Log24

Monday, October 31, 2022

Folklore vs. Mathematics

Filed under: General — Tags: , , , — m759 @ 5:59 pm


Folklore —
 

Earlier in that same journal . . .

The 1955 Levi-Strauss 'canonic formula' in its original context of permutation groups


Mathematics —
 

Webpage demonstrating symmetries of 'Solomon's Cube'

Sunday, October 30, 2022

Rethinking October 18th

Filed under: General — m759 @ 1:45 pm

The New York Times  today reported a death on October 18th,
the Feast of St. Luke.

See also Luke in this  journal. Some will prefer Cool Hand  Luke to
the alleged gospel author.

"Sometimes nothin' can be a real cool hand."

Saturday, October 29, 2022

Quarterly

Filed under: General — Tags: , — m759 @ 2:02 pm

"Quarterly" in a different sense —

http://www.log24.com/log/pix10A/100703-Elements.gif

From "Beyond the Limits," this  journal, July 3, 2010.

Boolean Halloween

Filed under: General — Tags: — m759 @ 12:52 pm

From Log24 posts tagged Boole vs. Galois

Kauffman‘s fixation on the work of Spencer-Brown is perhaps in part
due to Kauffman’s familiarity with Boolean algebra and his ignorance of
Galois geometry.  See other posts now tagged Boole vs. Galois.

Detail, 8/14/2016 Google image search for 'Galois Boole'

See also “A Four-Color Epic” (April 16, 2020).

Friday, October 28, 2022

“If there’s a rock ’n’ roll heaven…”

Filed under: General — m759 @ 6:16 pm

See also "hell of a band" in this  journal.

In Memoriam

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

The Lexeme “Deploy”

Filed under: General — Tags: , , , — m759 @ 2:22 pm

From an Oct. 26 elegy in the form of a book review …

From a search in this  journal for "deploy" —

Related art —

As for "Miracles and Visionaries," I prefer the literature associated
with the 1974 Miracle Octad Generator  of R. T. Curtis.

Thursday, October 27, 2022

The Zombie Doctrine

Filed under: General — Tags: — m759 @ 2:04 pm

A reference to neoliberalism  in today's news suggests a look at
a British journalist's remarks from April 2016 . . .

"Like communism, neoliberalism is
the God that failed. But the zombie doctrine
staggers on . . . ."

Wednesday, October 26, 2022

The Big Rock

Filed under: General — Tags: , , — m759 @ 7:38 pm

Big Rock

"I'm going to hit this problem
with a big rock."

– Mathematical saying, quoted here
   on St. Peter's Day 2008

"I see a red door and I want it painted black" — The Rolling Stones 

The Hunt for Galois October

Filed under: General — Tags: , , — m759 @ 10:04 am

"… Évariste was born on October 25, 1811."
— Eric Temple Bell, Men of Mathematics

Related material — 

https://math.stackexchange.com/questions/1793035/
galois-field-of-order-2-constituting-a-boolean-algebra
 .

But seriously . . .

Another Midnight, Another Couch

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

Tuesday, October 25, 2022

Orison Metadata

Filed under: General — Tags: — m759 @ 10:47 am

See also "Marxism" in Varadharajan's CV and . . .

Monday, October 24, 2022

Turning Eight: Double Twist

Filed under: General — Tags: , — m759 @ 11:46 am

This post is a sequel to my earlier memoir, "Turning Nine."

Related material … "Double Twist" in …

Sunday, October 23, 2022

Mathematical Intelligencer  News

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

For Pekonen in this  journal, see 
From the Finland Station (25 April 2022).

See as well an obituary from Finland.

Saddle Design: The Little Big Horn

Filed under: General — Tags: , — m759 @ 12:34 am

Related material —

CLIPPED FROM The Californian , Salinas, California,
28 July 2001, Saturday  •  Page 25 —

The above 2001 article on Cruz Saddlery in Salinas is about the family
of "Sacheen Littlefeather," whose real name was reportedly Maria Louise Cruz.

