Log24

Thursday, July 28, 2016

A Mad Day’s Work

Filed under: Uncategorized — m759 @ 4:00 PM

Yesterday was the dies natalis , in the Catholic sense,
of the great cartoonist Jack Davis.

From an obituary

From this journal yesterday afternoon and morning

The Giglmayr Foldings

Filed under: Uncategorized — m759 @ 1:44 PM

Giglmayr's transformations (a), (c), and (e) convert
his starting pattern

  1    2   5   6
  3    4   7   8
  9  10 13 14
11  12 15 16

to three length-16 sequences. Putting these resulting
sequences back into the 4×4 array in normal reading
order, we have

  1    2    3    4        1   2   4   3          1    4   2   3
  5    6    7    8        5   6   8   7          7    6   8   5 
  9  10  11  12      13 14 16 15       15 14 16 13
13  14  15  16       9  10 12 11        9  12 10 11

         (a)                         (c)                      (e)

Four length-16 basis vectors for a Galois 4-space consisting
of the origin and 15 weight-8 vectors over GF(2):

0 0 0 0       0 0 0 0       0 0 1 1       0 1 0 1
0 0 0 0       1 1 1 1       0 0 1 1       0 1 0 1 
1 1 1 1       0 0 0 0       0 0 1 1       0 1 0 1
1 1 1 1       1 1 1 1       0 0 1 1       0 1 0 1 .

(See "Finite Relativity" at finitegeometry.org/sc.)

The actions of Giglmayr's transformations on the above
four basis vectors indicate the transformations are part of
the affine group (of order 322,560) on the affine space
corresponding to the above vector space.

For a description of such transformations as "foldings,"
see a search for Zarin + Folded in this journal.

Wednesday, July 27, 2016

The Bialystock* Memorandum

Filed under: Uncategorized — m759 @ 4:00 PM

"By the time Forrest Mars Jr. retired from active management
in 1999, it was an $18 billion-a-year company selling Snickers,
Uncle Ben’s Rice and Pedigree pet food."

NY Times  obituary by Sam Roberts for a business figure who
     reportedly died yesterday (Uncle Ben's link added)

This, in light of the previous post, suggests a different passage
from yesterday's online New York Times  —

Church in Bialystok

* Spelling in honor of Max  Bialystock —

All About Eve

Filed under: Uncategorized — m759 @ 3:33 PM

See …

Click image to use links. The backstory link —

Christmas Eve, 2012.

Related material:

Deathly Hallows

Filed under: Uncategorized — m759 @ 7:00 AM

The previous post, on the July 13 death of computer scientist Robert Fano,
suggests a review of "Deathly Hallows" posts in this journal. From that review —

Mathematics

http://www.log24.com/log/pix11A/110505-WikipediaFanoPlane.jpg

The Fano plane block design

Magic

http://www.log24.com/log/pix11A/110505-DeathlyHallows.jpg

The Deathly Hallows symbol—
Two blocks short of  a design.

For further information, click the image below —

 .

Tuesday, July 26, 2016

In Nomine Patris

Filed under: Uncategorized — m759 @ 9:48 PM

"Robert Fano, an electrical engineer who was instrumental
in creating a world of instantly responsive computers, died
on July 13 in Naples, Fla. He was 98."

John Markoff in this evening's online New York Times

Wikipedia on Robert Fano

"Fano's father was the mathematician Gino Fano . . . .

A mnemonic I associate with the Fano plane — "Seven is Heaven . . . .

Log24 on the date of Robert Fano's death —

Installation: Area 51 Meets Apollo

Filed under: Uncategorized — m759 @ 6:45 PM

Ben Lerner on Judd's art at Marfa

"as if the installation were waiting to be visited
 by an alien or god" — 10:04: A Novel

Oslo artist Josefine Lyche's public Instagram today

See also Space (May 13, 2015).

Den Kopf

Filed under: Uncategorized — m759 @ 11:00 AM

"Den Kopf benutzen ist besser als ihn verlieren."

