the Miracle Octad Generator.

By Steven H. Cullinane, July 13, 2020

Background —


The Miracle Octad Generator (MOG)

of R. T. Curtis (Conway-Sloane version) —

A basis for the Golay code, excerpted from a version of
the code generated in lexicographic order, in

Constructing the Extended Binary Golay Code
Ben Adlam
Harvard University
August 9, 2011:

000000000000000011111111
000000000000111100001111
000000000011001100110011
000000000101010101010101
000000001001011001101001
000000110000001101010110
000001010000010101100011
000010010000011000111010
000100010001000101111000
001000010001001000011101
010000010001010001001110
100000010001011100100100

Below, each vector above has been reordered within
a 4×6 array, by Steven H. Cullinane, to form twelve
independent Miracle Octad Generator  vectors
(as in the Conway-Sloane SPLAG version above, in
which Curtis’s earlier heavy bricks are reflected in
their vertical axes) —

01 02 03 04 05 . . . 20 21 22 23 24 -->

01 05 09 13 17 21
02 06 10 14 18 22
03 07 11 15 19 23
04 08 12 16 20 24

0000 0000 0000 0000 1111 1111 -->

0000 11
0000 11
0000 11
0000 11 as in the MOG.

0000 0000 0000 1111 0000 1111 -->

0001 01
0001 01
0001 01
0001 01 as in the MOG.

0000 0000 0011 0011 0011 0011 -->

0000 00
0000 00
0011 11
0011 11 as in the MOG.

0000 0000 0101 0101 0101 0101 -->

0000 00
0011 11
0000 00
0011 11 as in the MOG.

0000 0000 1001 0110 0110 1001 -->

0010 01
0001 10
0001 10
0010 01 as in the MOG.

0000 0011 0000 0011 0101 0110 -->

0000 00
0000 11
0101 01
0101 10 as in the MOG.

0000 0101 0000 0101 0110 0011 -->

0000 00
0101 10
0000 11
0101 01 as in the MOG.

0000 1001 0000 0110 0011 1010 -->

0100 01
0001 00
0001 11
0100 10 as in the MOG.

0001 0001 0001 0001 0111 1000 -->

0000 01
0000 10
0000 10
1111 10 as in the MOG.

0010 0001 0001 0010 0001 1101 -->

0000 01
0000 01
1001 00
0110 11 as in the MOG.

0100 0001 0001 0100 0100 1110 -->

0000 01
1001 11
0000 01
0110 00 as in the MOG.

1000 0001 0001 0111 0010 0100 -->

10 00 00
00 01 01
00 01 10
01 11 00 as in the MOG (heavy brick at center).

Update at 7:41 PM ET the same day —
A check of SPLAG shows that the above result is not new:

And at 7:59 PM ET the same day —
Conway seems to be saying that at some unspecified point in the past,
M.J.T. Guy, examining the lexicographic Golay code,  found (as I just did)
that weight-8 lexicographic Golay codewords, when arranged naturally
in 4×6 arrays, yield certain intriguing visual patterns. If the MOG existed
at the time of his discovery, he would have identified these patterns as
those of the MOG.  (Lexicographic codes have apparently been
known since 1960, the MOG since the mid-1970s.)

* Addendum at 4 AM ET  the next day —
See also Logline  (Walpurgisnacht 2013).

Unpoetic License

Filed under: General — Tags: , — m759 @ 6:21 AM

The above novel uses extensively the term “inscape.”
The term’s originator, a 19th-century Jesuit poet,
is credited . . . sort of.  For other uses of the term,
search for Inscape in this journal. From that search —

A quote from a 1962 novel

There’s something phoney
in the whole setup, Meg thought.
There is definitely something rotten
in the state of Camazotz.”

Addendum for the Church of Synchronology

The Joe Hill novel above was published (in hardcover)
on Walpurgisnacht —April 30, 2013.  See also this journal
on that date.

Sunday, July 12, 2020

Jack in the Box

Filed under: General — Tags: — m759 @ 3:35 PM

The phrase “the ability to jump in and out of spaces” was quoted
in an update this morning to a July 2 post, “The Maxwell Enticement.”

This suggests other Log24 posts now tagged “Jack in the Box.”

A related image, from Know Your Meme

Saturday, July 4, 2020

Plan 9 from Oz

Filed under: General — Tags: — m759 @ 4:13 AM

Image from a film review of “Eureka” (a 1983 film by Nicolas Roeg).
Note the date of the review — January 09, 2015.

