Cubes
8. References
Beck, A. and M. Bleicher, and D. Crowe, Excursions into Mathematics, Millennium Edition, A K Peters, Natick, 2000.
Coxeter, H., Regular Polytopes, Third Edition, Dover, New York, 1973.
Crowe, D., The ndimensional cube and the Tower of Hanoi, Amer. Math. Monthly, 63 (1956) 2930.
Dixon, E. and S. Goodman, On the number of Hamiltonian circuits in the ncube, Pro. AMS, 50 (1975) 500504.
Gardner, M., The Scientific American Book of Mathematical Puzzles and Diversions, Simon and Schuster, New York, 1959.
Gardner, M., The 2nd Scientific American Book of Puzzles and Diversions, Simon and Schuster, New York, 1961
Gardner, M., Mathematical Carnival, Alfred Knopf, New York, 1975.
Klee, V. and G. Minty, How Good is the Simplex Algorithm?, in Inequalities III, O. Shinsha (ed.), Academic Press, New York, 1972.
Manning, H., The Fourth Dimension Simply Explained, Dover, New York, 1960.
Mills, W., Some complete cycles on the ncube, Proc. AMS, 14 (1963) 640643.
Sommerville, D., An Introduction to the Geometry of N Dimensions, Dover, New York, 1958.
Steele, J., Shortest paths through pseudorandom points in the dcube, Proc. AMS, 80 (1980) 130134.
Those who can access JSTOR can find some of the papers mentioned above there. For those with access, the American Mathematical Society's MathSciNet can be used to get additional bibliographic information and reviews of some of these materials.

Introduction

Some history

The 3dimensional cube

Combinatorial perspectives on cubes

A recursive way of constructing cubes

Cube puzzles

Symmetries of the cube

The SharirZiegler cube

References

Welcome to the
Feature Column!
These web essays are designed for those who have already discovered the joys of mathematics as well as for those who may be uncomfortable with mathematics.
Read more . . .
Feature Column at a glance
