"Finite geometry explains the surprising symmetry properties
of some simple graphic designs." … Good summary.
Wednesday, May 31, 2023
Google AI-Powered-Overview Example
Tuesday, May 30, 2023
Benchmark
"He stopped at a bench where people could catch buses
from Somewhere to Elsewhere." — John Crowley, 1981
Hat tip to Stephanie Dick, now at Simon Fraser U.
The Tour
In memory of a co-founder of Hollywood's "Magic Castle"
who reportedly died at 92 on Sunday . . .
From posts that were tagged "Blake Tour" on Sunday —
Seal 7 . . .
See John Baez this morning on Galois. Note that Baez's
report of Galois's dies natalis is in error.
Monday, May 29, 2023
The Story Theory of Truth
From the Feast of St. Nicholas, 2022 —
"Does the phrase 'vinegar and brown paper'
mean anything to you?"
See also other posts tagged Up the Hill.
Mashup
Sunday, May 28, 2023
Annals of Philosophy: Shadow Hacking
In memory of philosopher Ian Hacking, who
reportedly died on May 10, some Log24 posts
are now tagged "Shadow Hacking."
Related material — Plato's Ghost in this journal, and . . .
For a Stuntman . . .
… who reportedly died on May 25 — Posts now tagged Blake Tour.
Saturday, May 27, 2023
Dies Natalis
Filters, Fog Machines, and Makeshift Devices
Friday, May 26, 2023
Capilla Abierta : An Exercise in Bulk Apperception
The previous post suggests a review . . .
The above remarks on topology are, of course, about as well-informed
as the remarks of Barry Mazur on locales .
Thursday, May 25, 2023
Woo for Burton (Tara Isabella Burton, that is)
"William Blake's statement in The Marriage of Heaven and Hell
'Eternity is in love with the productions of time' is an adumbration
of the paradoxology of the game of hide-and-seek that Non-duality
is playing with and in celebration of itself in Ia divina commedia of
this night of its dream."
— Joseph Campbell in "The Inner Reaches of Outer Space" (©1986)
Related material from a Log24 search for "inscapes4"—
Wednesday, May 24, 2023
Symmetries
(In memory of Robert Zimmer, a mathematician
who reportedly died yesterday)
This journal on the above date —
For St. Sara’s Day
Tuesday, May 23, 2023
“A Mad Day’s Work” (Hat tip to Pierre Cartier)*
Monday, May 22, 2023
Triangular Hyperplane Arrangement
Abstract: Boolean functions on a triangular grid.
Note: It seems that the above rearrangement of a square array
of hyperplanes to a triangular array of hyperplanes, which was
rather arbitrarily constructed to have nice symmetries, will
answer a question posed here on Dec. 15, 2015.
Sunday, May 21, 2023
Ingathering
The reference to "Magic: The Gathering" in the previous post
suggests a review of "gathering" tales that I personally prefer —
Putting the “Art” in “Artificial”
"So far, AIs produce abstract, almost surreal ideas, that
may lead you somewhere but have no consistent purpose."
— Greg Rutkowski, quoted on May 8, 2023, as below:
Source Code —
<title>What can be done to stop generative AI art? | Creative Bloq</title>
<meta name="pub_date" content="2023-05-08T07:30:27+00:00">
<meta name="description" content="These professional artists are
fighting back against generative AI art.">
<link rel="canonical" href="https://www.creativebloq.com/features/
what-can-stop-generative-ai-art">
What if the AIs are named Tara Hernandez and Damon Lindelof?
Yesterday's "Electric Avenue" post suggests an image by Rutkowski
from "Magic: The Gathering" . . .
Saturday, May 20, 2023
In Memory of Author Martin Amis…
… who reportedly died yesterday — See April 11, 2019.
Ask Not . . . For Whom the Notifications Sleep
Friday, May 19, 2023
Der Schlußstein des Gewölbes
Thursday, May 18, 2023
The Grave Dancer
CHICAGO–(BUSINESS WIRE) — It is with profound sadness
that Equity Residential (NYSE: EQR) mourns the death of its
Founder and Chairman, Samuel Zell, who died today at age 81.
By Allison Morrow, CNN Updated 12:38 PM EDT, Thu May 18, 2023 Sam Zell, the Chicago real-estate magnate whose knack for buying up distressed assets turned him into a billionaire and earned him the nickname “grave dancer,” died on Thursday, his company said. He was 81. Equity Residential, the company he founded decades ago, did not provide a cause of death but described Zell as an “iconic figure in real estate and throughout the corporate world.” Among his wide-ranging portfolio of investments were distressed assets in real estate and in media, including an ultimately disastrous bet on the Tribune Company. Zell had a personal net worth of $5.9 billion, according to the Bloomberg Billionaires Index. Zell had a penchant for scooping up cheap real estate and selling it later at a profit, a strategy he outlined in a 1978 article titled “The Grave Dancer,” which became his nickname in the industry. “I was dancing on the skeletons of other people’s mistakes,” he wrote. |
Wednesday, May 17, 2023
British Combinatorics 2023
"Martin told us about his work on machine learning…."
