Log24

Monday, August 12, 2019

Never-Ending Toy Story

Filed under: General — Tags: , — m759 @ 1:40 PM

" … this beautiful love story . . . ."

An image from the previous post:

The above line "From the producer of Transformers " suggests
a story from March 18, 2019 . . .

      Misreading the words of di Bonaventura
yields a phrase that might be applied to 
the Church of Rome . . .
     "A franchise based on release dates." 
See dies natalis  in this journal.

     For the Church of Synchronology, see
the above di Bonaventura date, March 18.

     Then there is the Church of Cubism . . .

     "Before time began, there was the Cube."
     — Optimus Prime, Transformers , 2007

Oslo Variations

Filed under: General — Tags: — m759 @ 1:21 AM

An illustration (slightly revised) from All Souls' Day 2010

Click to enlarge.

An illustration from a post of January 11, 2019 —

Advertisement for another January 11, 2019, event —

For related cinematic remarks, see Dabbling in this journal.

Friday, January 18, 2019

The Woke Grids …

Filed under: General — Tags: , — m759 @ 10:45 AM

… as opposed to The Dreaming Jewels .

A July 2014 Amsterdam master's thesis on the Golay code
and Mathieu group —

"The properties of G24 and M24 are visualized by
four geometric objects:  the icosahedron, dodecahedron,
dodecadodecahedron, and the cubicuboctahedron."

Some "geometric objects"  — rectangular, square, and cubic arrays —
are even more fundamental than the above polyhedra.

A related image from a post of Dec. 1, 2018

Saturday, January 12, 2019

The Spinning

Filed under: General — Tags: — m759 @ 11:17 AM

 

See also Atiyah and Shaw.

 
 

Friday, January 11, 2019

Permutations at Oslo

Filed under: General — Tags: , — m759 @ 8:45 PM

Webpage at Oslo of Josefine Lyche, 'Plato's Diamond'

See also yesterday's  Archimedes at Hiroshima  and the
above 24 graphic permutations on  All Souls' Day 2010.

For some backstory, see Narrative Line (November 10, 2014).

 
 

Thursday, January 10, 2019

Archimedes at Hiroshima

Filed under: General,Geometry — Tags: , , , — m759 @ 7:35 PM

Two examples from the Wikipedia article  "Archimedean solid" —

Iain Aitchison said in a talk last year at Hiroshima that
the Mathieu group M24  can be represented as permuting
naturally the 24 edges  of the cuboctahedron.

The 24 vertices  of the truncated  octahedron are labeled 
naturally by the 24 elements of S4  in a permutahedron

Can M24  be represented as permuting naturally
the 24 vertices  of the truncated octahedron?

 
 

Reality at Virginia Tech:

Filed under: General — Tags: — m759 @ 6:40 PM

The Takeuchi Question —

From remarks at Miami last December:

A similiar question about the Fano plane —

Can we make the model more "real"?

From remarks here last November:

Toy Story Continues.

Filed under: General — Tags: — m759 @ 11:13 AM

Takeuchi, Miami 2018- Spekkens's Toy Model and Vector Spaces over Galois Fields

See also Spekkens in this  journal.

Wednesday, January 9, 2019

Valid States of Maximal Knowledge

Filed under: General — Tags: — m759 @ 9:30 PM

"Few scripts would have the audacity
to have the deus ex machina be
Captain Midnight  decoder ring."

Review of "The House with
a Clock in Its Walls" (2018 film) 

Related mathematics (click to enlarge) . . .

The "uwa.edu.au" above is for the University of Western Australia.
See the black swan in its coat of arms (and in the above film).

Monday, November 10, 2014

Narrative Line

Filed under: General,Geometry — Tags: , , — m759 @ 11:02 PM

"We live entirely, especially if we are writers, by the imposition
of a narrative line upon 
disparate images…." — Joan Didion

Narrative Line:

IMAGE- R. D. Carmichael's 1931 construction of the Steiner system S(5, 8, 24)

IMAGE- Harvard senior Jeremy Booher in 2010 discusses Carmichael's 1931 construction of S(5, 8, 24) without mentioning Carmichael.

Disparate images:

Exercise:

Can the above narrative line be imposed in any sensible way
upon the above disparate images?

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