h-net: hqc1981


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {4.6.4.3.4.6}{4.8.3}
Vertex coordination sequence [(6, 18, 42, 90, 188, 392, 816, 1698, 3534, 7354), (3, 6, 16, 41, 90, 188, 392, 816, 1698, 3534)]
Delaney-Dress Symbol <1981.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:4 6 4 3 8,6 3>
Dual net hqc2096

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 sqc14220 Pm-3n 223 cubic {6,3} 72 (2,5)
Full image sqc14235 I-43d 220 cubic {6,3,3} 72 (3,6)
Full image sqc12739 Pm-3m 221 cubic {6,3} 36 (2,5)

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 UQC2639 *344 (2,5,5) {6,3} {4.6.4.3.4.6}{4.8.3} Snet sqc14220 Snet sqc14235 Snet sqc12739

Symmetry-lowered hyperbolic tilings