— Peter J. Cameron reports on last week's (May 10 and 11)
London Combinatorics Colloquia 2023.
Related material — Boolean Functions in this journal and in a book
from May 16, 2011 . . .
Some historical background on machine learning —
https://tripleampersand.org/kernelled-connections-perceptron-diagram/ .
Tuesday, May 16, 2023
The Cassirer in the Rye
From the American Mathematical Society today —
Robert Earl Tubbs (1954-2023)
May 15, 2023
"Tubbs, associate professor of mathematics at
the University of Colorado Boulder, died April 11, 2023,
at the age of 69. He received his PhD in 1981 from
Penn State University under the supervision of
W. Dale Brownawell. His research interests included
number theory, especially transcendental number theory,
the intellectual history of mathematical ideas and mathematics,
and the humanities."
This journal on the dies natalis of Tubbs had the third of three
posts tagged "Space and Form." Those posts dealt with European
cultural history related to Tubbs's interests. The "Space and Form"
posts, along with today's previous Log24 post, suggest a review of
the Nov. 10, 2021 post titled European Culture. An image from that post —
Those who share Cassirer's enthusiasm for myth may regard the
above Josefine Lyche version of my work as a sort of "secret writing,"
to quote a phrase of Cassirer's I find very distasteful. But there is nothing
secret about it, although there is some resemblance to written characters.
This post's title was suggested by a Salinger quote in the European Culture post.
Update on the next day, May 17 —
Further reading in Cassirer's Mythical Thought indicates that in the
passages above, on Schelling, he may be presenting a parody of
Schelling when he writes "a poem hidden behind a wonderful
secret writing." Later, on page 10, he asks, sensibly,
"… is there, perhaps, a means of retaining the question
put forward by Schelling's Philosophie der Mythologie
but of transferring it from the sphere of a philosophy of
the absolute to that of critical philosophy?"
There has reportedly been "an upsurge of interest" in Cassirer —
Monday, May 15, 2023
Chatbot Review
By ChatGPT* —
What is the Cullinane diamond theorem? The Cullinane Diamond Theorem, also known as the Diamond Theorem, is a result in combinatorial mathematics proposed by Steven H. Cullinane. The theorem explores connections between finite geometries, algebraic structures, and combinatorial designs.
The theorem is primarily concerned with four related structures: 2. Vector spaces: The theorem connects finite vector spaces over finite fields to the aforementioned finite geometries. 3. Boolean functions:* The theorem establishes relationships between the finite geometries and certain Boolean functions derived from them.
4. Symmetry groups: The theorem involves symmetry groups associated with the finite geometries. * With one revision by Cullinane: "Boolean functions" replaces "Boolean algebras." See (for instance) M. A. Harrison, “On the classification of Boolean functions by the general linear and affine groups,” Journal of the Society for Industrial and Applied Mathematics 1964 12:2, 285-299. |
Boolean Functions Review
The previous post included an illustration by Solomon Golomb
from his 1959 paper "On the Classification of Boolean Functions."
This suggests a review of some later work in this area —
This post was suggested by the word "Boolean" in a May 10
ChatGPT response —
In the above, "Boolean algebras" should be "Boolean functions,"
as indicated by Harrison's 1964 remarks.
Death on Beltane
"Stencils" from a 1959 paper by Golomb —
These 15 figures also represent the 15 points of a finite geometry
(Cullinane diamond theorem, February 1979).
This journal on Beltane (May 1), 2016 —
Sunday, May 14, 2023
“At the Bottom of Reality”
(Title phrase by Lee E. Mosley)
"Where past and future are gathered" — T. S. Eliot
(Image from a post of June 28, 2020.)
“The Structure of Space”
The above title. by one Lee E. Mosley, is from
"CreateSpace Independent Publishing Platform;
1st edition (June 4, 2017)."
From the preface —
"So simple . . . ."
"Building blocks"? — See the literature of pop physics.
Natural companions to building blocks, are, of course,
"permutation groups."
See the oeuvre of physics writer John Baez —
For instance, in a Log24 post from the above Mosley
publication date — June 4, 2017 —
Saturday, May 13, 2023
The Identity of an Entity
Multicultural Memorial: Death and Venice
Variety.com May 8, 2023, 1:45 AM PT —
“Pema Tseden, a famous Tibetan director, screenwriter and
professor at the Film School of the China Academy of Art,
died in Tibet in the early hours of May 8 due to an acute illness."