The Day of the Locus

Filed under: Uncategorized — m759 @ 9:48 AM

From A. Trehub's remarks on the "space-like retinoid system"
mentioned by Bernd Schmeikal in his masterpiece of bullshit,
"Four Forms Make a Universe" —

The Self Locus 

Trehub - 'Self as the neuronal origin of retinoid space'

For a different grounding of the self, see the previous post.

Pinpoint

Filed under: Uncategorized — m759 @ 9:00 AM

"Pinpoint high note"

Phrase by Margalit Fox in yesterday
    morning's online NY Times

For a pinpoint low note, see

The Voice

Filed under: Uncategorized — m759 @ 7:00 AM

Monday, July 25, 2016

The Retinoid Self

Filed under: Uncategorized — m759 @ 1:10 PM

Trehub - 'Self as the neuronal origin of retinoid space'

"… which grounds the self" . . .

Popular Mechanics  online today

"Verizon exec Marni Walden seemed to
indicate Mayer's future may still be up in the air."

See also 5×5 in this  journal —

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

"If you have built castles in the air, 
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau

Viennese Thought Continues

Filed under: Uncategorized — m759 @ 12:00 PM

"Now vee may perhaps to begin. Yes?" — Philip Roth

'The Whole Universal Spook' at University of Vienna

 

She Thrusts Her Fists Against the Posts …

Filed under: Uncategorized — m759 @ 11:38 AM

Tabs: Log24 posts and 'Yahoo Gives Up the Ghost'

Popular Mechanics  today

"Per the New York Times , embattled CEO Marissa Mayer
will not be joining the company, but is expected to receive
a $40 million severance package—as always, it pays to be
the boss. But Mayer said in a Tumblr post that she planned
to stay on
—while Verizon exec Marni Walden seemed to
indicate Meyer's future may still be up in the air."
— 

Who You Gonna Call?

Filed under: Uncategorized — m759 @ 5:00 AM

Sunday, July 24, 2016

LA Stories

Filed under: Uncategorized — m759 @ 9:05 AM

The contents page in the previous post is from a novel
by a Los Angeles screenwriter, Robert J. Avrech.

Avrech's story —

LA stories I prefer —

In the Details

Filed under: Uncategorized — m759 @ 3:17 AM

The previous post mentioned the late film publicist David Horowitz.

This  post is more in the spirit of a different  David Horowitz.

From a digital copy of The Hebrew Kid and the Apache Maiden  —

Detail from lower right — the date 9/29/04 —

See also Log24 on that date (Michaelmas 2004).

Late Show

Filed under: Uncategorized — m759 @ 1:44 AM

"Sometime in the wee hours Linda wakes me up
after a troubled sleep and she said, ‘Look, he’s
got to go on the Carson show to make this right.’"

— The late David Horowitz,
    according to an obituary

A different Carson show —

Horowitz reportedly died on Sunday, July 17, 2016.

Point Omega …

Filed under: Uncategorized — m759 @ 1:00 AM

Continues .

In this post, "Omega" denotes a generic 4-element set.

For instance Cullinane's 

Logo for 'Elements of Finite Geometry'

or Schmeikal's 

 .

The mathematics appropriate for describing
group actions on such a set is not Schmeikal's
Clifford algebra, but rather Galois's finite fields.

Saturday, July 23, 2016

Annals of Viennese Thought

Filed under: Uncategorized — m759 @ 3:17 PM

http://www.log24.com/log/pix11A/110617-UniversitatWienSeal.jpg

From a University of Vienna researcher
quoted in yesterday's 11 AM ET post

'The Whole Universal Spook' at University of Vienna

For further University of Vienna meditations, see Fitch.

But Seriously …

Filed under: Uncategorized — m759 @ 1:20 AM

Those who want a serious  approach to the mathematics
of Clifford algebras — via finite geometry, the natural setting
of the four group  of the previous post — should consult

"Finite Geometry, Dirac Groups and the Table of
Real Clifford Algebras
," by Ron Shaw (1995).

