h-net: hqc2369


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,8,6,4}
2D vertex symbol {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 20, 62, 76, 240, 284, 896, 1060, 3344), (8, 12, 40, 48, 152, 180, 568, 672, 2120, 2508), (6, 24, 30, 96, 114, 360, 426, 1344, 1590, 5016), (4, 12, 36, 48, 152, 180, 568, 672, 2120, 2508)]
Delaney-Dress Symbol <2369.2:14:2 4 6 8 10 12 14,3 6 5 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:3 4,4 4 8 6 4>
Dual net hqc2312

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 sqc14364 Pm-3m 221 cubic {4,4,8,6,4} 68 (5,6)
Full image sqc14367 I4132 214 cubic {4,4,8,6,4} 68 (5,7)
Full image sqc13081 P4232 208 cubic {4,4,4,8,6} 34 (5,6)

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 UQC5809 *2223 (5,6,2) {4,4,8,6,4} {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4... Snet sqc14364 Snet sqc14367 Snet sqc13081

Symmetry-lowered hyperbolic tilings