260816-Revised-Google-Notebook-AI-summary-
after-new-source-added.jpg —
For the new source itself, see the previous post.
The second sentence should be rewritten . . .
"… the mapping of 4×4 square patterns, where the permutations
of rows, columns, and columns correspond to specific affine
group actions, onto the geometric structure of PG(3,2)."
An illustration of this mapping from a July 12, 2012, post—
The 35 lines in the 3-dimensional Galois projective space PG(3,2)—
_lines_as_arrays.jpg)
In related news . . .
" 'Come on, make it an even one hundred thousand dollars,'
he might tease a familiar buyer.
'It’ll sound better when you tell your friends.' "
In related art . . .
The above sentence "Article déposé le 20 décembre 2006" suggests
a quote from this journal on that date . . .
"For every kind of vampire,
there is a kind of cross."
— Thomas Pynchon
URL from this evening —
https://www.nytimes.com/2026/05/21/arts/valie-export-dead.html
The obituary subject reportedly died on May 15, 2026.
In memoriam:
260521-Art-Space-memorial-excerpt-from-May_15_2026-posts.jpg
The number of subsquares in each large square
below is a prime power. Therefore each large square
is a Galois space.
Related material at NotebookLM —
http://log24.com/log25/
250917-'Diamond_Theory-NotebookLM'-notebooklm.google.com.pdf
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From Gilles Châtelet, Introduction to Figuring Space Metaphysics does have a catalytic effect, which has been described in a very beautiful text by the mathematician André Weil: Nothing is more fertile, all mathematicians know, than these obscure analogies, these murky reflections of one theory in another, these furtive caresses, these inexplicable tiffs; also nothing gives as much pleasure to the researcher. A day comes when the illusion vanishes: presentiment turns into certainty … Luckily for researchers, as the fogs clear at one point, they form again at another.4 André Weil cuts to the quick here: he conjures these 'murky reflections', these 'furtive caresses', the 'theory of Galois that Lagrange touches … with his finger through a screen that he does not manage to pierce.' He is a connoisseur of these metaphysical 'fogs' whose dissipation at one point heralds their reforming at another. It would be better to talk here of a horizon that tilts thereby revealing a new space of gestures which has not as yet been elucidated and cut out as structure. 4 A. Weil, 'De la métaphysique aux mathématiques', (Oeuvres, vol. II, p. 408.) |
For gestures as fogs, see the oeuvre of Guerino Mazzola.
For some clearer remarks, see . . .
Illustrations of object and gestures
from finitegeometry.org/sc/ —
Object
Gestures
An earlier presentation
of the above seven partitions
of the eightfold cube:
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Related material: Galois.space .
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