Friday, July 22, 2016

The Four-Group Manifesto

Filed under: Uncategorized — m759 @ 11:00 AM

'Four Forms Make a Universe,' by Bernd Schmeikal, April 2015

"The four base units commute and satisfy
the multiplication table of the Klein 4 group."

— Bernd Schmeikal, article accepted
    for publication on 11 April 2015

See also Log24 on 11 April 2015 (Orthodox Holy Saturday).

Coterie (for Philip Rieff)

Filed under: Uncategorized — m759 @ 4:44 AM

An image from Log24 on Sunday

An image from Log24 on Monday

A death on Monday

Thursday, July 21, 2016

A Mad Day’s Preprint*

Filed under: Uncategorized — m759 @ 2:02 PM

Pierre Cartier, 'How to take advantage of the blur between the finite and the infinite,' preprint of May 3,2011

See also, from that same day, "24-Part Invention."

* The title is a reference to a 2001 article by Cartier on
   "the evolution of concepts of space and symmetry" —

Image Search

Filed under: Uncategorized — m759 @ 12:00 PM

Click to enlarge.

See also the word  "contrapuntal" in this journal. 

Memorial

Filed under: Uncategorized — m759 @ 5:31 AM

Part I

From this journal in September 2012

Part II

See "The Shining (Norwegian Version)" from December 2011.

Wednesday, July 20, 2016

Weather for Jews

Filed under: Uncategorized — m759 @ 5:00 AM

Somewhere Over the Rainbow

"What I'm aiming for are moments of strong sensation —
moments of total physical experience of the landscape,
when weather just reaches out and sucks you in."

The late Jane Wilson —

See also the previous post and, from the date of Wilson's death,

Geometry for Jews (Continued) —

Willkommen: A Review

Filed under: Uncategorized — m759 @ 4:13 AM

Epigraphs for Ben Carson

Filed under: Uncategorized — m759 @ 3:35 AM

Tuesday, July 19, 2016

Outside the Box

Filed under: Uncategorized — m759 @ 12:00 PM

For further details, click the box.

Interior, Exterior

Filed under: Uncategorized — m759 @ 10:30 AM

The post Outer, Inner of July 16, 2016, contained the following
illustration of a quote from "An Ordinary Evening in New Haven" —

An image from yesterday morning pictured a link to the
Feb. 10, 2014, post Mystery Box III: Inside, Outside.

That post, shown below, offers a deeper interpretation of the
Stevens quote "an interior made exterior."

(Click image below to use the post's links.)

Shared Values

Filed under: Uncategorized — m759 @ 3:05 AM

From this morning's online New York Times

Ms. Trump, Monday night:

“From a young age, my parents impressed on me the values that you work hard for what you want in life, that your word is your bond and you do what you say and keep your promise, that you treat people with respect. They taught and showed me values and morals in their daily lives. That is a lesson that I continue to pass along to our son. And we need to pass those lessons on to the many generations to follow. Because we want our children in this nation to know that the only limit to your achievements is the strength of your dreams and your willingness to work for them.”

Mrs. Obama, in her 2008 speech:

“Barack and I were raised with so many of the same values: that you work hard for what you want in life; that your word is your bond and you do what you say you’re going to do; that you treat people with dignity and respect, even if you don’t know them, and even if you don’t agree with them. And Barack and I set out to build lives guided by these values, and pass them on to the next generationBecause we want our children — and all children in this nation — to know that the only limit to the height of your achievements is the reach of your dreams and your willingness to work for them.”

Red for Republican,
Blue for Democrat

the values that you work hard for
what you want in life

same values: that you work hard for
what you want in life

that your word is your bond
that your word is your bond

and you do what you say 
and you do what you say 

that you treat people with respect
that you treat people with dignity and respect

pass those lessons on 
to the many generations to follow

pass them on 
to the next generation

Because we want our children
in this nation

Because we want our children —
and all children in this nation

to know that the only limit
to your achievements

to know that the only limit
to 
the height of your achievements

is the strength of your dreams
is the reach of your dreams

and your willingness to work for them.
and your willingness to work for them.
 