Also on January 09, 2015 —

Related cinematic philosophy —

Final scene from 'Paths of Glory'

Note the number, 701, on the colonel’s collar.

Friday, July 3, 2020

The Hot Rock

Filed under: General — Tags: — m759 @ 1:38 PM

See also a different interpretation, by David Lynch,
of the “twin peaks” concept —

Midrash for Mayakofsky

Thursday, July 2, 2020

The Speed of Thought

Filed under: General — Tags: — m759 @ 5:49 PM

From the above search result — “0.69 seconds.”

See as well Theresa Russell and Rutger Hauer in Eureka .  . .

See also a different interpretation, by David Lynch,
of the “twin peaks” concept —

The Maxwell* Enticement

Filed under: General — Tags: , — m759 @ 5:20 PM

[Update of Sunday morning, July 12, 2020 —

This July 2 post was suggested in part by the July 1 post Magic Child
and in part by the Sept. 15, 1984, date in the image below. For more
details about that date, possibly the death date of author Richard
Brautigan, see “The Life and Death of Richard Brautigan,” by
Lawrence Wright, in Rolling Stone  on April 11, 1985.

From that article:

Marcia called him the next night [Sept. 15, 1984]
in Bolinas. He asked if she liked his mind. “I said,
‘Yes, Richard, I like your mind. You have the ability
to jump in and out of spaces. It’s not linear thinking;
it’s exciting, catalytic, random thinking.’ “

Such thinking, though interesting, is not recommended for the
general public.  Sept. 15, 1984, was perhaps Brautigan’s last day alive.]

* See Maxwell in posts tagged Gods and Giants.

Wednesday, July 1, 2020

The Long Strange Road

Filed under: General — Tags: — m759 @ 12:55 PM

The road is long
With many a winding turn”

Neil Diamond

Magic Child

Filed under: General — Tags: , — m759 @ 12:06 PM

Actress Descending a Staircase

Filed under: General — Tags: , — m759 @ 3:25 AM

The above title was suggested by a scene in Body Double  (1984) . . .

Variations, starring Theresa Russell, on related themes

The De Palma Balcony in Body Double , and “ready for my closeup” —

“Bing bang, I heard the whole gang!”

Summary — 

Tuesday, June 30, 2020

The Social Network

Filed under: General — Tags: , , , — m759 @ 5:27 PM

Writer Robert Avrech on director Brian De Palma —

“Both Brian and I greatly admire Alfred Hitchcock so we were
pretty much on the same page aesthetically. That’s how I came
to write Body Double , a superb thriller that immediately thrust
me into the Hollywood limelight.”

— https://www.opednews.com/populum/page.php?
f=Behind-the-Scenes-with-Hol-by-Joan-Brunwasser-
American-Jews_Hollywood_Interviews_Judaism-Jewish-
131219-897.html

 

Monday, June 29, 2020

The Same Page

Filed under: General — Tags: , — m759 @ 4:54 PM

Writer Robert Avrech on director Brian De Palma —

“Both Brian and I greatly admire Alfred Hitchcock so we were
pretty much on the same page aesthetically. That’s how I came
to write Body Double , a superb thriller that immediately thrust
me into the Hollywood limelight.”

— https://www.opednews.com/populum/page.php?
f=Behind-the-Scenes-with-Hol-by-Joan-Brunwasser-
American-Jews_Hollywood_Interviews_Judaism-Jewish-
131219-897.html

See also Avrech in this  journal —

The De Palma Balcony

Filed under: General — Tags: , , — m759 @ 1:44 AM

The Demolished Man  was a novel that had fascinated De Palma
since the late 1950s and appealed to his background in mathematics
and avant-garde storytelling. Its unconventional unfolding of plot
(exemplified in its mathematical layout of dialogue) and its stress on
perception have analogs in De Palma’s filmmaking.”  — Wikipedia

This, together with the Cuernavaca balcony in Deschooling MIT, is
perhaps enough of a clue for mystified theologians on St. Peter’s Day.

