302 Th e Knot Book

This book is chock full o f fascinating material . Besides containing excellent presenta -

tions of many of the connections between knots and physics, see Sections 16 and 17 for

an advance d discussio n o n the three-manifol d invariant s tha t hav e com e ou t o f th e

new knot polynomials.

Rolf sen , D. 1976. See references fo r Chapter 1.

Weeks, J. 1985. See references fo r Chapter 5.

Chapter 10

Abbott, E. A. 1952. Flatland. New York: Dover.

This book, which was first published i n 1884, is a mathematical classic. It tells of the

adventures o f A. Square, a creature tha t live s in the two-dimensiona l worl d o f Flat -

land, an d o f hi s introductio n t o th e three-dimensiona l world . A grea t boo k tha t

broaches the idea of high dimensions.

Fox, R. H., 1982. See references fo r Chapter 1.

Lomonaco, S . J . Jr . 1983. Fiv e dimensiona l kno t theory . Contemp. Math.

20:249-270.

A description of how to visualize two-spheres in four-space an d three-spheres in hve-

space.

Rucker, R. 1984. The Fourth Dimension. Boston : Houghton Mifflin .

A fun, relaxed discussion of how to think about higher dimensions. Lots of other great

material about relativity, too.