Thanks for sharing.

Monday, July 18, 2016

Who You Gonna Call?

Filed under: Uncategorized — m759 @ 11:29 AM

Ghostwriters!

(This post was suggested by a New Yorker  piece online
today about Donald Trump's ghostwriter Tony Schwartz.)

The "ghost writer" link above leads to …

Raiders of the Lost Art

Filed under: Uncategorized — m759 @ 2:25 AM

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

 

ART WARS: Magic Circles

Filed under: Uncategorized — m759 @ 2:01 AM

An artist mentioned in  a NY Times  obituary  this morning —

(Click for the source.)

I prefer some not-so-magic circles —

Primitive roots modulo 17 and a related figure

Click for related posts tagged root circle.

Sunday, July 17, 2016

Portal

Filed under: Uncategorized — m759 @ 5:00 PM

For the late Boruch Alan Bermowitz  (June 23, 1938 – July 16, 2016).

From this journal at 11 pm ET yesterday, the day Bermowitz died —

Where Entertainment Is God

Filed under: Uncategorized — m759 @ 3:00 PM

Continues. Click to enlarge.

Sunday School

Filed under: Uncategorized — m759 @ 9:00 AM

See http://m759.net/wordpress/?s=Correspondances+Baudelaire.

Symmetries and Correspondences

Filed under: Uncategorized — m759 @ 8:19 AM

Continued from  July 14, 2016


 

Symmetries and Correspondences in 1879 —

Cyparissos Stephanos
Sur les systèmes desmiques de trois tétraèdres
Bulletin des sciences mathématiques
et astronomiques 2e série
,
Tome 3, No. 1 (1879), pp. 424-456.
<http://www.numdam.org/item?id=BSMA_1879_2_3_1_424_1>
© Gauthier-Villars, 1879, tous droits réservés.


 

Symmetries and Correspondences in 1905 —

Saturday, July 16, 2016

Outer, Inner

Filed under: Uncategorized — m759 @ 11:00 PM

A detail from this morning's 6 AM post

An Ordinary Evening in New Haven, XXII

Professor Eucalyptus said, “The search
For reality is as momentous as
The search for god.” It is the philosopher’s search

For an interior made exterior
And the poet’s search for the same exterior made
Interior: breathless things broodingly abreath

With the Inhalations of original cold
And of original earliness. Yet the sense
Of cold and earliness is a daily sense,

Not the predicate of bright origin.
Creation is not renewed by images
Of lone wanderers. To re-create, to use

The cold and earliness and bright origin
Is to search. Likewise to say of the evening star,
The most ancient light in the most ancient sky,

That it is wholly an inner light, that it shines
From the sleepy bosom of the real, re-creates,
Searches a possible for its possibleness.

— Wallace Stevens

See also Bloomsday 2007, "Obituaries in the News."

This morning's 6 AM post linked to a more recent obituary in the news

"… while Jules and Judy were still living in Brooklyn Heights … 
Jules collaborated with his former roommate, Norton Juster,
by illustrating what was to become the children’s classic
The Phantom Tollbooth . Neither author or illustrator had
a clue as to how to get this unlikely work published, and it
was Judy’s idea to take it to a mutual friend . . . ."

The Midnight Beginning

Filed under: Uncategorized — Tags: — m759 @ 6:00 AM

From the midnight beginning  June 27, 2016 —

This review of the above post was suggested by the
Galois-related footnote in the previous post and by
an obituary in this morning's online New York Times .
See as well a July 6 obituary for the same person in
The Martha's Vineyard Times .

