From:

~~~ Subject:

Congratulations to cubemeisters, LISP Machinists, and Symbolicists

alike for making *Scientific American*.

Now that the LISP Machine has been used to serve the cause of

cubing, has any thought been given to the converse? For example,

perhaps a mouse/joystick-like device could be built based on

cube technology?

Also, anyone thought about the limiting case of odd-shaped

polyhedra: the continuous cube (or, Rubik's sphere)? There are

three possible places to introduce continuity. For a given

twist, one must choose an axis, choose a depth of slice,

and choose an angle of twist. For the cube all three are

quantized. What are the geometric/topological properties

of an object where some subset of these three choices are

given a continuous domain? (I haven't the mathematics undert

my belt to attack this problem -- sorry.)

--Guy