"Pint comes from the Old French word pinte and perhaps ultimately
from Vulgar Latin pincta meaning 'painted,' for marks painted on
the side of a container to show capacity.*
* "Pint," Merriam-Webster.com. 2013. Retrieved 31 May 2013."
"Ride a painted pony . . ." — Play It as It Lays song
"I love you Mony Mony . . . ." — Another song
I added today a few mathematics images to my Pinterest account —
-Representations-Wikipedia.jpg)
As for what Polster called "God's fingerprint" . . .
A version for Hollywood —
Main webpage of record . . .
Encyclopedia of Mathematics https://encyclopediaofmath.org/wiki/Cullinane_diamond_theorem
Supplementary PDF from Jan. 6, 2006 https://encyclopediaofmath.org/images/3/37/Dtheorem.pdf
Originally published in paper version . . .
Computer Graphics and Art, 1978 http://finitegeometry.org/sc/gen/Diamond_Theory_Article.pdf
AMS abstract, 1979: "Symmetry Invariance in a Diamond Ring" https://www.cullinane.design/
American Mathematical Monthly, 1984 and 1985: "Triangles Are Square" http://finitegeometry.org/sc/16/trisquare.html
Personal sites . . .
Primary —
Personal journal http://m759.net/wordpress/
Mathematics website http://finitegeometry.org/sc/
Mathematics Images Gallery http://m759.net/piwigo/index.php?/category/2
Secondary —
Portfoliobox https://cullinane.pb.design/
Substack https://stevenhcullinane.substack.com/
Symmetry Summary https://shc759.wordpress.com
Diamond Theory Cover Structure https://shc7596.wixsite.com/website
SOCIAL:
Pinterest https://www.pinterest.com/stevenhcullinane/ (many mathematics notes)
Flickr https://www.flickr.com/photos/m759/ (backup account for images of mathematics notes)
Instagram https://www.instagram.com/stevencullinane
TikTok https://www.tiktok.com/@stevenhcullinane
X.com https://x.com/shc759
OTHER:
Replit viewer/download https://replit.com/@m759/View-4x4x4?v=1
SourceForge download https://sourceforge.net/projects/finitegeometry/
Academia.edu https://stevenhcullinane.academia.edu/ GitHub https://github.com/m759 (finite geometry site download)
Internet Archive: Notes on Groups and Geometry https://archive.org/details/NotesOnGroupsAndGeometry1978-1986/mode/2up
Cited at . . .
The Diamond Theorem and Truchet Tiles http://www.log24.com/log22/220429-Basque-DT-1.pdf
April 2024 UNION article in Spanish featuring the diamond theorem https://union.fespm.es/index.php/UNION/article/view/1608/1214
April 2024 UNION article in English http://log24.com/notes/240923-Ibanez-Torres-on-diamond-theorem-Union-April-2024-in-English.pdf
Cullinane in a 2020 Royal Holloway Ph.D. thesis https://pure.royalholloway.ac.uk/ws/portalfiles/portal/40176912/2020thomsonkphd.pdf
Squares, Chevrons, Pinwheels, and Bach https://www.yumpu.com/en/document/read/36444818/fugue-no-21-elements-of-finite-geometry
Observables programmed presentation of diamond theorem https://observablehq.com/@radames/diamond-theory-symmetry-in-binary-spaces
Josefine Lyche — Plato's Diamond https://web.archive.org/web/20240222064628/http://www.josefinelyche.com/index.php?/selected-exhibitions/platos-diamond/
Josefine Lyche — Diamond Theorem https://web.archive.org/web/20230921122049/http://josefinelyche.com/index.php?/selected-exhibitions/uten-ramme-nye-rom/
Professional sites . . .
Association for Computing Machinery https://member.acm.org/~scullinane
bio.site/cullinane … maintenance at https://biosites.com
ORCID bio page https://orcid.org/0000-0003-1135-419X
Google Scholar https://scholar.google.com/citations?view_op=list_works&hl=en&hl=en&user=NcjmFwQAAAAJ&sortby=pubdate
Academic repositories:
Harvard Dataverse https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/KHMMVH
Harvard DASH article on PG(3,2) https://dash.harvard.edu/handle/1/37373777
Zenodo website download https://zenodo.org/records/1038121
Zenodo research notes https://zenodo.org/search?q=metadata.creators.person_or_org.name%3A%22Cullinane%2C%20Steven%20H.%22&l=list&p=1&s=10&sort=bestmatch
Figurate Geometry at Open Science Framework (OSF) https://osf.io/47fkd/
arXiv: "The Diamond Theorem" https://arxiv.org/abs/1308.1075
Found on the Web today —
Earlier . . .
