Computers in Physics
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Group theory (symmetries) in a computer game
1.D. M. Cook, Comput. Phys. 11, 240 (1997);
1.D. M. Cook, Comput. Phys. 11, 331 (1997).
2.R. Ehrlich, M. Dworzecka, and W. M. MacDonald, Comput. Phys. 6, 90 (1992).
3.For a list of available software see, for example, Comput. Phys. CPHYE211, 49 (1997).
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8.S. Dugdale, in Computer-Assisted Instruction and Intelligent Tutoring Systems, edited by J. Larkin and R. W. Chabay (Lawrence Erlbaum Associates, Hillsdale, NJ, 1992), pp. 11–45.
9.The game used here is called “Disorder” (works on Windows 3.1 and Windows 95). It is currently available directly from the author at 3 Kaegill Lane, New Paltz, NY 12561 (price: $15.00). There are similar games available from other sources.
10.This article does not discuss a major component of skills developed by computer puzzle games, namely, pattern recognition skills, in particular, allowing the pieces to be rotated brings in a higher degree of challenge in recognizing patterns of the puzzle picture.
11.The present version of the game does not consider playing speed.
12.I have observed one eight-year-old acquire such intuition. However, not having tried the game on a large group of children, it is difficult to generalize. So I am guessing, somewhat conservatively, that by age 10 significant numbers of children would acquire such intuition.
13.Here, the particle theorist might see a discrete analog of a fiber bundle!
14.H. Wielandt, Finite Permutation Groups (Academic, New York, 1964).
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