Contents Introduction The Five Platonic Solids The Thirteen Archimedean Solids Prisms, Antiprisms, and Other Polyhedra The Four Kepler-Poinsot Solids Other Stellations or Compounds Some Other Uniform Polyhedra Conclusion Notes Bibliography Photographs: Stanley Toogood’s International Film Productions, Nassau, Bahamas

Polyhedron Models for the Classroom by Magnus J. Wenninger

Bibliography

BALL, W. W. R., and COXETER, H. S. M. Mathematical Recreations and Essays. New York: The Macmillan Co., 1956. Chap. v, “Polyhedra.”

BRUECKNER, MAx. Vielecke und Vielflache. Leipzig: Teubner, 1900.

COXETER, H. S. M. Regular Polytopes (2nd ed.). New York: The Macmillan Co., 1963.

COXETER, H. S. M., DUVAL, P., FLATHER, H. T., and PETRIE, J. F. The Fifty-nine Icosahedra. (“Mathematical Series,” No. 6.) Toronto: University of Toronto Press, 1938.

COXETER, H. S. M., LONGUET-HIGGINS, M. S., and MILLER, J. C. P. Uniform Polyhedra. (“Philosophical Transactions of the Royal Society of London,” Ser. A, Vol. CCXLVI, No. 196.) London: Cambridge University Press, 1954. [This book can be ordered from The Royal Society, Burlington House, London W. 1, England.] CUNDY, H. M., and ROLLETT, A. P. Mathematical Models (2nd ed.). New York: Oxford University Press, 1961.

LINES, L. Solid Geometry. New York: Dover Publications, 1965. Chap. xi, “Polyhedra”; chap. xii, “Semiregular and Star Polyhedra.” LYUSTERNIK, L. A. Convex Figures and Polyhedra. Translated by T. JEFFERSON SMITH. New York: Dover Publications, 1963.

STEINHAUS, H. Mathematical Snapshots (2nd ed). New York: Oxford University Press, 1960. Chap. vii, “Cubes, Spiders, Honeycombs, and Bricks”; chap. viii, “Platonic Solids, Crystals, Bees’ Heads, and Soap.”

For a more extensive bibliography, see
SCHAAF, WILLIAM L. Recreational Mathematics: A Guide to the Literature. Washington, D.C.: National Council of Teachers of Mathematics, 1958. Chap. iii, sec. 4, “Regular Polygons and Polyhedra,” pp. 57-60.

Polyhedron Models for the Classroom by Magnus J. Wenninger			Reprinted with permission from Polyhedron Models, copyright 1966 by the National Council of Teachers of Mathematics. All rights reserved.
Previous Section				The End

		Ragnar Torfason 2006 June 3