Thursday, August 10, 2023
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Related entertainment starring Martin Freeman —
Related Art —
See as well The Diamond Theorem in Basque Country
for material from the University of the Basque Country,
an offshoot of the University of Bilbao (in Basque, "Bilbo").
|
Monday, May 8, 2017
New Pinterest Board
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The face at lower left above is that of an early Design edgelord.
A product of that edgelord's school —
See a design by Prince-Ramus in today's New York Times —
Remarks quoted here on the above San Diego date —
A related void —
Jill Lepore of Harvard in The New Yorker today —
|
"In 2021, Elon Musk became the world’s richest man (no woman came close), and Time named him Person of the Year: 'This is the man who aspires to save our planet and get us a new one to inhabit: clown, genius, edgelord, visionary, industrialist, showman, cad; a madcap hybrid of Thomas Edison, P. T. Barnum, Andrew Carnegie and Watchmen’s Doctor Manhattan, the brooding, blue-skinned man-god who invents electric cars and moves to Mars.' Right about when Time was preparing that giddy announcement, three women whose ovaries and uteruses were involved in passing down the madcap man-god’s genes were in the maternity ward of a hospital in Austin. Musk believes a declining birth rate is a threat to civilization and, with his trademark tirelessness, is doing his visionary edgelord best to ward off that threat." |
Some vocabulary background —
See also this journal on that date —
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Monday, May 8, 2017
New Pinterest Board
|
The face at lower left above is that of an early Design edgelord.
"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."
See as well Kipnis on the separatrix, and a notation
that represents a date in September, not August:
9/6.
"Pray for the grace of accuracy." — Robert Lowell
What is wrong with this picture?
Related material from November 22, 2018 —
Sir Laurence Olivier, in "Term of Trial" (1962), dangles
a participle in front of schoolboy Terence Stamp:
"Walking to school today
my arithmetic book
fell into the gutter"
An article yesterday at Quanta Magazine suggests a review . . .
From Diamond Theorem images at Pinterest —
Some background —
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 —
In memory of an actor who in films played Bilbo Baggins,
but on the stage was most closely identified with works by
Harold Pinter, especially “The Homecoming.”
A search for Pinter in this journal yields, as well as the playwright,
some posts tagged The Pinterest Directive. These include . . .
Related image — The square and circle pictured here yesterday —
Liz Elverenli on the writers of “I Am Not Okay with This”
(Instagram, Jan. 18, 2019) —
“We went full Twin Peaks.”
Perhaps not full Twin Peaks . . .
Update of 11:22 PM ET —
A “Not Okay” line from Episode 1.03, “The Party’s Over” —
00:00:31,573 –> 00:00:34,159
Something just didn’t feel right.
I prefer the Jacky St. James illustration of this sentiment:
Egon Schiele fans other than Elverenli may agree.
“It’s showtime, folks!” — Opening scenes of “All That Jazz.”
Influenz , by Paul Klee —
"One of the most influential of modern thinkers . . . ."
As is Stan Lee . . .
"Watch the trailer." — This journal on Eliza Doolittle Day, 2012 .
"János Bolyai was a nineteenth-century mathematician who
set the stage for the field of non-Euclidean geometry."
— Transylvania Now , October 26, 2018
From Coxeter and the Relativity Problem —
Desiring the exhilarations of changes:
The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being,
The ruddy temper, the hammer
Of red and blue, the hard sound—
Steel against intimation—the sharp flash,
The vital, arrogant, fatal, dominant X.
