Foreword by Sir Michael Atiyah —

“Poincaré said that science is no more a collection of facts

than a house is a collection of bricks. The facts have to be

ordered or structured, they have to fit a theory, a construct

(often mathematical) in the human mind. . . .

… Mathematics may be art, but to the general public it is

**a black art, more akin to magic and mystery**. This presents

a constant challenge to the mathematical community: to

explain how art fits into our subject and what we mean by beauty.

In attempting to bridge this divide I have always found that

architecture is the best of the arts to compare with mathematics.

The analogy between the two subjects is not hard to describe

and enables abstract ideas to be exemplified by bricks and mortar,

in the spirit of the Poincaré quotation I used earlier.”

— Sir Michael Atiyah, “The Art of Mathematics”

in the *AMS Notices *, January 2010

Judy Bass, *Los Angeles Times* , March 12, 1989 —

“Like Rubik’s Cube, *The Eight* demands to be pondered.”

**As does a figure from 1984, Cullinane’s Cube —**

*For natural group actions on the Cullinane cube,*

see “The Eightfold Cube” and

“A Simple Reflection Group of Order 168.”

**See also the recent post Cube Bricks 1984 —**

**Related remark from the literature —**

Note that only the static structure is described by Felsner, not the

168 group actions discussed by Cullinane. For remarks on such

group actions in the literature, see “Cube Space, 1984-2003.”

(From Anatomy of a Cube, Sept. 18, 2011.)