Friday, June 26, 2020

Nihilist Tune for Dixie

Filed under: General — Tags: — m759 @ 6:37 PM

Saturday, June 20, 2020

Password: Snowball

Filed under: General — Tags: — m759 @ 3:55 AM

ID 0571 —

Monday, June 1, 2020

The Gefter Boundary

Filed under: General — Tags: , — m759 @ 5:09 PM

The message was clear: having a finite frame of reference
creates the illusion of a world, but even the reference frame itself
is an illusion. Observers create reality, but observers aren’t real.
There is nothing ontologically distinct about an observer, because
you can always find a frame in which that observer disappears:
the frame of the frame itself, the boundary of the boundary.”

— Amanda Gefter in 2014, quoted here on Mayday 2020.

Image- Josefine Lyche work (with 1986 figures by Cullinane) in a 2009 exhibition in Oslo

See as well the previous post.

A Graveyard Smash: Galois Geometry Meets Nordic Aliens

Filed under: General — Tags: — m759 @ 4:02 PM

See also Vril Chick.

Thursday, May 28, 2020

Unity Game

Filed under: General — Tags: , , — m759 @ 11:59 PM

“Old men ought to be explorers.” — T. S. Eliot

“Everybody’s lost but me!” — Young Indiana Jones, quoted
in a book review (“Knox Peden on Martin Hägglund”) in
Sydney Review of Books  on May 26 . . .

” Here I am reminded of the words of
the young Indiana Jones alone in the desert,
decades before the Last Crusade:
‘Everybody’s lost but me.’ “

 Related remarks — Now You See It, Now You Don’t.

Finite Geometry at GitHub

Filed under: General — Tags: , , — m759 @ 5:04 PM

My website on finite geometry is now available
on GitHub at http://m759.github.io/ . The part
of greatest interest to coders is also at
https://repl.it/@m759/View-4x4x4#index.html .

Wednesday, May 20, 2020

Cue the Violins

Filed under: General — Tags: , — m759 @ 11:36 PM

In memory of a music editor.

Blangsted reportedly died on May 1.
See also that date in this journal, among
other posts tagged The Next Level.

Raiders of the Lost Unity

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

Mathematics as a Black Art

Filed under: General — Tags: , , — m759 @ 11:34 AM

Sunday, May 17, 2020

Gran Torino

Filed under: General — Tags: — m759 @ 3:55 PM

Source citation for an article quoted here last night

Hegel’s Conceptual Group Action —

A check of that source yields the seal of the University of Torino —

Related material —

Saturday, May 16, 2020

Bullshit Studies

Filed under: General — Tags: , — m759 @ 11:59 PM

From https://www.mathunion.org/outreach/logos/versions-all-logos

Click the logo for some IMU history.

Related bullshit —

Hegel’s Conceptual Group Action

Click the banner below for the background of the logo

Thursday, May 7, 2020

Now You See It, Now You Don’t

Filed under: General — Tags: , , — m759 @ 11:00 PM

Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyah, quoted here on April 4, 2016

 

Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.

Kant as Diamond Cutter

Filed under: General — Tags: , — m759 @ 4:26 AM

“He wished Kant were alive. Kant would have appreciated it.
That master diamond cutter.”

— Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance , Part III.

Kant’s  “category theory” —

“In the Transcendental Analytic, Kant deduces the table of twelve categories, or pure concepts of the understanding….

The categories must be ‘schematized’ because their non-empirical origin in pure understanding prevents their having the sort of sensible content that would connect them immediately to the objects of experience; transcendental schemata are mediating representations that are meant to establish the connection between pure concepts and appearances in a rule-governed way. Mathematical concepts are discussed in this context since they are unique in being pure but also sensible concepts: they are pure because they are strictly a priori  in origin, and yet they are sensible since they are constructed in concreto . ”

— Shabel, Lisa, “Kant’s Philosophy of Mathematics”, The Stanford Encyclopedia of Philosophy  (Spring 2016 Edition), Edward N. Zalta (ed.), URL = <https://plato.stanford.edu/archives/spr2016/entries/kant-mathematics/>.

See also The Diamond Theorem and Octad.us.

Wednesday, May 6, 2020

The Ship of Theseus”…

Filed under: General — Tags: , — m759 @ 2:17 PM

is a philosophical conundrum  discussed this morning  in the weblog of
David Justice.

A related statement of this “problem of identity,” from posts
in this  weblog tagged “For Banff 2009” yesterday afternoon

Remarks related to the ship of Theseus

Tuesday, May 5, 2020

In Memoriam: Jan Saxl, Mathematician

Filed under: General — Tags: — m759 @ 1:03 PM

For the conference, see
https://www.birs.ca/events/2009/5-day-workshops/09w5030 .

