The above reported death was on Sunday, Feb. 24.
See that date in other posts now tagged Hexengown.
Thursday, February 28, 2019
Where Fashion Sits
Previn’s Wake
A search for Previn in this journal yields . . .
"whyse Salmonson set his seel on a hexengown,"
Finnegans Wake , Book II, Episode 2, pp. 296-297
Wikipedia Scholarship
Besides omitting the name Cullinane, the anonymous Wikipedia author
also omitted the step of representing the hypercube by a 4×4 array —
an array called in this journal a Galois tesseract.
Fooling
The two books pictured above are From Discrete to Continuous ,
by Katherine Neal, and Geometrical Landscapes , by Amir Alexander.
Note: There is no Galois (i.e., finite) field with six elements, but
the theory of finite fields underlies applications of six-set geometry.
Wednesday, February 27, 2019
Construction of PG(3,2) from K6
From this journal on April 23, 2013 —
From this journal in 2003 —
From Wikipedia on Groundhog Day, 2019 —
Tuesday, February 26, 2019
Annals of Philology
"What kind of person bokehs an inscape?"
— Question adapted from the weblog Barefooted Philologists
An illustration (click to enlarge) —
Axis of Anti-Evil?
"ACTUALLY HAPPENED!"
Wolff reportedly did on Sunday, Feb. 17.
For the Church of Synchronology —
Log24 posts on the reported date of Wolff's death.
Related Log24 post — Good News and Bad News.
Wolff himself, in a weblog post of Oct. 16, 2017,*
had some trenchant comments on religion . . .
See "How Odd of God." (See as well today's midnight
post in this journal, "Ghost in the Shell.")
* "Broomsday." See also Log24 posts on that date.
Citation
Some related material in this journal — See a search for k6.gif.
Some related material from Harvard —
Elkies's "15 simple transpositions" clearly correspond to the 15 edges of
the complete graph K6 and to the 15 2-subsets of a 6-set.
For the connection to PG(3,2), see Finite Geometry of the Square and Cube.
The following "manifestation" of the 2-subsets of a 6-set might serve as
the desired Wikipedia citation —
See also the above 1986 construction of PG(3,2) from a 6-set
in the work of other authors in 1994 and 2002 . . .
-
Gonzalez-Dorrego, Maria R. (Maria del Rosario),
(16,6) Configurations and Geometry of Kummer Surfaces in P3.
American Mathematical Society, Providence, RI, 1994. -
Dolgachev, Igor, and Keum, JongHae,
"Birational Automorphisms of Quartic Hessian Surfaces."
Trans. Amer. Math. Soc. 354 (2002), 3031-3057.
Monday, February 25, 2019
A Nervy Makeover is Born
The previous post suggests a review —
Karaoke Specials
https://www.karaoke-lyrics.net/lyrics/brickell-edie/what-i-am-132251
See as well . . .
From a 2003 film —
Social Networks
CCA as a fictional Communications Corporation of America —
CCA as a non-fictional Centre for Contemporary Art —
Sunday, February 24, 2019
Lost in Rashomon
" What this research implies is that we are not just hearing different 'stories'
about the electron, one of which may be true. Rather, there is one true story,
but it has many facets, seemingly in contradiction, just like in 'Rashomon.' "
— Edward Frenkel on "the Rashomon effect"
"Program or be programmed." — The Rushkoff Maxim
Saturday, February 23, 2019
Code Rain
See 031105-code in this journal, the Wachowskis
at Wikipedia, and The Omega Matrix in this journal.
Austrian Wins Kyoto Prize (Revisited)
For the title, see Schwarzenegger and "Clockwork Orange"
in the June 2005 post "All in the Timing."
Related music — Taps for Donen —
Donen reportedly died on Thursday.
See this journal on that day for a related
New York Times meditation.
Eye-Popping Imagery and Consciousness as a Whole
Hello Darkness*
Friday, February 22, 2019
Back Issues of AMS Notices
From the online home page of the new March issue —
For instance . . .
Related material now at Wikipedia —
Desperately Seeking Comedy
"I need a photo opportunity . . ." — Paul Simon
Space Force
See also this journal on the above date — Feb. 28, 2018.
This post was suggested by a Crimson piece from yesterday —
Happy Birthday, George Washington
Annals of Entertainment
See also a post of August 8, 2018, "Annals of Phenomenology."
Thursday, February 21, 2019
Gaslighting America
From The Atlantic September 2017 issue — "How America Lost Its Mind,"
by former Harvard Lampoon writer Kurt Andersen —
Note the accusing phrase "a suspicion of science and reason."
Related material by Andersen received in today's mail —
Note the accusing phrase "the cyanide in Donald Trump's Kool-Aid."
Related graphic design —
The source of the above cover art —
Wednesday, February 20, 2019
Wordsworth at the Academy
Tuesday, February 19, 2019
Monday, February 18, 2019
For Times Square…
and the Church of Synchronology
The date of the Urban Dictionary "Joy of Six"
article in this afternoon's previous post was Oct. 15, 2016.
A check of that date in this journal yielded a post titled "Word and Object"
that featured an image of a sailor in Times Square.
Related material encountered later this afternoon —
From the "Word and Object" post —
The Joy of Six
__________________________________________________________________________
See also the previous post.
I prefer the work of Josefine Lyche on the smallest perfect number/universe.
Context —
Lyche's Lynx760 installations and Vigeland's nearby Norwegian clusterfuck.
Quantum Choreography
In the beginning of the 1954 film "Seven Brides for Seven Brothers,"
Adam, oldest of the brothers, is paired with Milly. The problem then is
to find brides for Adam's six brothers.
Above is a video illustration, published on Aug. 12, 2016, of the six couples.
Matching them involves some choreography.