For more about Maria/Sacheen, see yesterday's San Francisco Chronicle :

"Sacheen Littlefeather was a Native American icon.
 Her sisters say she was an ethnic fraud.
"

From that article —

Saturday, October 22, 2022

Design Research . . .

Filed under: General — Tags: — m759 @ 10:57 pm

From June 19, 2012

IMAGE- The Marriage of Heaven and Hell-- Swedenborg Chapel and the Harvard Graduate School of Design

The Concrete of Destiny

Filed under: General — Tags: — m759 @ 5:06 pm

Also on October 3rd . . . The Concrete  of Destiny .

An Artist’s Phrase: “Form from Morf” — Josefine Lyche

Filed under: General — Tags: , — m759 @ 1:22 pm

See also . . .

Illustration . . .

Metadata —

Friday, October 21, 2022

A Critic’s Phrase

Filed under: General — Tags: , — m759 @ 8:29 pm

"The Unhurried Curve"

Peter Schjeldahl, 1942-2022

Filed under: General — Tags: — m759 @ 6:39 pm

Dimensional Positioning*

Filed under: General — Tags: , — m759 @ 1:29 pm

In memory of Lenny Lipton.

* See Dimensions and Positioning.

Meta Wordmark

Filed under: General — Tags: , , — m759 @ 12:00 pm

Some will prefer the saddle shape of 

Capilla Abierta.

The Fort/Da  Game

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

Gone —

Arts & Letters Daily  today noted  a recent death:

There —

See "The 24 Box," June 12, 2021.

Design Award

Filed under: General — Tags: , — m759 @ 12:48 am

Continuing the "Design Awards" series of posts . . .

See as well, from a search in this journal for Caprica . . .

 

Thursday, October 20, 2022

In Hoc Signo

Filed under: General — m759 @ 8:38 pm

This post was suggested by a Google search today.

Déjà Vu All Over Again

Filed under: General — m759 @ 12:33 pm

"Ignore the red dot, for it is an illusion."

   "Red and Yellow, Blue and Green"

 

Wednesday, October 19, 2022

Key Seeks Keyhole

Filed under: General — Tags: — m759 @ 7:28 pm

'Positioning' as a marketing strategy

Meanwhile, in this  journal on the above date of death —

The Red Dot

Filed under: General — m759 @ 12:00 pm

Tuesday, October 18, 2022

Arco

Filed under: General — m759 @ 11:22 pm

The above image of an 18 Sept. post commemorates a Sept. 18 death.

Related material:  Kiss of the Spider Woman and Dramarama.

Square Ice

Filed under: General — m759 @ 2:12 pm

See as well remarks here  from 23 Dec. 2014 
on the Greek word "stoicheia." 

Pasaje

Filed under: General — Tags: — m759 @ 11:58 am

http://www.log24.com/log/pix11A/110502-PostcardsFromCuernavaca-500w.jpg

“I’m In with the In Crowd” …

Filed under: General — m759 @ 3:05 am

… "and moss grows fat on a rolling stone."

Monday, October 17, 2022

A Sinuous Scholium

Filed under: General — Tags: — m759 @ 11:43 am

The previous post suggests A Scholium for St. Bridget . . .

Demianova in Barcelona

Filed under: General — Tags: — m759 @ 10:30 am

See also Barcelona in this  journal.

From the November 2022 Notices of the A.M.S.

Filed under: General — Tags: , , — m759 @ 9:28 am

"Geometric Group Theory" by Matt Clay, U. of Arkansas

"This article is intended to give an idea about how
the topology and geometry of a space influences
the algebraic structure of groups that act on it and
how this can be used to investigate groups."

Notices  homepage summary

A more precise description of the subject . . .

"The key idea in geometric group theory is to study
infinite groups by endowing them with a metric and
treating them as geometric spaces."

