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Artifacts for Stamping Symmetric Designs

H. M. Hilden, J. M. Montesinos, D. M. Tejada and M. M. Toro
The American Mathematical Monthly
Vol. 118, No. 4 (April 2011), pp. 327-343
DOI: 10.4169/amer.math.monthly.118.04.327
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.118.04.327
Page Count: 17
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Artifacts for Stamping Symmetric Designs
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Abstract

Abstract It is well known that there are 17 crystallographic groups that determine the possible tessellations of the Euclidean plane. We approach them from an unusual point of view. Corresponding to each crystallographic group there is an orbifold. We show how to think of the orbifolds as artifacts that serve to create tessellations.

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