For the Church of Synchronology:
Time for you to see the field.” (Posts now tagged “For Banff 2009”)

Notes for a Wake

Filed under: General — Tags: — m759 @ 11:52 AM

If Not Sublime

Filed under: General — Tags: — m759 @ 4:24 AM

This is perhaps the same Robert Mezey, poet at Pomona College,
who reportedly died on April 25.

See a Pomona link, the Fano Hallows, from this journal on that date.

Monday, May 4, 2020

Raiders of the Lost Sublime

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

The Man Behind the Counter

Filed under: General — Tags: — m759 @ 7:06 PM

The title is a phrase from the Suzanne Vega song in the previous post.

Always busy counting . . . .” — Tagline at Peter J. Cameron’s weblog.

“This morning brought the news that Jan Saxl died on Saturday.”

Peter J. Cameron today

A search for Saxl in this  weblog yields a post related to a topic in
Wolfram Neutsch’s book Coordinates.  See Saturday’s post
Turyn’s Octad Theorem: The Next Level.”

Related narrative from the Saturday post —

Related narrative from Sunday’s Westworld finale —

The Thing and I …

Filed under: General — Tags: — m759 @ 3:00 PM

Continues.

Update at 4 PM —

“It is always
Nice to see you”
Says the man
Behind the counter

— Suzanne Vega. “Tom’s Diner”

Tom Stall’s diner in  “A History of  Violence” (30 September 2005).

This  journal on 30 September 2005 —

“This place ain’t doing me any good.
I’m in the wrong town,
I should be in Hollywood.”

— Dylan, “Things Have Changed

Sunday, May 3, 2020

Crichton Time

Filed under: General — Tags: , — m759 @ 2:37 PM


Into the Westworld

Filed under: General — Tags: , — m759 @ 2:03 PM

He beomes aware of something else… some other presence.
“Anybody here?” he says.
I am here.
He almost jumps, it is so loud. Or it seems loud. Then he wonders if
he has heard anything at all.
“Did you speak?”
No.
How are we communicating? he wonders.
The way everything communicates with everything else.
Which way is that?
Why do you ask if you already know the answer?

— Sphere   by Michael Crichton, Harvard ’64

Saturday, May 2, 2020

Beat the Clock

Filed under: General — Tags: — m759 @ 12:27 PM

Turyn’s Octad Theorem: The Next Level*

Filed under: General — Tags: — m759 @ 11:24 AM

From  the obituary of a game inventor  who reportedly died
on Monday, February 25, 2013 —

” ‘He was hired because of the game,’ Richard Turyn,
a mathematician who worked at Sylvania, told
the Washington Post in a 2004 feature on Diplomacy.”

* For the theorem, see Wolfram Neutsch,  Coordinates .
(Published by de Gruyter, 1996. See pp. 761-766.)

Having defined (pp. 751-752) the Miracle Octad Generator (MOG)
as a 4×6 array to be used with Conway’s “hexacode,” Neutsch says . . .

“Apart from the three constructions of the Golay codes
discussed at length in this book (lexicographic and via
the MOG or the projective line), there are literally
dozens of alternatives. For lack of space, we have to
restrict our attention to a single example. It has been
discovered by Turyn and can be connected in a very
beautiful way with the Miracle Octad Generator….

To this end, we consider the natural splitting of the MOG into
three disjoint octads L, M, R (‘left’, ‘middle’, and ‘right’ octad)….”

— From page 761

The theorem of Turyn”  is on page 764

Friday, May 1, 2020

The H-State

Filed under: General — Tags: , , , — m759 @ 9:27 PM

Related pure mathematics

The Escape from Plato’s Cave to . . .

See also Numberland and Walpurgisnacht Geometry.

Bullshit Studies

Filed under: General — Tags: , , , — m759 @ 2:55 PM

The following passage is from Amanda Gefter’s  Trespassing
on Einstein’s Lawn  (Bantam Books, 2014).

“You know the story of Plato’s cave?” my father asked. “All the prisoners are chained up in the cave and they can’t see the real world outside, only the shadows on the wall? That’s supposed to be a negative thing, like they’ll never know reality. But the truth is, you have to be stuck inside a limited reference frame for there to be any reality at all! If you weren’t chained to your light cone, you’d see nothing. The H-state.”

