Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples

Ramsden, S.J.; Robins, V.; Hyde, S.T.

doi:10.1107/S0108767308040592

Acta Crystallographica Section A
Acta Crystallographica
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Figure 12
Unfolding the D symbol of the fundamental $[\star{\tt 246}]$ tiling into the topologically equivalent tiling with symmetry $[{\circ }{\circ}{ \circ}]$ (the unfolded D symbol). The inset shows the chamber labelling (darker labels) of three fundamental domains. Chambers that are equivalent under a $[\star{\tt 246}]$ symmetry have identical labels modulo 6. The red labels mark the 0-, 1- and 2-vertices of the chamber system.

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ISSN: 2053-2733

Volume 65| Part 2| January 2009| Pages 81-108

doi:10.1107/S0108767308040592

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