|
NEWSWEEK
AT 95, HERMAN WOUK
BY LOUISA THOMAS ON 4/8/10 AT 8:00 PM EDT Still, Wouk, a month away from his 95th birthday, knows he cannot write forever. He has described The Language God Talks as a "summing up," even if he is toying with the idea of writing a sequel. Earnestly written and very brief, it is an unusual work—partly a quick trip through developments in cosmology, partly an episodic memoir, partly an essay on faith and science. At the end, it portrays an imagined conversation between Wouk and the scientist Richard Feynman: historical fiction about the drama of the believer and the skeptic. In real life, Wouk met Feynman while researching the atom bomb for War and Remembrance . Feynman wasn't interested in fiction; he called calculus "the language God talks." But during a summer at the Aspen Institute, the two men spent hours talking, and Wouk has been thinking about his exchanges with Feynman and other scientists ever since. He even tried to learn calculus. Feynman was a secular Jew, and yet something about the way he saw the world resonated with the observantly religious novelist. One day Wouk came across an interview in which Feynman said, "It doesn't seem to me that this fantastically marvelous universe … can merely be a stage so that God can watch human beings struggle for good and evil—which is the view that religion has. The stage is too big for the drama." The huge stage and the human drama: "This is the subject I've been thinking about my whole life," Wouk says. . . . . |
Related remarks on language —
"But perhaps the desire for story
is what gets us into trouble to begin with."
— Sarah Marshall on June 5, 2018
"Beckett wrote that Joyce believed fervently in
the significance of chance events and of
random connections. ‘To Joyce reality was a paradigm,
an illustration of a possibly unstateable rule…
According to this rule, reality, no matter how much
we try to manipulate it, can only shift about
in continual movement, yet movement
limited in its possibilities…’ giving rise to
‘the notion of the world where unexpected simultaneities
are the rule.’ In other words, a coincidence … is actually
just part of a continually moving pattern, like a kaleidoscope.
Or Joyce likes to put it, a ‘collideorscape’."
— Gabrielle Carey, "Breaking Up with James Joyce,"
Sydney Review of Books , 15 June 2018
Carey's carelessness with quotations suggests a look at another
author's quoting of Ellmann on Joyce —
See Solomon Marcus in this journal.
Related art —
Related fictions: The Seventh Function of Language (2017)
and Lexicon (2013). I prefer Lexicon .
. . . Con Figuras de Espantar
"He Who Searches is multifaceted in structure …"
— Publisher's description of a Helen Lane translation
of "Como en la Guerra ," by Luisa Valenzuela.
Also by Valenzuela —
Related material — An obituary from The Boston Globe today
on the April 5 death of Borinsky's translator, and . . .
"He Who Searches" may consult also posts tagged Date.
Excerpts from a post of May 25, 2005 —
Above is an example I like of mathematics….
Here is an example I like of narrative:
Kate felt quite dizzy. She didn't know exactly what it was
that had just happened, but she felt pretty damn certain that
it was the sort of experience that her mother would not have
approved of on a first date.
"Is this all part of what we have to do to go to Asgard?"
she said. "Or are you just fooling around?"
"We will go to Asgard...now," he said.
At that moment he raised his hand as if to pluck an apple,
but instead of plucking he made a tiny, sharp turning movement.
The effect was as if he had twisted the entire world through a
billionth part of a billionth part of a degree. Everything
shifted, was for a moment minutely out of focus, and then
snapped back again as a suddenly different world.
— Douglas Adams, The Long Dark Tea-Time of the Soul
Image from a different different world —
Hat-tip to a related Feb. 26 weblog post
at the American Mathematical Society.
From the American Mathematical Society homepage today —
From concinnitasproject.org —
"Concinnitas is the title of a portfolio of fine art prints. . . .
The portfolio draws its name from a word famously used
by the Renaissance scholar, artist, architect, and philosopher
Leon Battista Alberti (1404-1472) to connote the balance of
number, outline, and position (in essence, number, geometry,
and topology) that he believed characterize a beautiful work of art."
The favicon of the Concinnitas Project —
The structure of the Concinnitas favicon —
This structure is from page 15 of
"Diamond Theory," a 1976 preprint —
.
"At the still point of the turning world. Neither flesh nor fleshless;
Neither from nor towards; at the still point, there the dance is,
But neither arrest nor movement. And do not call it fixity,
Where past and future are gathered. Neither movement from nor towards,
Neither ascent nor decline. Except for the point, the still point,
There would be no dance, and there is only the dance."
— T. S. Eliot, Four Quartets
See also a recurrent image
from this journal —
.
The obituary for Sekler is somewhat surprising, given that he
reportedly died on May 1, 2017. His burial is also rather late,
according to the Globe —
"A service has been held for Dr. Sekler . . . .
He will be buried Sept. 29 in a cemetery
in Vienna, in his family’s plot."
"A memorial lecture in his honor is planned for November
at the Harvard Graduate School of Design." — The Globe
"All in good time, my little pretty."