I nodded. “You’d have no information. You need the broken symmetry, the shadow, to have information and information gives rise to the world. It from bit.”

I couldn’t help but grin with excitement. The message was clear: having a finite frame of reference creates the illusion of a world, but even the reference frame itself is an illusion. Observers create reality, but observers aren’t real. There is nothing ontologically distinct about an observer, because you can always find a frame in which that observer disappears: the frame of the frame itself, the boundary of the boundary.

“If physicists discover an invariant someday, the game will be up,” my father mused. “That would rule out the hypothesis that the universe is really nothing.”

That was true. But so far, at least, every last invariant had gone the way of space and time, rendered relative and observer-dependent. Spacetime, gravity, electromagnetism, the nuclear forces, mass, energy, momentum, angular momentum, charge, dimensions, particles, fields, the vacuum, strings, the universe, the multiverse, the speed of light— one by one they had been downgraded to illusion. As the surface appearance of reality fell away, only one thing remained. Nothing.

My path to Gefter’s father’s musing led from a quotation attributed,
probably falsely, to John Archibald Wheeler on page 52 of Octavio
Paz’s  Claude Lévi-Strauss: An Introduction  (Cornell, 1970)

There is a point at which

‘something is nothing and nothing is something.’

The quote may actually be by AP writer John Barbour reporting
on a 1967 American Physical Society talk by Wheeler, “The End
of Time.”

Gefter mentions Wheeler 369 times:

See as well Introduction to Quantum Woo.

Sunday, April 26, 2020

The Triangle of Art

Filed under: General — Tags: — m759 @ 12:00 AM

This post was suggested by yesterday morning’s link to  The Fano Hallows.

Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyah, quoted here on April 4, 2016

A symbol related to  The Fano Hallows

Saturday, April 25, 2020

Form and Order

Filed under: General — Tags: — m759 @ 9:48 AM

“Brahms maintained a classical sense of
form and order in his works….” — Wikipedia

For example —

The above Cologne sextet upload date suggests a review.
See posts now tagged The Fano Hallows.

Friday, April 24, 2020

Art at Cologne

Filed under: General — Tags: , — m759 @ 10:53 PM

This post was suggested by a New York Review of Books  article
on Cologne artist Gerhard Richter in the May 14, 2020, issue —

The Master of Unknowing,” by Susan Tallman.

Some less random art —

Sunday, April 19, 2020

Easter Egg for Wittgenstein

Filed under: General — Tags: — m759 @ 1:24 PM

A language game on Orthodox Easter —

See also Geometric Theology and Trinity Staircase.

Friday, April 17, 2020

Under the April Snow…

Filed under: General — Tags: — m759 @ 3:26 PM

Nonsense for Streisand:

Thursday, April 16, 2020

Snow White’s Time in Space

Filed under: General — Tags: , — m759 @ 2:32 PM

Kristen Stewart — 'Freezin' my ass off'

See as well Pi Day 2020.

Tuesday, March 17, 2020

Geometric Theology

Filed under: General — Tags: — m759 @ 12:00 AM

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

Thursday, March 12, 2020

Letter to the World

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

Pace  Emily Dickinson.

Play Date

Filed under: General — Tags: , — m759 @ 7:15 PM

Today's 4:02 AM ET post, "Steinfeld as Rose the Hat,"
suggests a review —

A more impressive woman in white

Update of 8 PM ET —

Beckinsale gives Oct. 5, 2001, as the date of the New York
premiere of the film "Serendipity."  Synchronology check:

Beckinsale's premiere date — Oct. 5, 2001 — is incorrect.
The film was released  on that date, but its New York premiere
was actually on Oct. 3, 2001. See Getty Images.

Sunday, March 8, 2020

A Tool

Filed under: General — Tags: — m759 @ 2:23 PM

Detail: 

Click on the above date for further details.

Sunday, March 1, 2020

Same Staircase, Different Day

Filed under: General — Tags: , , — m759 @ 2:18 PM

Freeman Dyson on his staircase at Trinity College
(University of Cambridge) and on Ludwig Wittgenstein:

“I held him in the highest respect and was delighted
to find him living in a room above mine on the same
staircase. I frequently met him walking up or down
the stairs, but I was too shy to start a conversation.”

