Log24

Thursday, April 23, 2020

Octads and Geometry

Filed under: General — Tags: , , , — m759 @ 10:11 PM

See the web pages octad.group and octad.us.

Related geometry (not the 759 octads, but closely related to them) —


The 4×6 rectangle of R. T. Curtis
illustrates the geometry of octads —

Counting symmetries with the orbit-stabilizer theorem

Curtis splits the 4×6 rectangle into three 4×2 “bricks” —

.

“In fact the construction enables us to describe the octads
in a very revealing manner. It shows that each octad,
other than Λ1, Λ2, Λ3, intersects at least one of these ‘ bricks’ —
the ‘heavy brick’ – in just four points.” . . . .

— R. T. Curtis (1976). “new combinatorial approach to M24,”
Mathematical Proceedings of the Cambridge Philosophical Society ,
79, pp 25-42.

Dead Poet Joke

Filed under: General — Tags: , , , — m759 @ 8:42 PM

From the subtitles of the recent Kristen Stewart film “Underwater” —

427
00:30:26,144 –> 00:30:27,476
He’d always say
he had a new joke,

428
00:30:27,478 –> 00:30:29,445
and then he’d tell
the same stupid joke.

429
00:30:29,447 –> 00:30:32,785
I was… laughing at that joke.

430
00:30:34,053 –> 00:30:35,685
Yeah, what was it?

431
00:30:35,687 –> 00:30:38,654
What did the fish say when
it bumped into the brick wall?

April 11 was the dies natalis , in the Catholic sense, of John Horton Conway.
Related material: Other posts containing the phrase  “brick wall.”

Saturday, November 9, 2019

Wall

Filed under: General — Tags: , — m759 @ 6:34 AM
 

"Nor again will I pretend that, as Bacon asserts, `the pleasure and delight of knowledge and learning far surpasseth all other in nature'. This is too much the language of a salesman crying his own wares. The pleasures of the intellect are notoriously less vivid than either the pleasures of sense or the pleasures of the affections; and therefore, especially in the season of youth, the pursuit of knowledge is likely enough to be neglected and lightly esteemed in comparison with other pursuits offering much stronger immediate attractions. But the pleasure of learning and knowing, though not the keenest, is yet the least perishable of pleasures; the least subject to external things, and the play of chance, and the wear of time. And as a prudent man puts money by to serve as a provision for the material wants of his old age, so too he needs to lay up against the end of his days provision for the intellect. As the years go by, comparative values are found to alter: Time, says Sophocles, takes many things which once were pleasures and brings them nearer to pain. In the day when the strong men shall bow themselves, and desire shall fail, it will be a matter of yet more concern than now, whether one can say `my mind to me a kingdom is'; and whether the windows of the soul look out upon a broad and delightful landscape, or face nothing but a brick wall."

– A.E. Housman, Inaugural Lecture as Professor of Latin,
University College, London, 1892
, as quoted at . . .

http://spenceralley.blogspot.com/2016/01/
housman-manifesto.html

Tuesday, March 7, 2017

Signature Backdrop

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

"The Bitter End’s signature stage backdrop —
a bare 150-year-old brick wall — helped distinguish it from
other popular bohemian hangouts like the Village Gate  
and the Village Vanguard. It appeared on the cover of
Peter, Paul and Mary’s first album."

The New York Times  this evening on a Sunday death

Commentary

“Looking carefully at Golay’s code is like staring into the sun.”

— Richard Evan Schwartz

See also Schwartz in "The Omega Matrix," a post of 5 PM ET Sunday:

Wednesday, February 19, 2014

The Bitter Beginning

Filed under: General — m759 @ 11:00 PM

See also a related brick wall.

Some context: Small World (July 12, 2004)
and Moss on the Wall (Sept. 10, 2013).

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