— AMS description of the 2018  treatise
Geometric Group Theory , by Drutu and Kapovich

See also "Geometric Group Theory" in this  journal.

The sort of thing that most interests me, finite  groups
acting on finite  structures, is not included in the above
description of Clay's article. That description only
applies to topological  spaces.  Topology is of little use
for finite  structures unless they are embedded* in 
larger spaces that are continuous, not discrete.

* As, for instance, the fifty-six 3-subsets of an 8-set are
embedded in the continuous space of The Eightfold Way .

Sunday, October 16, 2022

Models for Accelerated Learning

Filed under: General — Tags: , — m759 @ 3:02 pm

The author of the above Math Academy story is one Jay Mathews:

As a model for accelerated learning, I prefer Kate Demianova.

The Demianova Epiphany

Filed under: General — Tags: , , , — m759 @ 12:23 pm

The inspiration for the previous post

See as well Top and Bottom in this  journal.

Images for Siri

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

See also the Log24 posts of July 26, 2011, now tagged Images for Siri.

For Broomsday: Turning Eight

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

From a search in this journal for Quaternion + Rotation

Quaternion Group Models.

Saturday, October 15, 2022

Dark Materials

Filed under: General — m759 @ 10:27 pm

Concept Art

Filed under: General — m759 @ 2:35 pm

Also on New Year's Day —

Extra:  http://m759.net/wordpress/?p=46212

A Box of Nothing . . .

Filed under: General — Tags: — m759 @ 9:16 am

Continues.

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

Social Calendar Girls

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

Serpentine Meditation

Filed under: General — Tags: — m759 @ 7:44 am

See also Taormina in this  journal.

Friday, October 14, 2022

Symmetry Wars

Filed under: General — Tags: , — m759 @ 10:31 pm

Recreational Crystallography

Filed under: General — Tags: — m759 @ 4:10 pm

"Boron atoms and metal atoms can form a configuration . . . ."

See as well other posts now tagged Death Valley Days.

The Harlan Kane Story

Filed under: General — m759 @ 2:55 pm

See as well "Sunset Boulevard" in this journal.

The Old Hollywood Runaround

Filed under: General — m759 @ 1:47 pm

Fake News  headline from the previous post

"Treasure Seeker Trapped in Burial Vault"

Illustration —

The Criterion Instagram

Filed under: General — m759 @ 1:01 pm

Thursday, October 13, 2022

Triangle Entertainment

Filed under: General — m759 @ 5:19 pm

A link in memory of a Princeton-educated mathematics professor who
reportedly died on June 22, 2022 . . . Some non-Princeton triangles.

The Watson Instagram

Filed under: General — m759 @ 10:01 am

A routine check for the accuracy of Watson's quotation yields the source
of Didion's remarks — a 1975 UC Riverside commencement address.

Prickly Paradigm Press

Filed under: General — Tags: — m759 @ 8:59 am

A search for background on the previous post's Eliot Weinberger yields,
from Berlin . . .

"In 2000 he was the first US writer to be honoured with
the Order of the Aztec Eagle from the Mexican government."

— "2000 zeichnete ihn die mexikanische Regierung als ersten
US-amerikanischen Autor mit dem Order of the Aztec Eagle aus.

The Aztec Eagle with a serpent in its beak, landing on a prickly pear,
is pictured on the flag of Mexico.

See also Weinberger's work at Prickly Paradigm Press.

Related material: Other Log24 posts tagged Prickly.

Wednesday, October 12, 2022

Kaleidoscopic Structuralism…

Filed under: General — Tags: , , , — m759 @ 10:17 am

Continues.

"Think about anything often enough, from enough angles,
and it’s bound to splinter and refract. Our minds are like
kaleidoscopes, packed with mirrors we twist to see the
world anew. Sometimes we’re twisting consciously,
sometimes unconsciously. But no matter what, we end up
seeing patterns that are more a product of the tool in hand
than of the world on its other end."

