return to the Geometric Dissections menu
Resources
Compared to other branches of mathematics, the literature on dissections is small - but it is growing by leaps and bounds, and increasing in quality and imagination. A few enthusiasts have spurred the interest in it. The reader can find a much more extensive bibliography in Greg Frederickson's books.
Books and articles
Coffin, Stewart T. The Puzzling World of Polyhedral Dissections. New York, NY: Oxford University Press, 1990.
Coffin, Stewart T. Geometric Puzzle Design. Wellesley, MA: A. K.. Peters, 2007.
Delft, Pieter van, and Jack Botermans. Creative Puzzles of the World. New York, NY: Harry N. Abrams, 1978.
Eppstein, David. Hinged Kite Mirror Dissection, online paper.
Frederickson, Greg N. Dissections: Plane and Fancy. Cambridge, UK: Cambridge University Press, 1997.
Frederickson, Greg N. Hinged Dissections: Swinging and Twisting. Cambridge, UK: Cambridge University Press, 2002.
Frederickson, Greg N. Piano-Hinged Dissections. Wellesley, MA: A. K.. Peters, 2006.
Frederickson, Greg N. Unfolding an 8-high Square, and Other New Wrinkles. Paper available online.
Gardner, Martin. Second Scientific American Book of Mathematical Puzzles and Diversions.
Gluck, Andrew L. "The King in His Palace: Ibn Gabirol and Maimonides." The Jewish Quarterly Review 91.1(2001):337-57.
Grunbaum, Branko, and G. C. Shephard. Tilings and Patterns. New York, NY: W. H. Freeman and Co., 1987.
Hartshorne, Robin. Geometry: Euclid and Beyond. New York, NY: Springer, 2000.
Henderson, David W., and Daina Taimina. Experiencing Geometry: Euclidean and Non-Euclidean, with History. Upper Saddle River, NJ: Prentice Hall, 2005
Hilbert, David. The Foundations of Geometry. Chicago, IL: Open Court, 1902.
Lindgren, Harry. Recreational Problems in Geometric Dissections: And How to Solve Them. New York, NY: Dover, 1972 (1964).
Maor, Eli. The Pythagorean Theorem: A 4,000-Year History. Princeton, NJ: Princeton University Press, 2007.
Martin, George Edward. The Foundations of Geometry and the Non-Euclidean Plane. New York, NY: Intext Educational Publishers, 1975.
Plato. Meno. Available online: http://classics.mit.edu/Plato/meno.html
Tennant, Raymond. Islamic Constructions: The Geometry Needed by Craftsmen, conference paper available online.
Tennant, Raymond. Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: Questions from Classroom, conference paper available online.
Online resources
http://www.ics.uci.edu/~eppstein/junkyard/dissect.html
http://www.amazon.com/Recreational-Problems-Geometric-Dissections-Solve/dp/0486228789
http://en.wikipedia.org/wiki/Dissection_puzzle
http://www.barbecuejoe.com/stomachion.htm
return to the Geometric Dissections menu