Log24

Monday, December 19, 2016

Tetrahedral Cayley-Salmon Model

Filed under: General,Geometry — Tags: , — m759 @ 9:38 AM

The figure below is one approach to the exercise
posted here on December 10, 2016.

Tetrahedral model (minus six lines) of the large Desargues configuration

Some background from earlier posts —


IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

Click the image below to enlarge it.

Polster's tetrahedral model of the small Desargues configuration

Wednesday, April 14, 2021

Raiders of the Lost Coordinates . . .

Filed under: General — m759 @ 3:10 PM

Continues.

A pyramid scheme in memory of the late Bernie Madoff —

The above passage from Whitehead’s 1906 book suggests
that the tetrahedral model may be older than Polster thinks.*

This is shown by . . .

See also “Profzi Scheme.”

* For some related work of the above “D. Mesner,” see
Mesner, D. (1967). “Sets of Disjoint Lines in PG(3, q),”
Canadian Journal of Mathematics, 19, 273-280.

Wednesday, February 17, 2021

Raiders of the Lost Coordinates . . .

Filed under: General — Tags: — m759 @ 8:13 PM

Continues.

From posts tagged Tetrahedron vs. Square —

There is  such a thing as a 4-set.
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail  a  from the above tetrahedral figure) —

A Harvard Variation
from Timothy Leary —

The topics of Harvard and Leary suggest some other cultural
history, from The CoastersPoison Ivy and “Yakety Yak.”

Tuesday, October 15, 2019

Inside the Fire Temple

Filed under: General — Tags: , — m759 @ 8:00 PM

(The title refers to Log24 posts now tagged Fire Temple.)

In memory of a  New Yorker  cartoonist who
reportedly died at 97 on October 3, 2019  …

"Read something that means something." 
New Yorker  advertising slogan

From posts tagged Tetrahedron vs. Square

This  journal on October 3

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail   from the above tetrahedral figure) —

Tuesday, September 24, 2019

Emissary

Filed under: General — Tags: , , — m759 @ 8:04 PM
 

Thursday, September 12, 2019

Tetrahedral Structures

Filed under: General — Tags:  —
m759 @ 8:11 PM 

In memory of a Church emissary  who reportedly died on  September 4 . . . .

Playing with shapes related to some 1906 work of Whitehead:

Tuesday, September 6, 2016

Ethno-Aesthetics

Filed under: General,Geometry — m759 @ 3:04 PM

"Lévi-Strauss is an infatuated aesthetician."

 — Boris Wiseman, Lévi-Strauss, Anthropology and Aesthetics ,
     Cambridge University Press, 2007, p. 27

Last night's link from the Piper Laurie image leads to …

IMAGE- Stella Octangula and Claude Levi-Strauss

Related theoretical material — See Hudson + Tetrahedra.

Sunday, July 17, 2016

Symmetries and Correspondences

Filed under: General — m759 @ 8:19 AM

Continued from  July 14, 2016


 

Symmetries and Correspondences in 1879 —

Cyparissos Stephanos
Sur les systèmes desmiques de trois tétraèdres
Bulletin des sciences mathématiques
et astronomiques 2e série
,
Tome 3, No. 1 (1879), pp. 424-456.
<http://www.numdam.org/item?id=BSMA_1879_2_3_1_424_1>
© Gauthier-Villars, 1879, tous droits réservés.


 

Symmetries and Correspondences in 1905 —

Tuesday, March 19, 2013

Mathematics and Narrative (continued)

Filed under: General,Geometry — Tags: , , — m759 @ 10:18 AM

Angels & Demons meet Hudson Hawk

Dan Brown's four-elements diamond in Angels & Demons :

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

The Leonardo Crystal from Hudson Hawk :

Hudson:

Mathematics may be used to relate (very loosely)
Dan Brown's fanciful diamond figure to the fanciful
Leonardo Crystal from Hudson Hawk 

"Giving himself a head rub, Hawk bears down on
the three oddly malleable objects. He TANGLES 
and BENDS and with a loud SNAP, puts them together,
forming the Crystal from the opening scene."

— A screenplay of Hudson Hawk

Happy birthday to Bruce Willis.

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