Frank Close on Ron Shaw:

“Shaw arrived there in 1949 and moved into room K9,
overlooking Jesus Lane. There is nothing particularly
special about this room other than the coincidence that
its previous occupant was Freeman Dyson.”

— Close, Frank. The Infinity Puzzle  (p. 78).
Basic Books. Kindle Edition.

See also other posts now tagged Trinity Staircase.

Illuminati enthusiasts  may enjoy the following image:

'Ex Fano Apollinis'- Fano plane, eightfold cube, and the two combined.

Sunday, February 23, 2020

The Representation of Reality

Filed under: General — Tags: — m759 @ 1:36 PM

"Although art is fundamentally everywhere and always the same,
nevertheless two main human inclinations, diametrically opposed
to each other, appear in its many and varied expressions. ….
The first aims at representing reality objectively, the second subjectively." 

Mondrian, 1936  [Links added.]

An image search today (click to enlarge) —

Image search for 'Eightfold Cube'

Friday, February 14, 2020

Math Woo

Filed under: General — Tags: — m759 @ 6:45 PM

“Pure mathematics is, in its way, the poetry of logical ideas.
One seeks the most general ideas of operation which will
bring together in simple, logical and unified form the largest
possible circle of formal relationships. In this effort toward
logical beauty spiritual formulas are discovered necessary
for the deeper penetration into the laws of nature.”

— Albert Einstein, May 1, 1935, obituary for Emmy Noether
(Quoted in part, without source, in Quanta Magazine  yesterday.)

Thursday, February 13, 2020

Zero Sum

Filed under: General — Tags: , , — m759 @ 1:05 PM

The novel Zero Sum Game  by S. L. Huang is reviewed in the
March 2020 Notices of the American Mathematical Society .

For the same novel in this  journal, see posts tagged Berlekamp’s Game.

Wednesday, February 12, 2020

The Reality Bond

Filed under: General — Tags: , — m759 @ 3:33 PM

The plane at left is modeled naturally by
seven types of “cuts” in the cube at right.

Structure of the eightfold cube

 

Thursday, January 30, 2020

Poster Boy

Filed under: General — Tags: — m759 @ 7:00 PM

Cover of 'The Institute,' a novel by Stephen King
                                                          Cover Design: Will Staehle / Unusual Co.

This post is in memory of "Wes Wilson, Psychedelic Poster Pioneer,"
who died at 82 on January 24, according to the NY Times  today. 
Related material — This  journal on January 24.

Friday, January 24, 2020

Lucido Dreaming

Filed under: General — Tags: , , — m759 @ 12:51 PM

Anthony Powell's 'O, How the Wheel Becomes It!' along with Laertes' comment 'This nothing's more than matter.'

(From "Today's Sermon," Jan. 24, 2010.)

Friday, January 17, 2020

September Morn

Filed under: General — Tags: — m759 @ 10:17 PM

Epigraph from Ch. 4 of Design Theory , Vol. I:

"Es is eine alte Geschichte,
 doch bleibt sie immer neu 
"
 —Heine (Lyrisches Intermezzo  XXXIX)

This epigraph was quoted here earlier on
the morning of September 1, 2011.

Design Theory

Filed under: General — Tags: , — m759 @ 12:57 PM

On a recently deceased professor emeritus of architecture
at Princeton —

"… Maxwell  'established the school as a principal
center of design research, history and theory.' ”

"This is not the Maxwell you're looking for."

Friday, January 10, 2020

The Lotos Rose

Filed under: General — Tags: , , — m759 @ 12:01 AM

See the title in this journal.

Thursday, January 9, 2020

Universal History (Adapted)

Filed under: General — Tags: , , — m759 @ 11:05 PM

"One of the more fortuitous encounters of late-20th-century popular culture —
almost up there with Lennon meets McCartney and Taylor meets Burton —
took place on Labor Day 1965, at Jane Fonda’s Malibu beach house. The
actress was hosting a daylong bash at which her father, Henry’s,
generation mingled uneasily with her Hollywood hippie friends. The Byrds
played in the backyard. A young comedian-turned-film director named Mike
Nichols was approached by an improv comic-turned-itinerant writer named
Buck Henry, who asked how he was doing. Nichols dourly looked around
at all the proto-Summer of Love vibes and said, 'Here, under the shadow
of the great tree, I have found peace.'

Henry immediately recognized a sardonic East Coast kindred spirit trapped
in Lotusland . . . ."