Another design note related to May Day 2017 —
Related material —
A Vanderbilt University article titled "The significance of Sheriff Bell’s
dreams at the end of No Country for Old Men," and an obituary from
a Log24 post, "Extreme Aesthetic Distance," of August 27, 2017 . . .
Naive readers may suppose that this sort of thing is
related to what has been dubbed "geometric group theory."
It is not. See posts now tagged Aesthetic Distance.
"In 1906, after 20 years of artistic works, and at the age of 44,
Hilma af Klint painted the first series of abstract paintings." — Wikipedia
The title phrase is from Rosalind Krauss (Under Blue Cup , 2011) —
Another way of looking at the title phrase —
"A very important configuration is obtained by
taking the plane section of a complete space five-point."
(Veblen and Young, 1910, p. 39) —
For some context, see Desargues + Galois in this journal.
Related material now available online —
A less business-oriented sort of virtual reality —
For example, "A very important configuration is obtained by
taking the plane section of a complete space five-point."
(Veblen and Young, 1910, p. 39)—
The title is from an obituary in tonight's online New York Times.
Information —
See also another art publication cover from 1976 —
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.
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.
Or: Putting the Pinter in Pinterest
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From "A Poem for Pinter" Log24 on Oct. 13, 2005 The Guardian on Harold Pinter, winner of this year's Nobel Prize for Literature: "Earlier this year, he announced his decision to retire from playwriting in favour of poetry," Michael Muskal in today's Los Angeles Times: "Pinter, 75, is known for his sparse and thin style as well as his etched characters whose crystal patter cuts through the mood like diamond drill bits." Robert Stone, A Flag for Sunrise (See Jan. 25): "'That old Jew gave me this here.' Egan looked at the diamond…. 'It's worth a whole lot of money– you can tell that just by looking– but it means something, I think. It's got a meaning, like.' 'Let's see,' Egan said, 'what would it mean?' He took hold of Pablo's hand cupping the stone and held his own hand under it. '"The jewel is in the lotus," perhaps that's what it means. The eternal in the temporal….'" |
See as well an image in a link target from today's noon post —
From a May 15 review of a new book by Douglas Coupland, author of
the 1991 book Generation X: Tales for an Accelerated Culture .
"Minimalists are actually extreme hoarders:
they hoard space." — Douglas Coupland
The title of Coupland's new book suggests a review of Schmeikal
in this journal …
Coupland's above remark on hoarders suggests a look at
a wealthy California collector whom, were he not wealthy,
some might call a hoarder.
“I buy things because they strike an emotional bell,
they appeal to my curiosity, to the thrill of discovery
of the extraordinary in the ordinary,” Mr. Cotsen told
The Denver Post in 1998. “They appeal to my sense
of humor, and to my search for the beauty in simplicity.”
He added, “I decided I had a collection when there was
no more space to put anything.”
By the time he died at 88 on May 8 in Beverly Hills, Calif.,
Mr. Cotsen (pronounced COAT-zen) had donated about
half of the material in his collections to institutions like the
Asian Art Museum in San Francisco, Princeton University
and the Museum of International Folk Art in Santa Fe, N.M.
— Richard Sandomir in the online New York Times , May 17
Cotsen reportedly died at 88 on May 8.
See also this journal on that date —
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Monday, May 8, 2017
New Pinterest Board
|
For example, Plato's diamond as an object to be transformed —
Versions of the transformed object —
See also The 4×4 Relativity Problem in this journal.
Dialogue from the film "Interstellar" —
Cooper: Did it work?
TARS: I think it might have.
Cooper: How do you know?
TARS: Because the bulk beings
are closing the tesseract.
Related material — "Bulk apperception"
in this journal, and …
Some context for the previous post, which was about
a new Art Space Pinterest board —
Pinterest boards uploaded to the new m759.net/piwigo —
Update of May 2 —
Update of May 3 —
Update of May 8 —
Art Space board created at Pinterest
And tomorrow's New York Times
Scene from "Invasion of the Body Snatchers" included in
"The Living Dead," a 1995 BBC TV series by Adam Curtis —
Related material — A post from nine years ago today and
Adam Curtis in tomorrow's New York Times Magazine :
"Several times, Curtis and I circled back to
the notion of the 'hyperobject' — that which
is too big in time and space to comprehend."
See as well the BBC TV series in the previous post, "Boo."
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