Log24

Saturday, June 10, 2023

Tiling Note

Filed under: General — Tags: — m759 @ 10:57 pm

A review by Robert Ghrist of a paper on aperiodic
Wang tilings suggests a search in this journal for Wang tiles.

A resulting image seems appropriate for today's posts,
which include a reference to a renowned Prada-wearer.

"She's like the wind." — Song lyric. See as well Hexagram 57.

Thursday, October 13, 2011

The Lost Cornerstone

Filed under: General — m759 @ 6:29 am

This post was suggested by this morning's New York Times  story on the missing cornerstone of St. Patrick's Cathedral and by the recent design for an official T-shirt celebrating Harvard's 375th anniversary—

http://www.log24.com/log/pix11C/111011-HtshirtSm.jpg

In Harvard's case, the missing piece beneath the cathedral-like spire* is the VERITAS on the college shield.

Possible sources for a shield image representing VERITAS—

1. "Patrick Blackburn" in this journal, which might be combined with

2. Reflections on Kurt Gödel ** by Hao Wang, Chapter 9, "To Fit All the Parts Together"—

"The metaphor of fitting parts together readily suggests
  the concrete image of solving a picture puzzle…." (p. 243)

Or the image of a Wang tiles puzzle.

A graphic image, colorful but garish, that summarizes these two sources—

http://www.log24.com/log/pix11C/111013-WangShield.bmp

  Shield with matching Wang tiles

* The Lowell House bell tower
** MIT Press, first published in 1987

Tuesday, September 21, 2010

Patterns in the Carpets

Filed under: General — m759 @ 1:06 pm

"I know no writing— except perhaps Henry James's introductory essays— which conveys so clearly and with such an absence of fuss the excitement of the creative artist."

— Graham Greene on A Mathematician's Apology , review in The Spectator , 20 December 1940

"The mere quality and play of an ironic consciousness in the designer left wholly alone, amid a chattering unperceiving world, with the thing he has most wanted to do, with the design more or less realised— some effectual glimpse of that might, by itself, for instance, reward one's experiment."

— Henry James, "Prefaces to the New York Edition," in The Figure in the Carpet and Other Stories, Penguin Books, 1986, with introduction and notes by Frank Kermode

"What? You've found a pattern?"

— Greg Egan, "Wang's Carpets"

See also Notes on Mathematics and Narrative, with its discussion of the tiles of the creative artist Patrick Blackburn in the recent (August 2010) Pythagorean novel The Thousand  and the discussion of Wang tiles in Modal Logic,  a  book from November 2002 whose author also happens to be named Patrick Blackburn.

(Credit for the Greene bibliographic information is due to Janelle Robyn Humphreys, whose doctoral thesis, Shadows of Another Dimension, was published in 2009 by the University of Wollongong.)

Tuesday, October 22, 2024

Depth

Filed under: General — Tags: , , — m759 @ 3:08 am

James Hillman
EGALITARIAN TYPOLOGIES
VERSUS THE PERCEPTION OF THE UNIQUE

“The kind of movement Olson urges is an inward deepening of the image,
an in-sighting of the superimposed levels of significance within it.
This is the very mode that Jung suggested for grasping dreams —
not as a sequence in time, but as revolving around  a nodal complex.”

See as well "True Grids" (Log24, August 9, 2018).

The Wikipedia "Truchet tiles" article shown above illustrates Hillman's
"superimposed levels of significance."

For more levels, see Wang on Gõdel and other posts tagged For Stella Maris.

Monday, September 9, 2024

For “The Perfect Couple” —  Facets and Labyrinth

Filed under: General — Tags: — m759 @ 5:58 am

Wednesday, November 4, 2020

Devil’s Night Game

Filed under: General — Tags: — m759 @ 6:32 am

From  Devil’s Night Art Notes

Create the largest colour fields and win!

The MOZAA (pronounced Mo’s-A-A ? ) game was reportedly
published on April 1, 2013.  A note from this  journal on that date —

Friday, October 30, 2020

Devil’s Night Art Notes

Filed under: General — m759 @ 2:19 pm

From this journal on November 19, 2018

An art-related game for The Man with Red Eyes  —

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