h-net: hqc1543


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,3,3,6,4}
2D vertex symbol {4.4.4.4}{4.6.4}{4.6.6}{6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 4, 4, 16, 36, 108, 204, 572, 1080, 2984), (3, 5, 11, 22, 71, 139, 390, 734, 2028, 3802), (3, 8, 15, 46, 91, 260, 492, 1359, 2547, 7032), (6, 15, 48, 93, 261, 492, 1359, 2547, 7032, 13185), (4, 20, 44, 124, 232, 640, 1200, 3316, 6220, 17180)]
Delaney-Dress Symbol <1543.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,4 3 3 6 4>
Dual net hqc1318

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc13939 Pm-3n 223 cubic {4,3,3,6,4} 68 (5,4)
Full image sqc13933 I-43d 220 cubic {4,3,3,6,4} 68 (5,5)
Full image sqc12209 P-43m 215 cubic {3,4,3,4,6} 34 (5,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5228 *344 (5,4,2) {4,3,3,6,4} {4.4.4.4}{4.6.4}{4.6.6}{6.6.6.6.... Snet sqc13939 Snet sqc13933 Snet sqc12209

Symmetry-lowered hyperbolic tilings