Log24

Continued from July 26, 2010 —

Cube Bricks 1984 —

Related material —

Note the three quadruplets of parallel edges  in the 1984 figure above.

Further Reading —

The above Gates article appeared earlier, in the June 2010 issue of
Physics World , with bigger illustrations. For instance —

Exercise: Describe, without seeing the rest of the article,
the rule used for connecting the balls above.

Wikipedia offers a much clearer picture of a (non-adinkra) tesseract —

      And then, more simply, there is the Galois tesseract —

For parts of my own  world in June 2010, see this journal for that month.

The above Galois tesseract appears there as follows:

See also the Klein correspondence in a paper from 1968
in yesterday's 2:54 PM ET post. 

The 4×4 square may also be called the Galois Tesseract .
By analogy, the 4x4x4 cube may be called the Galois Hexeract .

"Think outside the tesseract." 

(Continued)

See The Nordic Journal of Aesthetics ,
Vol. 23, No. 42 (2012), pp. 14-31, 
"Art in an Expanded Field: Wittgenstein and Aesthetics,"
by Noël Carroll.

Abstract:

"This article reviews the various ways in which the later writings
of Ludwig Wittgenstein have been employed to address the question
'What is Art?' These include the family resemblance model, the
cluster concept model and the form of life model. The article defends
a version of the form of life approach. Also, addressed the charge that
it would have been more profitable had aestheticians explored what
Wittgenstein actually said about art instead of trying to extrapolate from
his writings an approach to what Nigel Warburton calls the art question."