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Tuesday, April 27, 2021

New Site

Filed under: General — Tags: , — m759 @ 7:02 pm

Thursday, April 22, 2021

A New Concrete Model for an Old Abstract Space

Filed under: General — Tags: , , — m759 @ 4:31 am

The April 20 summary I wrote for ScienceOpen.com suggests
a different presentation of an Encyclopedia of Mathematics
article from 2013 —

(Click to enlarge.)

Introduction to the Square Model of Fano's 1892 Finite 3-Space

Keywords: PG(3,2), Fano space, projective space, finite geometry, square model,
Cullinane diamond theorem, octad group, MOG.

Cite as

Cullinane, Steven H. (2021).
“The Square Model of Fano’s 1892 Finite 3-Space.”
Zenodo. 
https://doi.org/10.5281/zenodo.4718182 .

An earlier version of the square model of PG(3,2) —

Monday, April 19, 2021

Diamond Theorem at ScienceOpen

Filed under: General — Tags: , , — m759 @ 1:22 pm

Update on April 20, 2021 —
The following was added today to the above summary:

“It describes a group of 322,560 permutations, later known as
‘the octad group,’ that now plays a role in speculative high-energy physics.
See Moonshine, Superconformal Symmetry, and Quantum Error Correction .”

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