"The news was reported by the China Academy of Art."
The time in Lhasa, Tibet, is 12 hours ahead of New York time.
From this journal in the afternoon of May 7 (New York time) —
For a relationship between the above image and classic Chinese culture,
see Geometry of the I Ching.
A memorial image from Variety —
Tseden with the award for best screenplay at Venice on Sept. 8, 2018.
See also that date in this journal . . . Posts now tagged Space Structure.
Friday, May 12, 2023
Famous Chatbot School
Summary of a TV episode from yesterday that seems like
it was written by a hallucinating chatbot —
In other chatbot news . . .
As for 2001 . . . See "Notes from a (Paper) Journal 1993-2001."
Number and Time
(Title purloined from Marie-Louise von Franz.)
BCE/CE — A game with three letters … See Michener Game.
BC/AD — A game with four letters … See Eddington Game.
ABCDE — A game with five letters … See Simplex.
Thursday, May 11, 2023
Beach Song for Sister Simone
Today's "Mrs. Davis" episode ends with Sister Simone
on a beach being sung to by a beachgoer choir.
This bizarre plot twist suggests some other images —
Also from March 8, 2020 —
The above Puchner remarks on the Communist Manifesto featured
a banner at the top crediting "California State University, Chico."
More recently, from this journal —
Besides "Mrs. Davis," this post was suggested by . . .
https://lareviewofbooks.org/article/
is-multiculturalism-an-oxymoron-on-martin-puchners-culture/ .
Approaching the End of the Route
Images suggested by the above route number, 948 —
This post was suggested by the reported death last Friday (May 5)
at 91 of Christian Alexander Maria Strachwitz, folk music collector.
Wednesday, May 10, 2023
Elegy in a Cartoon Graveyard
See also posts now tagged Parable.
Puzzle Begun: Barnes Foundations
Saving the Appearances
“… I realized that to me,
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
Related images —
ChatGPT Improves
Previous ChatGPT responses to questions like those below
have been, to put it mildly, lacking in accuracy. But there has
lately been considerable improvement . . .
Tuesday, May 9, 2023
Embedding Space
"Ideally, a single joint embedding space — where many different kinds
of data are distributed — could allow a model to learn visual features
along with other modalities."
— https://ai.facebook.com/blog/imagebind-six-modalities-binding-ai/
The Blacklist School
The most recent "Blacklist" episode suggests a review —
"Where past and future are gathered" — Four Quartets
Your Mission, Should You Choose to Accept It
"To achieve our mission of bringing everyone the inspiration
to create a life they love, we need to personalize our content
with our user’s interests and context, taking into consideration
feedback a user has given on their Pinterest journey; i.e., we
need a strong representation of our users."
— From the arXiv one year ago, on 9 May 2022
See as well this journal on that date — "Will the Circle."
Alternate Film Title: Something, Somewhere, Sometime
"Long promised road
Flows to the source, gentle force"
— The Beach Boys
From a post of June 10, 2013 —
Monday, May 8, 2023
The Eighth Day… Continues.
Sunday, May 7, 2023
Logos
For the title, see Logos in this journal.
Some examples —
"Please wait as your operating system is initiated."
New Queen
This post is in memory of Adam Brace, a British comedy director.
His dies natalis is reported to be April 29, 2023.
See also Dramarama and, from the above story's date . . .
Windows Programming: The Postman
From "The Postman," the most recent "Blacklist" episode —
Related material —
A Bosch Xmas
Cicely Tyson as the future Mrs. Davis … Mrs. Miles Davis —
In Search of the Good: A Postman for Sunrise
The above title was suggested by the previous post.
Wikipedia on "Sunrise Semester" in 1976 —
Neil Postman taught a course, Communication,
The Invisible Environment, in the Fall of 1976.[7]
The cited link —
See also a search for Postman in this journal.
For the Latin Club Gang: Tabula Rasa
Dead Time: A Rabbit Hole Named Desire
For the above title, see a Log24 search.
Related material:
Oscar Hammerstein in Episode 6 of "Mrs. Davis" —
Flores para los Muertos
Saturday, May 6, 2023
The Chico Hallows
The above illustration is from Log24 on the dies natalis —
day of birth into heaven, in the Catholic tradition —
of Grace C. Hertlein, a sort of patron saint of computer art
from Chico, California, who reportedly died at 91 in 2015.
It supplies the parts missing from a J. K. Rowling design…
See Cinco de Mayo , 2011.
Degenerate and Illusory
Point Six
(TItle suggested by the song lyric "Hey, ninety-eight point six . . .")
(From a search in this journal for McGlashan )
Friday, May 5, 2023
High Concept: Retrofuture
The title is taken from the New York Times obituary
of an artist who reportedly died today.
See also the retrofuture concept in this journal.
