Log24

Friday, May 31, 2019

Bulk Apperception

Filed under: General,Geometry — Tags: , — m759 @ 10:38 pm

(Continued)

De Niro’s Gallerist

Filed under: General — Tags: — m759 @ 2:16 pm

A phrase from Wikipedia

"De Niro's gallerist, Virginia Zabriskie."

Zabriskie reportedly died on May 7.

In memoriam — Jar Story.

Working Sketch of Aitchison’s Mathieu Cuboctahedron

Filed under: General — Tags: , , — m759 @ 5:33 am

Cuboctahedron with its 24 edges labeled by the 24 permutations of a 4-set. By Cullinane on 5/31/19.

The above sketch indicates one way to apply the elements of S4
to the Aitchison cuboctahedron . It is a rough sketch illustrating a
correspondence between four edge-hexagons and four label-sets.
The labeling is not as neat as that of a permutahedron  by S4
shown below, but can perhaps be improved.

Permutahedron labeled by S4 .

 

Update of 9 PM EDT June 1, 2019 —

. . . And then of course  there is the obvious  labeling derived from 
the above permutahedron —

 
[addtoany]
 

Thursday, May 30, 2019

Dabbling

Filed under: General — Tags: — m759 @ 8:02 pm

Jeff Nichols, director of Midnight Special  (2016) —

"When asked about the film's similarities to the 2015 Disney
movie Tomorrowland , which also posits a futuristic world
that exists in an alternative dimension, Nichols sighed.
'I was a little bummed, I guess,' he said of when he first
learned about the project. . . . 'Our die was cast.
Sometimes this kind of collective unconscious that
we're all dabbling in, sometimes you're not the first one
out of the gate.' "

See also Jung's four-diamond figure and the previous post.

Stiff

Filed under: General — m759 @ 7:05 pm

"The stiffest material around is diamond.
The strength and lightness of a material
depends on the number and strength of
the bonds that hold its atoms together,
and on the lightness of the atoms.
The element that best fits both criteria
is carbon, which is lightweight and forms
stronger bonds than any other atom.
The carbon-carbon bond is especially
strong; each carbon atom can bond to
four neighboring atoms. In diamond,
then, a dense network of strong bonds
creates a strong, light, and stiff material.
Indeed, just as we named the Stone Age,
the Bronze Age, and the Steel Age after
the materials that humans could make,
we might call the new technological epoch
we are entering the Diamond Age."
[Link added.]

— "It's a Small, Small, Small, Small World,"
by Ralph C. Merkle, 
MIT Technology Review , Feb./Mar. 1997

Tuesday, May 28, 2019

Hogwash for Brattlefilm

Filed under: General — Tags: — m759 @ 10:54 pm

Related material — Khurana in this journal and
in The Harvard Crimson .

“Simplification in Its Purest Form”

Filed under: General — Tags: — m759 @ 10:08 pm

For students of the Hogwash School of Witchcraft and Wizardry —

"Elementary particles are the most fundamental
building blocks of nature, and their study
would seem to be an expression of simplification
in its purest form." 

— Sean Carroll in The New York Times  today 
in an opinion piece titled "The Physicist Who
Made Sense of the Universe"

Related remarks:  See a Log24 search for "Simpli".

The Khurana Embarrassment

Filed under: General — Tags: — m759 @ 12:36 pm

(A title for Harlan Kane)

Quaternion at Candlebrow

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

From a Groundhog Day post in 2009 —

The Candlebrow Conference
in Pynchon's Against the Day:

The conferees had gathered here from all around the world…. Their spirits all one way or another invested in, invested by, the siegecraft of Time and its mysteries.

"Fact is, our system of so-called linear time is based on a circular or, if you like, periodic phenomenon– the earth's own spin. Everything spins, up to and including, probably, the whole universe. So we can look to the prairie, the darkening sky, the birthing of a funnel-cloud to see in its vortex the fundamental structure of everything–"

Quaternion in finite geometry
Quaternion  by  S. H. Cullinane

"Um, Professor–"….

… Those in attendance, some at quite high speed, had begun to disperse, the briefest of glances at the sky sufficing to explain why. As if the professor had lectured it into being, there now swung from the swollen and light-pulsing clouds to the west a classic prairie "twister"….

