h-net: hqc2064


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,6,8}
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, 16, 56, 108, 304, 552, 1580, 2884, 8192), (4, 8, 24, 48, 144, 266, 756, 1378, 3918, 7144), (3, 10, 20, 62, 118, 339, 620, 1760, 3208, 9116), (6, 24, 48, 138, 252, 720, 1314, 3732, 6804, 19326), (8, 20, 64, 120, 340, 620, 1760, 3208, 9116, 16620)]
Delaney-Dress Symbol <2064.2:12:2 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 6 8>
Dual net hqc1946

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 sqc14195 Pm-3n 223 cubic {4,4,3,6,8} 68 (5,5)
Full image sqc14196 I-43d 220 cubic {4,4,3,6,8} 68 (5,6)
Full image sqc12684 P-43m 215 cubic {4,4,8,6,3} 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 UQC5415 *344 (5,5,2) {4,4,3,6,8} {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.... Snet sqc14195 Snet sqc14196 Snet sqc12684

Symmetry-lowered hyperbolic tilings