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Definitions

We will study symmetries called isometries, which preserve distances. Many more exotic transformations exist, but for the sake of simplicity we are going to restrict ourselves to isometries that can be described in terms of rubber stamping out many copies of the same image. We'll leave questions of stretching and inflating for another class.

[finite and infinite motifs]

[translation, rotation, reflection, glide reflection]

If you're at a Macintosh with The Geometer's Sketchpad installed, you can experience an interactive version [GSP Help] of this illustration.


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Author: Chaim Goodman-Strauss, revised and edited by Heidi Burgiel
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Created: Dec 7 1995 --- Last modified: Jul 31 1996
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