Dungeons, Dragons, and Wishing Wells
This journal ten years ago today —
This journal on April 10, 2022 —
Be careful what you wish for.
You might get . . .
For St. Corky Lee
Today's Google Doodle honors a Chinese-American photographer
who reportedly died on January 27, 2021.
From his dies natalis (birth into heaven, in the Catholic tradition) —
See as well some background on a Chinese-related cube.
For the Latin Club Gang: Sigillum Veri
Inside Story
Related narrative —
This post was suggested by the Möbius Dick air date —
August 4, 2011 — in this journal.
The Singularity Speaks
"Extremely elementary," my dear Watson.
For the Dragon School . . .
Religious Vocabulary — “Hier Stehe Ich”
"I stood quietly, like a fսcking moron . . ."
Read more at:
https://tvshowtranscripts.ourboard.org/
viewtopic.php?f=1820&t=62232
Thursday, May 4, 2023
The Hemingway Clause
For Stephen King’s Night Table
Into the West: Coachella* Concert
A trip down Memory Lane with the Eurythmics, and
a lullaby from Steely Dan.
"Some prefer more rural tunes . . . "
"I want to ride to the ridge where the West commences . . ."
* See a Log24 post of April 26, 2023.
For Blacklist Fans: The Intelligencers
“The Nothing That Is”*
The New York Times reports a March 26 death —
* Results of a title search —
For Thalia — "Apart from that, Mrs. Kaplan . . ."
Wednesday, May 3, 2023
Art Lesson for Doktor Faustus
Exercise: Show that Dürer's 1514 "magic" square is an affine automorphism.
For a solution, see other posts now tagged Affine Squares.
Art Lesson for Bardo College
Kernels
Continued from yesterday's "Kernel" —
The ACM (Association for Computing Machinery)
has a news release today on an expert on "kernels,"
in the sense that they are used in AI —
"Schölkopf [link added] is recognized for his
widely used research in machine learning,
advancing both mathematical foundations and
a broad range of applications in science and
industry."
From Schölkopf in 2002 —
Personal Folklore
From my hometown newspaper
on the eve of my 16th birthday —
"Just the facts, ma'am."
— A saying falsely attributed to the
LAPD's Sergeant Joe Friday .
Folklore
"Piotr Grochowski's 'Miracles and Visionaries in the Digital Age'
explores the impact of digital technolgies in Catholic Apparitional
movements." (links added) — Journal of American Folklore ,
Fall issue, October 2022 preview.
As for "Miracles and Visionaries," I prefer the literature associated
with the 1974 Miracle Octad Generator of R. T. Curtis.
Tuesday, May 2, 2023
Kernel
From a post of September 24, 2011 —
Weyl on coordinate systems,
Cassirer on the kernel of being,
and A Study in Art Education.
Digital Heaven: Cloud Nine
Dust in the Wind
See posts tagged "The Next Level."
Perhaps Isadore Singer now has a clue . . .
See his phrases "manic as hell" and "pregnant as hell."
See also Illinois Beltane.
Monday, May 1, 2023
Pop Goes the Weasel
The First of May is known to some as Law Day, and to others as Lei Day.
A Word for Isadore Singer: Snaith
Related narrative: Bosch by Snaith . See also . . .
Neil Welliver, great American painter, father of Titus Welliver
Titus Welliver Says "Losing His Way" Led Him Back to Painting
Carny Art for Gresham*
"Carny, also spelled carnie, is an informal term
used in North America for a traveling carnival
employee, and the language they use, particularly
when the employee operates a game ("joint"),
food stand ("grab", "popper" or "floss wagon"),
or ride ("ride jock") at a carnival." — Wikipedia
* See Gresham in this journal.
See also Tolkien on allusions.
Discuss —
Chain of Title: Complete, Clean, Unencumbered!
From some Canadian legal boilerplate —
E. Be able to provide complete, clean, unencumbered
chain of title for the Project, must have all the rights,
releases and clearances necessary to produce, own and
exploit the Project and for deployment of the Project . . . .
Weak Links in the Chain of Title —
A 2006 biography of geometer H.S.M. Coxeter:
The Aleph (implicit in a 1950 article by Coxeter):
Click on images
for further details.
But Seriously . . . From the E. Street School
Duck Art
The New York Times reports a March 2 death —
"A product of Britain’s Royal Academy of Art,
Mr. Stobart moved to the United States in 1970,
when conceptual art, Op Art and minimalism
were riding high in the wake of Abstract Expressionism.
Affable, unassuming and unfailingly candid, Mr. Stobart
would have none of it. 'I’ve never bought it, and the
general public has never bought it either,' he said of
abstract art in an interview with The Boston Globe in 1986.
'That’s a lot of baloney, that stuff.' ”
See also duck art from the Groucho school.