TY - JOUR
T1 - Isohedral simple tilings
T2 - Binodal and by tiles with ≤16 faces
AU - Delgado-Friedrichs, Olaf
AU - O'Keeffe, Michael
PY - 2005/5
Y1 - 2005/5
N2 - All isohedral simple tilings of 3D Euclidian space by tiles with ≤16 faces have been determined. There are no such tilings by polyhedra with less than 14 faces. For simple polyhedra with 14, 15 and 16 faces, there are respectively 10, 65 and 434 that fill space and a total of 23, 136 and 710 distinct tilings. The tilings by 14-face polyhedra are described in detail as are binodal (vertex 2-transitive) isohedral simple tilings.
AB - All isohedral simple tilings of 3D Euclidian space by tiles with ≤16 faces have been determined. There are no such tilings by polyhedra with less than 14 faces. For simple polyhedra with 14, 15 and 16 faces, there are respectively 10, 65 and 434 that fill space and a total of 23, 136 and 710 distinct tilings. The tilings by 14-face polyhedra are described in detail as are binodal (vertex 2-transitive) isohedral simple tilings.
UR - http://www.scopus.com/inward/record.url?scp=23844475042&partnerID=8YFLogxK
U2 - 10.1107/S0108767305009578
DO - 10.1107/S0108767305009578
M3 - Article
SN - 0108-7673
VL - 61
SP - 358
EP - 362
JO - Acta Crystallographica Section A: Foundations of Crystallography
JF - Acta Crystallographica Section A: Foundations of Crystallography
IS - 3
ER -