Artifacts for Stamping Symmetric Designs.

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Montesinos Amilibia, José María and Hilden, Hugh Michael and Tejada Jiménez, Débora María and Toro Villegas, Margarita María (2011) Artifacts for Stamping Symmetric Designs. American Mathematical Monthly, 118 (4). pp. 327-343. ISSN 0002-9890

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Official URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.118.04.327




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.


Item Type:Article
Uncontrolled Keywords:crystallographic groups; fundamental domains; Moebius strip; orbifolds; symmetry group; tesselations
Subjects:Sciences > Chemistry > Crystallography
Sciences > Mathematics > Geometry
ID Code:16947
Deposited On:31 Oct 2012 09:11
Last Modified:12 Dec 2018 15:13

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