Binary Shema: The “O” and the “I”

Filed under: Uncategorized — Tags: — m759 @ 4:35 AM

The "I" of "I Am that I Am" has been described as a creation of
an "ur-unity" (see the Anderson passage below) and this ur-unity,
denoted by "O," has been described elsewhere as "a primary reality"
(see the Sullivan passage below). These descriptions are of course 
much less clear than those usually given for the similar purely
mathematical *  notations "0" and "1."

See also Quine's Shema  in "Is Nothing Sacred?" —

0! = 1.

Quoted here on July 30, 2015

Kabbalah and Finnegans Wake

Linked to here on June 29, 2016

Bion and the 'O'

*  Note for mathematicians: Here characteristic 0 is assumed .
    Quine's Shema does not apply to Galois.

Friday, July 15, 2016

Million-Dollar Baby

Filed under: Uncategorized — m759 @ 9:00 PM

Ms. Beauman's second husband was Shakespearean actor
Alan Howard, who reportedly died on Valentine's Day 2015.

Beauman herself reportedly died on July 7, 2016.

See, from that date, posts now tagged "The Nothing That Is."

For some remarks related, if only theatrically, to Ms. Beauman's lucrative 
novel Destiny  and to Mr. Howard, see posts tagged "One Ring."

A Sign That You May Have Taken The Red Pill

Filed under: Uncategorized — m759 @ 12:00 PM

For the Church of Synchronology

A post from the upload date of the above Log Lady video:

Autistic Enchantment*

Filed under: Uncategorized — m759 @ 10:29 AM

Robert Nye, author of the novel Falstaffreportedly died
at 77 on July 2, 2016.

Harvey D. Heinz, expert on magic squares, cubes,
tesseracts, etc., reportedly died at 82 on July 6, 2013.

In memoriam —

From the date of Nye's death:

From Nye's book:

From the date of Heinz's death:

* See also a search for the title in this journal.

Thursday, July 14, 2016

Symmetries and Correspondences

Filed under: Uncategorized — m759 @ 7:30 PM

The title is that of a large-scale British research project
in mathematics. On a more modest scale

"Hanks + Cube" in this journal —

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

Block That Metaphor

For Spider Woman

Filed under: Uncategorized — m759 @ 11:19 AM

Film Director Hector Babenco Dies in Brazil

By THE ASSOCIATED PRESS
JULY 14, 2016, 10:39 A.M. E.D.T.

SAO PAULO — The Argentine-born Brazilian director
nominated for an Oscar for his 1985 film "Kiss of the
Spider Woman" has died. Hector Babenco was 70.

Denise Winther of Babenco's HB Films says the director
died Wednesday night of a heart attack at Sao Paulo's
Sirio-Libanes Hospital.

See also "Only Connect" and "Tombstones in Her Eyes."

Bono and Taymor at 'Spider-Man'

Click image for a related post.

Meditation from an April 1

Filed under: Uncategorized — m759 @ 9:38 AM

Related material from the same day —

See also

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

The above bricks appeared in some earlier Log24 posts.

Midnight Special

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

(Continued)

"Poincaré said that science is no more a collection of facts than a house is a collection of bricks. The facts have to be ordered or structured, they have to fit a theory, a construct (often mathematical) in the human mind.

… 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.

In attempting to bridge this divide I have always found that architecture is the best of the arts to compare with mathematics. The analogy between the two subjects is not hard to describe and enables abstract ideas to be exemplified by bricks and mortar, in the spirit of the Poincaré quotation I used earlier."

— Sir Michael Atiyah, "The Art of Mathematics"
     in the AMS Notices , January 2010

A post  from this  journal later in 2010 —

The above post's date — May 20, 2010 — was
the date of death for mathematician Walter Rudin.

The above post from that date has a link to the
Heinlein story "And He Built a Crooked House."
A not-so-crooked house —

Wednesday, July 13, 2016

Luminosity

Filed under: Uncategorized — Tags: — m759 @ 10:00 PM
 

"At CERN the LHC has reached design luminosity,
and is breaking records with a fast pace of new
collisions. This may have something to do with the
report that the LHC is also about to tear open
a portal to another dimension
."

