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Monday, March 11, 2024

Fundamental Figurate Geometry: Triangle Subdivision

Filed under: General — Tags: , , — m759 @ 5:41 am

Click to enlarge.

See as well "Triangles are Square," at
http://finitegeometry.org/sc/16/trisquare.html.

(I happened to find the Basu-Owen paper tonight
via a Google image search for "congruent subsets" . . .
as opposed to the "congruent subarrays" of
the previous post.)

Update of 3:54 PM ET Monday, March 11, 2024 —

This Stanford version of my square-to-triangle mapping
is the first publication in a new Zenodo community —

Citation for the research note:
Cullinane, Steven H. (2024). Fundamental Figurate Geometry:
Triangle Subdivision (Version 2). Zenodo.
https://doi.org/10.5281/zenodo.10822848
(latest version as of March 15, 2024)
 

Sunday, March 10, 2024

Permutations of Congruent Subarrays

Filed under: General — Tags: , , , — m759 @ 4:56 pm

The groups generated as above are affine groups in finite geometries.

What other results are known from this area of research,
which might be called "groups generated by permutations of
congruent subarrays"? (Search phrase: "congruent subarrays")

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