… In the storm cellar, over semiliquid coffee and farmhouse crullers left from the last twister, they got back to the topic of periodic functions….

"Eternal Return, just to begin with. If we may construct such functions in the abstract, then so must it be possible to construct more secular, more physical expressions."

"Build a time machine."

"Not the way I would have put it, but if you like, fine."

Vectorists and Quaternionists in attendance reminded everybody of the function they had recently worked up….

"We thus enter the whirlwind. It becomes the very essence of a refashioned life, providing the axes to which everything will be referred. Time no long 'passes,' with a linear velocity, but 'returns,' with an angular one…. We are returned to ourselves eternally, or, if you like, timelessly."

"Born again!" exclaimed a Christer in the gathering, as if suddenly enlightened.

Above, the devastation had begun.

"As if the professor had lectured it into being . . . ."

See other posts now tagged McLuhan Time.

Monday, May 27, 2019

But Seriously . . .

Filed under: General — Tags: , , — m759 @ 9:32 pm

McLuhan on Analogy.

I prefer the simple "four dots" figure
of the double colon:

For those who prefer stranger analogies . . .

Actors from "The Eiger Sanction" —

Doctor Strange on Mount Everest —

Dr. Strange at beyondtheopposites.com on 2016/12/02

See as well this  journal on the above Strange date, 2016/12/02,
in posts tagged Lumber Room.

Misery Emissary: A Thurston Memorial

Filed under: General — Tags: — m759 @ 1:19 pm

The Broom Bridge Eight

Filed under: General — m759 @ 12:12 pm

"In this way the eight quaternions came into being."

— Legend adapted from Richard Wilhelm.

See as well The Bond with Reality (20th of May, 2019).

Sunday, May 26, 2019

Nine-Dot Patterns

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

Some nine-dot patterns of greater interest:

IMAGE- Actions of the unit quaternions in finite geometry, on a ninefold square and on an eightfold cube

Sunday Shul: Connecting the Dots

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

"It's very easy to say, 'Well, Jeff couldn't quite connect these dots,'"
director Jeff Nichols told BuzzFeed News. "Well, I wasn't actually
looking at the dots you were looking at."

— Posted on March 21, 2016, at 1:11 p.m,
Adam B. Vary, BuzzFeed News Reporter

"Magical arrays of numbers have been the talismans of mathematicians and mystics since the time of Pythagoras in the sixth century B.C. And in the 16th century, Rabbi Isaac ben Solomon Luria devised a cosmological world view that seems to have prefigured superstring theory, at least superficially. Rabbi Luria was a sage of the Jewish cabalist movement — a school of mystics that drew inspiration from the arcane oral tradition of the Torah.

According to Rabbi Luria's cosmology, the soul and inner life of the hidden God were expressed by 10 primordial numbers [sic ], known as the sefirot. [Link added.]"

— "Things Are Stranger Than We Can Imagine,"
by Malcolm W. BrowneNew York Times Book Review ,
Sunday, March 20, 1994

Burning Bright

Gell-Mann's 'eightfold way' as 'a mosaic of simple triangular building blocks' — George Johnson, 1999

Compare and contrast with . . .

The Brightburn Logo:

Related material from the May 12 post

"The Collective Unconscious
in a Cartoon Graveyard
" —

"When they all finally reach their destination —
a deserted field in the Florida Panhandle…." 

" When asked about the film's similarities to the 2015 Disney movie Tomorrowland , which also posits a futuristic world that exists in an alternative dimension, Nichols sighed. 'I was a little bummed, I guess,' he said of when he first learned about the project. . . . 'Our die was cast. Sometimes this kind of collective unconscious that we're all dabbling in, sometimes you're not the first one out of the gate.' "

Saturday, May 25, 2019

Brand On Breyer

Filed under: General — Tags: , — m759 @ 1:37 pm

Or:  One Quark for Muster Mark​

"In this way the eight trigrams came into being." — Richard Wilhelm

Detail:

Midrash:

Friday, May 24, 2019

Mystery at Santa Fe

Filed under: General — m759 @ 7:59 pm


A mysterious Google Search result from this evening —

A check of Marshall's announcement reveals an apparent
contradiction to the reported May 24 date of death. Although the
announcement says  that Gell-Mann died on May 24, the announcement
itself is timestamped midnight (00:00) at the beginning  of May 24 
according to Greenwich Mean Time, i.e., at 6 pm May 23 in Santa Fe —


This may or may not help to illustrate the Gell-Mann amnesia effect.