— Peter Woit, Thursday, June 30, 2016,
    at 1:01 PM ET 

Another sort of design luminosity —

IMAGE- Massimo Vignelli, his wife Lella, and cube

Claves

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

For one meaning of the title, see The Faustian Merry-Go-Round.

Look Busters

Filed under: Uncategorized — Tags: — m759 @ 8:48 PM

See a search in this journal for "Look, Buster."

Fritz Leiber's 'Spider' symbol

Block That Metaphor

Filed under: Uncategorized — Tags: — m759 @ 8:38 PM

Happy dies natalis  to the late Frida Kahlo.

Art Wars

Filed under: Uncategorized — Tags: — m759 @ 10:45 AM

Wil S. Hylton today in the online New York Times

"It seems to me now, with greater reflection,
that the value of experiencing another person’s art
is not merely the work itself, but the opportunity
it presents to connect with the interior impulse of another.
The arts occupy a vanishing space in modern life:
They offer one of the last lingering places to seek out
empathy for its own sake, and to the extent that
an artist’s work is frustrating or difficult or awful,
you could say this allows greater opportunity to try to
meet it. I am not saying there is no room for discriminating 
taste and judgment, just that there is also, I think,
this other portal through which to experience creative work
and to access a different kind of beauty, which might be
called communion."

Or damnation.

Always Nice to See You

Filed under: Uncategorized — Tags: — m759 @ 9:00 AM

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

— Suzanne Vega. "Tom's Diner"

Tuesday, July 12, 2016

Klein and Kummer Configurations in 1889

Filed under: Uncategorized — m759 @ 11:00 PM

Further details from Edmund Hess in 1889* related to
last night's remarks on the Klein 6015 configuration 
and the Kummer 166 configuration —

* Edmund Hess, "Beiträge zur Theorie der räumlichen Configurationen.
Ueber die Klein'sche Configuration Cf. (60₁₅, 30₆) und einige
bemerkenswerthe aus dieser ableitbare räumliche Configurationen."

Verhandlungen der Kaiserlichen Leopoldinisch-Carolinischen 
Deutschen Akademie der Naturforscher
, Vol.55, No. 2
, pp. 98-167

Hymn

Filed under: Uncategorized — m759 @ 11:29 AM

Yesterday was reportedly the dies natalis  (in the Catholic sense)
of a former president of New York University.

From the conclusion of The Chronicles of Narnia

"The term is over:  the holidays have begun. 
The dream is ended:  this is the morning."

Linda Hamilton's related hymn in the 1984 film "Children of the Corn" —

https://www.youtube.com/watch?v=rpHeTcisyRo .

Group Elements and Skew Lines

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

The following passage by Igor Dolgachev (Good Friday, 2003
seems somewhat relevant (via its connection to Kummer's 166 )
to previous remarks here on Dirac matrices and geometry

Note related remarks from E. M. Bruins in 1959 —

First page of 'Configurations in Quantum Mechanics,' by E.M. Bruins, 1959

Monday, July 11, 2016

Another Manic Monday

Filed under: Uncategorized — m759 @ 9:00 AM

To Stephen King

From the Crimson King

See as well "Dark Fields" in this  journal

Signs Movie Stills: Mel Gibson, Joaquin Phoenix, Patricia Kalember, M. Night Shyamalan

Sunday, July 10, 2016

Confession of a Heretic

Filed under: Uncategorized — m759 @ 9:57 PM

"At St. Patrick’s Cathedral in New York, Cardinal Timothy M. Dolan
spoke of a country 'worried, frustrated and fatigued over senseless
violence.'  'From Minnesota to Louisiana and Texas, one nation
under God examines its soul,' he said."

— Richard Fausset, Campbell Robertson, and
Nikole Hannah-Jones in this evening's online  New York Times

Nations, of course, do not  have souls. See May 6, 2015.

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