—  Henry M. Cowles in The Los Angeles Review of Books , 
      October 11, 2022

Cowles on the book under review —

" Patrick House’s Nineteen Ways of Looking at Consciousness ,
a new book on neuroscience and its limits. Lest readers jump to
the wrong conclusion: The referent in House’s title, though also
poetic, is not Stevens but rather Nineteen Ways of Looking at
Wang Wei 
, an anthology of attempts to translate a four-line poem
from the Tang Dynasty."

"The referent" anthology is, according to Google Books

"a close reading of different translations of a single poem."

The close reader is Eliot Weinberger, who appeared here in 2011

The "my own" link above is to "Pilate Goes to Kindergarten."

Spatial K

Filed under: General — Tags: , , , — m759 @ 7:11 am

Time and Chance  continues …

Cube symmetry subgroup of order 8 from 'Geometry and Symmetry,' Paul B. Yale, 1968, p.21

Monday, October 10, 2022

The 10/10 Business

Filed under: General — Tags: — m759 @ 7:11 pm

The two "D" favicons in this Sunday image are for "Deadline."

Seeking the Path

Filed under: General — Tags: — m759 @ 10:46 am

See also a Log24 search for "The Path."

Related material from a similar search
for "Nanavira Thera" —

"I am glad you have discovered that the situation is comical:
 ever since studying Kummer I have been, with some difficulty,
 refraining from making that remark."

— Nanavira Thera, Seeking the Path  [Early Letters, 17 July 1958].

Hidden Structure

The following note from Oct. 10, 1985, was not included
in my finitegeometry.org/sc pages.

'Dreaming Jewels' from October 10, 1985

See some related group actions on the cuboctahedron at right above.

Sunday, October 9, 2022

Cutting Edge

Filed under: General — Tags: , — m759 @ 2:20 pm

"For Marker, memory isn’t passive; it’s an act of resistance—
the edge that cuts a path into the future—and the effective work
of memory is the very definition of art."

July 30, 2012 in The New Yorker… Richard Brody on the late
film editor Chris Marker.

Sunday Sermon

Filed under: General — Tags: — m759 @ 12:09 pm

Click to enlarge:

See also "Wild Palms" in this  journal.

To the Lighthouse

Filed under: General — m759 @ 6:00 am

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.

Chandler Davis, 1926-2022

Filed under: General — m759 @ 10:04 am

Log24 art (colored Unicode symbols) from the above date of death:

"Click the red symbol, and"

— Adapted from "The Matrix."

Cultural Correlation

Filed under: General — Tags: , — m759 @ 8:55 am

The phrase "cultural correlations" from the previous post suggests . . .

From this journal on Bloomsday 2008

The holy image

Black disc from end of Ch. 17 of Ulysses

denoting belief and  revelation
may be interpreted as
a black hole or as a
symbol by James Joyce :

When?

Going to dark bed there was a square round Sinbad the Sailor roc’s auk’s egg in the night of the bed of all the auks of the rocs of Darkinbad the Brightdayler.

Where?

Black disc from end of Ch. 17 in Ulysses

— Ulysses , conclusion of Chapter 17.

Friday, October 7, 2022

Raiders of the Lost Spell

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

From Mysticism to Mathematics… And Back Again

Filed under: General — Tags: , — m759 @ 10:54 am

See the previous post as well as posts now tagged Soul and Spirit.

Soul

http://www.log24.com/log/pix11/110110-CrazyHeart225.jpg

Spirit

http://www.log24.com/log/pix11/110111-BridgesObadiahSm.jpg

The mirror has two faces (at least).

Thursday, October 6, 2022

From Mysticism to Mathematics

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

[Klein, 1983] S. Klein.
"Analogy and Mysticism and the Structure of Culture
(and Comments & Reply)
"
Current Anthropology , 24 (2):151–180, 1983.

