h-net: hqc2096


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,6,4,3,8}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 20, 52, 132, 260, 684, 1340, 3532, 6956, 18300), (6, 18, 54, 102, 276, 552, 1446, 2850, 7494, 14742), (4, 10, 16, 52, 110, 294, 574, 1516, 2992, 7866), (3, 7, 11, 31, 92, 184, 452, 974, 2394, 5034), (8, 4, 16, 44, 124, 220, 604, 1212, 3172, 6260)]
Delaney-Dress Symbol <2096.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,4 6 4 3 8>
Dual net hqc1981

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 sqc14244 Pm-3n 223 cubic {4,6,4,3,8} 68 (5,5)
Full image sqc14187 I-43d 220 cubic {4,6,4,3,8} 68 (5,6)
Full image sqc12669 P-43m 215 cubic {4,3,4,8,6} 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 UQC5466 *344 (5,5,2) {4,6,4,3,8} {6.6.6.6}{6.6.6.6.6.6}{6.3.3.6}{... Snet sqc14244 Snet sqc14187 Snet sqc12669

Symmetry-lowered hyperbolic tilings