—  Ty Burr,  Boston Globe  staff, January 9, 2020, 10:34 AM

Adapt or Die

Filed under: General — Tags: , , — m759 @ 11:53 AM

For Hollywood

Maybe.

For Emily Yahr (see second item above) —

Buck Henry reportedly died yesterday, January 8, 2020.
This journal on that date a year earlier —

Sunday, December 29, 2019

Springer Link

Filed under: General — Tags: , , — m759 @ 5:08 PM

Related reading

"I closed my eyes and saw the number 137—
so very close to the reciprocal of alpha—
on the chest of the runner in Van Cortlandt Park.
Should I start the story there? "

— Alpert, Mark.  Saint Joan of New York
(Science and Fiction) (p. 103).
Springer International Publishing. Kindle edition. 

Cover detail:

See as well St. Joan in this  journal.

Friday, December 27, 2019

The Secret Life of Mark Alpert

Filed under: General — Tags: — m759 @ 9:45 AM

Booklist on Final Theory :

"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."

Booklist on The Omega Theory

"Alpert’s follow-up to his acclaimed first novel, Final Theory  (2008),
continues the adventures of science historian David Swift."

See as well this  journal on June 1, 2008.

God in the Object…

Filed under: General — Tags: — m759 @ 7:55 AM

. . . Pace  Wallace Stevens.

"The history of the universe can thus be seen as
an endless chain of changes, but Aquinas argued
that there must be some transcendent entity that
initiated the chain, something that is itself
unchanging and that already possesses all of the
properties that worldly objects can come to possess.
He also claimed that this entity must be eternal;
because it is the root of all causes, nothing else
could’ve caused it. And unlike all worldly objects,
the transcendent entity is necessary—it must  exist."

— Mark Alpert in Scientific American, 12/23/2019

Friday, December 13, 2019

High-Level Language

Filed under: General — Tags: — m759 @ 5:14 PM

Wednesday, December 11, 2019

Klein Quadric

Filed under: General — Tags: , — m759 @ 1:06 AM

The architecture of the recent post 
Geometry of 6 and 8 is in part
a reference to the Klein quadric.

Tuesday, December 10, 2019

Eternal Color

Filed under: General — Tags: , , — m759 @ 7:34 PM

For the above title, see posts tagged Eternal Color.

From this evening's online New York Times

Related imaterial —

A scene from the film of the above book —

Sunday, December 8, 2019

Geometry of 6 and 8

Filed under: General — Tags: , , — m759 @ 4:03 AM

Just as
the finite space PG(3,2) is
the geometry of the 6-set, so is
the finite space PG(5,2)
the geometry of the 8-set.*

Selah.

* Consider, for the 6-set, the 32
(16, modulo complementation)
0-, 2-, 4-, and 6-subsets,
and, for the 8-set, the 128
(64, modulo complementation)
0-, 2-, 4-, 6-, and 8-subsets.

Update of 11:02 AM ET the same day:

See also Eightfold Geometry, a note from 2010.

Thursday, December 5, 2019

The Fontana Arches

Filed under: General — Tags: — m759 @ 4:17 PM

(For Harlan Kane)

See also earlier posts tagged The Fontana Arches.

Wednesday, December 4, 2019

Spielerei

Filed under: General — Tags: , , — m759 @ 7:18 PM

(See the title in this journal.)

Also on the above YouTube date — July 12, 2010 —

 

In Memoriam

Filed under: General — Tags: , , — m759 @ 12:35 PM

Also on the above date — October 28, 2013 —

Nicht Spielerei

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

(See the title in earlier posts.)

Monday, December 2, 2019

“Show me all  the blueprints.”

Filed under: General — Tags: , — m759 @ 11:32 PM

Aesthetics at Harvard

Filed under: General — Tags: , , , — m759 @ 4:05 PM

"What the piece of art is about is the gray space in the middle."

— David Bowie, as quoted in the above Crimson  piece.

Bowie's "gray space" is the space between the art and the beholder.

I prefer the gray space in the following figure —

Some small Galois spaces (the Cullinane models)

Context:  The Trinity Stone  (Log24, June 4, 2018).

Gray Space

Filed under: General — Tags: , — m759 @ 3:00 PM

See as well a search for Gray Space in this journal.

Related material:  The Schwartz Omega .

“Looking carefully at Golay’s code
  is like staring into the sun.”

— Richard Evan Schwartz

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