"Holding onto the last of the summer fruit
on the last day of September…" — Lilyjcollins
Tuesday, September 30, 2025
For Gideon Summerfield
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Design Concepts
This post was suggested by the arXiv date of a paper by
Peter J. Cameron on "asymmetric Latin squares" —
8 July 2015 — and by that date in this journal.
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Monday, September 29, 2025
Elegy for an Adman
(Neil Kraft, with a nod to Roger Thornhill)
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(Neil Kraft, with a nod to Roger Thornhill)
(Neil Kraft, with a nod to Roger Thornhill)
Working Blue* Continues: The Long Filename
250928-Honey_Don't-driving-scene-at-about-0.24.52-
with-1.04.34-remaining-paused-at-about-6.30-AM-EDT
-250928.jpg
* Vide August 19, 2023.
Update, 10:15 AM Sept. 29 —
Another sort of Commedia mythspace:
today's update to the previous post.
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Sunday, September 28, 2025
Fundamental Structure: “(7, 3, 1)”
Update on Monday morning, Sept. 29, 2025 —
Related reading . . . Jack Edmonds in Wikipedia and . . .
Edmonds, Jack (1991), "A Glimpse of Heaven,"
in J.K. Lenstra; A.H.G. Rinnooy Kan; A. Schrijver (eds.),
History of Mathematical Programming – A Collection of
Personal Reminiscences, CWI, Amsterdam and North-Holland,
Amsterdam, pp. 32–54
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Structure
The reported June 21, 2016, dies natalis of Ron Shaw
suggests a flashback . . .
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For Day 28 of September 2025: Fundamental Structures
http://m759.net/wordpress/?s="Ron+Shaw" —
The Klein quadric as background for
the Miracle Octad Generator of R. T. Curtis —
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Saturday, September 27, 2025
Four-Color Monolith
Those who find Kubrick's black 2001 monolith too dark
may prefer a more colorful image, taken from yesterday's
post on the Klein correspondence —
|
When?
Going to dark bed there was a square round Where?
— Ulysses , conclusion of Chapter 17. |
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Icon: Roll Credits
And then there is . . . Rube Icon !
This post was suggested by the dies natalis of a figure from
the previous post, one L. S. Dembo.
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Figure
A New York Times obituary on Sept. 21, 2025 —
"… he was an important, if not famous, figure . . . ."
Likewise . . . the figure 25/24, which in decimal form is
1.041666 . . .
"… the form, the pattern . . . ." — T. S. Eliot
The above fraction, or ratio, is a rational number. There are other
numbers that are not rational . . .
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Friday, September 26, 2025
In Memory of Xanadu
Other posts now tagged Mystery of O … and …
Cover design by Greg Stadnyk, available in an animated gif.
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Singage
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Penguin Bridge
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On the Klein Correspondence in Finite Geometry
Illustration using Cullinane's four-color decomposition theorem —
" … fare forward, voyager . . . ." — T. S. Eliot
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Thursday, September 25, 2025
Wednesday, September 24, 2025
♫ “The rain is Tess” — Song lyric
Related Platonic image —
"Red sky at night . . ."
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The Mind Trick in the Attic
"In my experience, every kind of writing requires
some kind of self-soothing Jedi mind trick, and,
when it comes to essay composition,
this rectangle is mine."
— Zadie Smith in The New Yorker, Sept. 22, 2025.
A mind trick that is perhaps less self-soothing —
The dimensional reduction above, from six affine dimensions over
GF(2) to four dimensions, is, like a similar reduction in the previous post,
done by considering only even-sized subsets, then considering as elements
only the boundaries between these subsets and their complements . . .
and the Galois (XOR) sums of those boundaties.
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Annals of Dimensional Reduction:
“Six Dimensions into Three”
http://m759.net/wordpress/?s="six+dimensions+into+three"
The above link is for fans of Richard J. Trudeau's "Story Theory of Truth."
And then from pure mathematics, there is the reduction from eight dimensions
into six of Diamond Theory, in passing from the eight-dimensional affine space
over the two-element Galois field to the six-dimensional affine space used in
Diamond Theory to represent the five-dimensional projective space PG(5,2).
See other posts tagged Klein Space.
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“Six Dimensions into Three”
“Six Dimensions into Three”
Tuesday, September 23, 2025
Found in Translation
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Reality Check: The Windsor Star (LA Version)
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Monday, September 22, 2025
Patterns: “Perceived Coherence”
From a Log24 post of Oct. 22, 2015 —
Software writer Richard P. Gabriel describes some work of design
philosopher Christopher Alexander in the 1960s at Harvard:
The above 35 strips are, it turns out, isomorphic to
the 35 points of of the Klein quadric over GF(2).
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Musical notes for Julie Taymor* — “Mum’s the word”
Dialogue from the 2025 film "Fountain of Youth" —
EXTERIOR
– Mum!
– What?
– It's not maths. The pattern they found. It's not maths.
INTERIOR
– It's no good, Luke. The code's a brick wall.
– Then we've gone wrong somewhere. We're missing something.
– Hey.
– Hello.
– No. I don't wanna hear it.
– Sorry.
– Thomas.
– These seven digits aren't numbers. They're musical notes.
– What?
– Most universal language there is.
* See April 23, 2011.
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Annals of Game Theory —
Trevanian? Doctorow? Nash?
Dialogue in Blade Runner: Black Lotus —
"Do you know who you're starting to sound like?"
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Trevanian? Doctorow? Nash?
Trevanian? Doctorow? Nash?
