Friday, April 30, 2021
Points and Coordinates: The Eindhoven Conundrum
Thursday, April 29, 2021
56 Three-Sets, 56 Spreads:
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:
Wednesday, April 28, 2021
Blocks in a Box
In Scientific American today —
For a more sophisticated approach to the phrase
"blocks in a box," search for "the 759 blocks" and
then see box759.wordpress.com.
The mathematics there is based on an apparently
less sophisticated example of "blocks in a box" —
See also Cube Space in this journal.
Parallel Line Fever
By way of comparison, the low road —
By way of contrast, afore ye —
Ronna Reeves in a Log24 post of April 21,”Flashback to 1993:
Yellow Line Fever,” and . . .
. . . An earlier, 1971, rendition of “Even Cowgirls Get the Blues” —
Laurie Bird (1952-1979) on the cover of Esquire’s April 1971 issue.
Related material: Bird Box.
Tuesday, April 27, 2021
Monday, April 26, 2021
Darkly Comic
For Auld Lang Syne —

The New York Times reports an April 18 death:

Desperately Seeking Symmetry
RA Wilson —”[Submitted on 20 Apr 2021 (v1),
last revised 23 Apr 2021 (this version, v2)]”
SH Cullinane — See as well
box759.wordpress.com.
A Memoir of Her Time
Alex Traub in today’s online New York Times —
“Helen Weaver, who fell in love with Jack Kerouac months before
‘On the Road’ rocketed him into the literary stratosphere, and who
53 years later made a record of their romance in an enduring book
of her own, died on April 13 at her home in Woodstock, N.Y.
She was 89.”
“The Beat rebel charmed Ms. Weaver with gentleness.
He agreed to attend a dinner party with Ms. Weaver’s
parents in New Milford, Conn., and began the evening
by asking whether they believed in God.”
“Helen Hemenway Weaver was born on June 18, 1931,
in Madison, Wis. Her father, Warren, was chairman of
the mathematics department at the University of
Wisconsin, and her mother, Mary (Hemenway) Weaver,
was a schoolteacher and later a homemaker.
Helen grew up in Scarsdale, N.Y., where the family had
moved when her father began working as an executive at
the Rockefeller Foundation and other nonprofit organizations.”
In Nomine Patris
The Times‘s Warren link above leads to an obituary of Warren Weaver:
|
He was the author, or co‐author, of books ranging from works on pure science during his early career to “Lady Luck,” a popular discussion of the theory of probability that sold widely in paperback. Wrote About ‘Alice’ Among his other books was “Alice in Many Tongues,” which dealt with foreign translations of “Alice in Wonderland.” He had the largest collection of the writing of Lewis Carroll, the author of “Alice,” now owned by the University of Texas. |
Sunday, April 25, 2021
Saturday, April 24, 2021
23:13
Friday, April 23, 2021
“And . . . Cut!”
The title is a line spoken by an independent film maker
in “The Big Bang” . . . which opened in limited theaters
on May 13, 2011.
Also on May 13, 2011 —
Cross Examination

Related examinations: Space Cross and Wittgenstein’s Picture.
Thursday, April 22, 2021
A New Concrete Model for an Old Abstract Space
The April 20 summary I wrote for ScienceOpen.com suggests
a different presentation of an Encyclopedia of Mathematics
article from 2013 —
(Click to enlarge.)
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) —

Wednesday, April 21, 2021
The Spielvogel Conundrum (Attn: Harlan Kane*)
In memory of an advertising mogul who reportedly died today:
The above Altmetric report is apparently thanks to
my registering with ScienceOpen.com on April 19.


































