Symmetry groups associated with tilings on a flat torus
2015 ◽
Vol 71
(1)
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pp. 99-110
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Keyword(s):
This work investigates symmetry and color symmetry properties of Kepler, Heesch and Laves tilings embedded on a flat torus and their geometric realizations as tilings on a round torus in Euclidean 3-space. The symmetry group of the tiling on the round torus is determined by analyzing relevant symmetries of the planar tiling that are transformed to axial symmetries of the three-dimensional tiling. The focus on studying tilings on a round torus is motivated by applications in the geometric modeling of nanotori and the determination of their symmetry groups.
2014 ◽
Vol 70
(a1)
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pp. C1428-C1428
Keyword(s):
1996 ◽
Vol 11
(4)
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pp. 371-380
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Keyword(s):
2008 ◽
Vol 50
(1)
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pp. 83-96
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Keyword(s):
Keyword(s):
2015 ◽
Vol 71
(2)
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pp. 216-224
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1974 ◽
Vol 32
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pp. 210-211
1995 ◽
Vol 53
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pp. 42-43