You are a two-dimensional creature living in the skin of a sphere. What would you actually see?
Imagine being the head in the center of the picture at right to find
out!
There are other spaces to imagine as well. If I had the time I'd tell you about all of them; in the meantime, here is the view inside S2xS1. The man in S2xS1 is Clayton Williams, 1990 candidate for Texas governor.
For the record, here is the view inside S1xS1xS1 :
Bonafide, detailed materials are available on request; haven't migrated to the web yet.
Also, see the Shape of Space by Jeff Weeks and the video of the same name produced here at the Geometry Center.
Chaim Goodman-Strauss Dept. Mathematics Univ. Arkansas Fayetteville, AR 72701 cgstraus@comp.uark.edu 501-575-6332
(c)1992-1994 Chaim Goodman-Strauss
Original paper masters available on request.