Project 8.5
Construct models for the regular polyhedra.
References:
H.S.M. Coxeter, Introduction to Geometry (New York: Wiley, 1961).
Jean Pederson, “Plaited Platonic Puzzles,” Two-Year College Mathematics Journal, Fall 1973, pp. 23-27.
Max Sobel and Evan Maletsky, Teaching Mathematics: A Sourcebook (Englewood Cliffs, N.J.: Prentice-Hall, 1975), pp. 173-184.
Charles W. Trigg, “Collapsible Models of the Regular Octahedron,” The Mathematics Teacher, October 1972, pp. 530-533.
Project 8.6
What solids occur in nature? Find examples of each of the five regular solids. For example, the skeletons of marine animals called radiolaria show each of these forms.
References:
David Bergamini, Mathematics (New York: Time, Inc., Life Science Library, 1963), Chapter 4.
Juithlynee Carson, “Fibonacci Numbers and Pineapple Phyllotaxy,” Two-Year College Mathematics Journal, June 1978, pp. 132-136.
James Newman, The World of Mathematics (New York: Simon and Schuster, 1956). “Crystals and the Future of Physics,” pp. 871-881, “On Being the Right Size,” pp. 952-957, and “The Soap Bubble,” pp. 891-900.
Radiolaria:
http://www.ucmp.berkeley.edu/protista/radiolaria/rads.html
Project 8.7
What is a Menger sponge, and what is interesting about this figure?
