Log24

Saturday, May 1, 2021

Geometry Battlefield

Filed under: General — Tags: , — m759 @ 1:33 pm

Friday, April 30, 2021

Box759 Logo

Filed under: General — Tags: — m759 @ 3:52 pm

Continuing Work on Box759:

Filed under: General — Tags: — m759 @ 6:02 am

Thursday, April 29, 2021

56 Three-Sets, 56 Spreads:

Filed under: General — Tags: , , — m759 @ 8:38 pm

The Steiner Quadruple System S(3,4,8)
underlies the Steiner System S(5,8,24).

A previous update to the Oct. 29, 2019, post Triangles, Spreads, Mathieu:

Update of November 2, 2019 —

See also p. 284 of Geometry and Combinatorics:
Selected Works of J. J. Seidel
  (Academic Press, 1991).
That page is from a paper published in 1970.

That page, 284, contained an excerpt from

Bussemaker, F. C., & Seidel, J. J. (1970).
“Symmetric Hadamard matrices of order 36.”
(EUT report. WSK, Dept.of Mathematics and
Computing Science; Vol. 70-WSK-02).
Technische Hogeschool Eindhoven.

That paper is now available online:

https://pure.tue.nl/ws/files/1804543/252823.pdf .

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) —

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