Hidden Eightfold Patterns

Filed under: General — Tags: , — m759 @ 5:23 pm

Capitalism with Chinese Characteristics

Filed under: General — m759 @ 11:47 am

Stevens and the Hoary Sages

Filed under: General — Tags: — m759 @ 11:05 am

See also other posts now tagged The Reality Blocks.

Thursday, May 23, 2019

Unix Time

Filed under: General — m759 @ 8:51 pm

"Mirror,  Mirror . . ."

The Unix timestamp above is from the HarperCollins piece below.

Fire on the Water

Filed under: General — Tags: — m759 @ 8:13 pm

Related literary remarks from The Crimson Abyss 
(a Log24 post of March 29, 2017) —

Prospero's Children  was first published by HarperCollins,
London, in 1999. A statement by the publisher provides
an instance of the famous "much-needed gap." —

"This is English fantasy at its finest. Prospero’s Children 
steps into the gap that exists between The Lion, the Witch
and the Wardrobe
  and Clive Barker’s Weaveworld , and
is destined to become a modern classic."

Related imagery from The Crimson Abyss —

See as well posts of June 6, 2004, and May 22, 2004.

May the Fourth for Spaceheads

Filed under: General — m759 @ 12:06 pm

An image posted here two years earlier, on May the Fourth, 2017 —

From Betty and Veronica Double Digest #229

           You are not alone.

Tuesday, May 21, 2019

The Toronto Plot*

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

* A title for Harlan Kane, suggested by obituaries
from The New York Times  (this afternoon) and from
CBC News (on May 14, below) . . .

. . . as well as by illustrations shown here on May 13 and by
a screenwriter quoted here on May 12 —

“When I die,” he liked to say, “I’m going to have written
on my tombstone, ‘Finally, a plot!’”

— Robert D. McFadden in The New York Times

Another quote that seems relevant —

I need a photo opportunity, I want a shot at redemption.
 Don’t want to end up a cartoon in a cartoon graveyard.”
 — Paul Simon

Cube Geometry Continues.

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

An illustration from the April 20, 2016, post

Symmetric Generation of a Simple Group

IMAGE- Bester,'The Stars My Destination' (with cover slightly changed)


"The geometry of unit cubes is a meeting point
 of several different subjects in mathematics."
 — Chuanming ZongBulletin of the American
Mathematical Society 
, January 2005

Iain Aitchison on symmetric generation of M24

Inside the White Cube

Filed under: General — Tags: , , , — m759 @ 11:01 am

(Continued)

Monday, May 20, 2019

The Bond with Reality

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


"The bond with reality is cut."

— Hans Freudenthal, 1962

Indeed it is.

Sunday, May 19, 2019

The Building Blocks of Geometry

From "On the life and scientific work of Gino Fano
by Alberto Collino, Alberto Conte, and Alessandro Verra,
ICCM Notices , July 2014, Vol. 2 No. 1, pp. 43-57 —

" Indeed, about the Italian debate on foundations of Geometry, it is not rare to read comments in the same spirit of the following one, due to Jeremy Gray13. He is essentially reporting Hans Freudenthal’s point of view:

' When the distinguished mathematician and historian of mathematics Hans Freudenthal analysed Hilbert’s  Grundlagen he argued that the link between reality and geometry appears to be severed for the first time in Hilbert’s work. However, he discovered that Hilbert had been preceded by the Italian mathematician Gino Fano in 1892. . . .' "

13 J. Gray, "The Foundations of Projective Geometry in Italy," Chapter 24 (pp. 269–279) in his book Worlds Out of Nothing , Springer (2010).


Restoring the severed link —

Structure of the eightfold cube

See also Espacement  and The Thing and I.
 

Related material —

 
[addtoany]
 

Rural Relativity

Filed under: General — Tags: — m759 @ 3:03 pm

Poem

Filed under: General — Tags: , — m759 @ 2:36 pm

"The technical aspects
Were carefully planned,
And the social aspect
Just happened."

Robert Fano

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