The citation above is from a 2017 paper —

"Analogy-preserving Functions:
A Way to Extend Boolean Samples
,"
by M. Couceiro, N. Hug, H. Prade, G, Richard.
26th International Joint Conference on Artificial Intelligence
(IJCAI 2017), Aug. 2017, Melbourne, Australia. pp.1-7, ff.

That 2017 paper discusses Boolean functions .

Some more-recent remarks on these functions
as pure  mathematics —

"On the Number of Affine Equivalence Classes
of Boolean Functions,
" by Xiang-dong Hou,
arXiv:2007.12308v2 [math.CO]. Rev. Aug. 18, 2021.

See also other posts now tagged Analogy and Mysticism.

Wednesday, October 5, 2022

Physicality

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

"Battles argues that 'the experience of the physicality
of the book is strongest in large libraries,' and stand
among the glass cube at the center of the British Library,
the stacks upon stacks in Harvard’s Widener Library, or
the domed portico of the Library of Congress and tell me
any differently."

— Ed Simon, Binding the Ghost: Theology, Mystery, and
the Transcendence of Literature. 
Hardcover – April 19, 2022.

IMAGE- Construction of 'Heaven Descending' lattice

… And back to cube:

Related meditation:  Beer Summit.

Tuesday, October 4, 2022

Sample

Filed under: General — m759 @ 1:00 pm

Images from April 1, 2004

Filed under: General — m759 @ 11:35 am

Epigraph:

Images from April 1, 2004:

 

Monday, October 3, 2022

Old Code

Filed under: General — Tags: , — m759 @ 8:23 pm

In memory of a mathematics professor who
reportedly died on May 21, 2022 —

"… mouses over to a file …."  Or a folder.

The Abstract and the Concrete

Filed under: General — Tags: — m759 @ 9:42 am

Counting symmetries with the orbit-stabilizer theorem

The above art by Steven H. Cullinane is not unrelated to
art by Josefine Lyche. Her work includes sculpted replicas
of the above abstract  Platonic solids, as well as replicas of
my own work related to properties of the 4×6 rectangle above.
Symmetries of both the solids and the rectangle may be
viewed as permutations of  parts — In the Platonic solids,
the parts are permuted by continuous  rotations of space itself.
In the rectangle, the parts are permuted by non-continuous 
transformations, as in the I Ching . . . i.e., by concrete  illustrations
of change.

Sunday, October 2, 2022

Epistemology in Norway

Filed under: General — Tags: — m759 @ 12:53 pm

Saturday, October 1, 2022

Mexican Beach Bum Glam

Filed under: General — Tags: , — m759 @ 11:20 am

Also on the above Berlin date —

Wednesday, November 6, 2013

Bullshit Studies

Filed under: General — Tags:  
— m759 @ 3:12 PM 

The essay excerpted in last night's post on structuralism
is of value as part of a sustained attack by the late
Robert de Marrais on the damned nonsense of the late
French literary theorist Jacques Derrida—

Catastrophes, Kaleidoscopes, String Quartets:
Deploying the Glass Bead Game

Part I:  Ministrations Concerning Silliness, or:
Is “Interdisciplinary Thought” an Oxymoron?

Part II:  Canonical Collage-oscopes, or:
Claude in Jacques’ Trap?  Not What It Sounds Like!

Part III:  Grooving on the Sly with Klein Groups

Part IV:  Claude’s Kaleidoscope . . . and Carl’s

Part V:  Spelling the Tree, from Aleph to Tav
(While  Not Forgetting to Shin)

The response of de Marrais to Derrida's oeuvre  nicely
exemplifies the maxim of Norman Mailer that

"At times, bullshit can only be countered
with superior bullshit."

Imagine.

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

"… a hyper-intellectual fable that riddles you into a house
of mirrors from which you wonder if you’ll ever emerge.
(Imagine packaging the universe’s most existential questions
as Abbott and Costello’s 'Who’s on First?' routine.)"

Book review by Michael Callahan in The New York Times
on September 19, 2022.

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