Ham Sandwich Theorem

The volumes of any -D solids can always be simultaneously bisected by a -D Hyperplane. Proving thetheorem for (where it is known as the Pancake Theorem) is simple and can be found in Courant and Robbins(1978). The theorem was proved for by Stone and Tukey (1942).

References

Chinn, W. G. and Steenrod, N. E. First Concepts of Topology. Washington, DC: Math. Assoc. Amer., 1966.

Courant, R. and Robbins, H. What is Mathematics?: An Elementary Approach to Ideas and Methods. Oxford, England: Oxford University Press, 1978.

Davis, P. J. and Hersh, R. The Mathematical Experience. Boston, MA: Houghton Mifflin, pp. 274-284, 1981.

Hunter, J. A. H. and Madachy, J. S. Mathematical Diversions. New York: Dover, pp. 67-69, 1975.

Stone, A. H. and Tukey, J. W. ``Generalized `Sandwich' Theorems.'' Duke Math. J. 9, 356-359, 1942.

• Polyhedron
• Polyhedron Coloring
• Polyhedron Compound
• Polyhedron Dissection
• Polyhedron Dual
• Polyhedron Hinging
• Polyhedron Packing
• Polyhex
• Polyiamond
• Polyking
• Polylogarithm
• Polymorph
• Polynomial
• Polynomial Bar Norm
• Polynomial Bracket Norm
• Polynomial Curve
• Polynomial Factor
• Polynomial Norm
• Polynomial Remainder Theorem
• Polynomial Ring
• Polynomial Root
• Polynomial Series
• Polyomino
• Polyomino Tiling
• Polyplet