See also this journal on Aug. 12, 2016 — "Dustbucket Physics" —
"… through the proposition machine of quantum mechanics
comes pregeometry; pregeometry makes geometry;
geometry gives rise to matter and the physical laws
and constants of the universe."
— Harvard professor Peter Galison,
defender of the faith of Scientism
For a different sort of quantum "proposition machine," see posts tagged
Dirac and Geometry.
Sacerdotal K6, Continued
Sunday, February 17, 2019
Sacerdotal K6
For the Schoolgirls of 1959
The dies natalis of St. Buddy Holly was Feb. 3, 1959.
This year on Feb. 3, a geometric illustration of the well-known
schoolgirl problem was added to a brand-new Wikipedia article
on the finite geometry PG(3,2).
See Also …
"And the Führer digs for trinkets in the desert."
"See also Acht "
— Cambridge German-English Dictionary, article on "Elf "
Saturday, February 16, 2019
“Always with a little humor” — Dr. Yen Lo
Bunker Bingo Continues.
From a post of October 16, 2017, "Halloween Meditation" —
Melancholy for Dürer
Friday, February 15, 2019
The Gifts Reserved for Age
"But, as the passage now presents no hindrance
To the spirit unappeased and peregrine
Between two worlds become much like each other…."
Related obituary:
https://www.nytimes.com/2019/02/15/obituaries/tom-cade-dead.html
Related date:
"as of Feb. 6, 2019" (from a post at 12 AM ET Feb. 7) —
"There is such a thing as a four-dimensional finite affine space."
— Saying adapted from a 1962 young-adult novel by Madeleine L'Engle
A Simple Interlacing
Paul Valéry, "Introduction to the Method of Leonardo da Vinci,"
La Nouvelle Revue , Paris, Vol. 95 (1895)—
"Regarded thus, the ornamental conception is to the individual arts
what mathematics is to the other sciences. …the objects chosen
and arranged with a view to a particular effect seem as if disengaged
from most of their properties and only reassume them in the effect,
in, that is to say, the mind of the detached spectator. It is thus
by means of an abstraction that the work of art can be constructed,
and is more or less easy to define according as the elements borrowed
from reality for it are more or less complex. Inversely it is by a sort of
induction, by the production of mental images, that all works of art are
appreciated, and this production must equally be more or less active,
more or less tiring, according as it is set in motion by a simple interlacing
on a vase or a broken phrase by Pascal."
— Translated by Thomas McGreevy (Valéry's Selected Writings,
New Directions, 1950)
Related art —
-
Departure dates in "Where Gravity Makes You Float,"
by Oslo artist Josefine Lyche - Apollo and Niobe at the Meadow
- "Enter the Matrix" game
New Services
From today's online Boston Globe —
See also Wechsler + Siri in this journal and a post from
the date of Dr. Gunderson's death, January 11, 2019 —
Thursday, February 14, 2019
Wednesday, February 13, 2019
April 18, 2003 (Good Friday), Continued
"The purpose of mathematics cannot be derived from an activity
inferior to it but from a higher sphere of human activity, namely,
religion."
— Igor Shafarevitch, 1973 remark published as above in 1982.
"Perhaps."
— Steven H. Cullinane, February 13, 2019
From Log24 on Good Friday, April 18, 2003 — . . . What, indeed, is truth? I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown. For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma. See, too, In Principio Erat Verbum , which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.” Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day. See
“Examples are the stained glass windows Motto of Plato’s Academy † The Exorcist, 1973 |
Detail from an image linked to in the above footnote —
"And the darkness comprehended it not."
Id est :
A Good Friday, 2003, article by
a student of Shafarevitch —
"… there are 25 planes in W . . . . Of course,
replacing {a,b,c} by the complementary set
does not change the plane. . . ."
Of course.
See. however, Six-Set Geometry in this journal.
Tuesday, February 12, 2019
A Long Time
This journal on the above date, October 17, 2008 —
“Every musician wants to do something of lasting quality,
something which will hold up for a long time, and
I guess we did it with ‘Stairway.'”
— Jimmy Page on “Stairway to Heaven“
Scholium —
"Kummer " in German means "sorrow."
Related material —
Other posts now tagged Dolmen.
A Dolmen for Ungerer
Monday, February 11, 2019
Better Call Saul
"Christmas in February!" — SNL cold open, Feb. 9
Detail, online New York Times front page,
Saint Bridget's Day (Feb. 1), 2013 —
See also Nietzsche and modal logic.
Sunday, February 10, 2019
Cold Open
The previous post, on the Bauhaus 100th anniversary, suggests a review . . .
"Congratulations to the leaders of both parties:
The past 20 years you’ve taken us far.
We’re entering Weimar, baby."
— Peggy Noonan in The Wall Street Journal
on August 13, 2015
Image from yesterday's Log24 search Bauhaus Space.
Saturday, February 9, 2019
Lintel
In memory of Albert Finney's role as an architect
in "Two for the Road," see Lintel in this journal.
Related material: Finney in "The Green Man" and
RIP: The Peace of Pi.
Friday, February 8, 2019
Thursday, February 7, 2019
Geometry of the 4×4 Square: The Kummer Configuration
From the series of posts tagged Kummerhenge —
A Wikipedia article relating the above 4×4 square to the work of Kummer —
A somewhat more interesting aspect of the geometry of the 4×4 square
is its relationship to the 4×6 grid underlying the Miracle Octad Generator
(MOG) of R. T. Curtis. Hudson's 1905 classic Kummer's Quartic Surface
deals with the Kummer properties above and also foreshadows, without
explicitly describing, the finite-geometry properties of the 4×4 square as
a finite affine 4-space — properties that are of use in studying the Mathieu
group M24 with the aid of the MOG.