h-net: hqc2065


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,8,6}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 24, 64, 152, 336, 764, 1736, 3984, 9012), (4, 10, 24, 62, 146, 338, 762, 1744, 3946, 9042), (3, 8, 21, 52, 127, 290, 666, 1503, 3441, 7782), (8, 24, 60, 136, 312, 708, 1624, 3672, 8412, 19016), (6, 21, 54, 129, 291, 666, 1503, 3441, 7782, 17829)]
Delaney-Dress Symbol <2065.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 4 3 8 6>
Dual net hqc1950

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 sqc14194 Pm-3n 223 cubic {4,4,3,8,6} 68 (5,5)
Full image sqc14197 I-43d 220 cubic {4,4,3,8,6} 68 (5,6)
Full image sqc12683 P-43m 215 cubic {4,4,3,6,8} 34 (5,5)

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 UQC5416 *344 (5,5,2) {4,4,3,8,6} {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.... Snet sqc14194 Snet sqc14197 Snet sqc12683

Symmetry-lowered hyperbolic tilings