Date: 16 February 1981 1229-EST (Monday) From: Guy.Steele at CMU-10A To: bug-lispm at MIT-AI, cube-lovers at MIT-MC Subject: Scientific American Message-Id: <16Feb81 122922 GS70@CMU-10A> 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