h-net: hqc2227


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,3,6,4}
2D vertex symbol {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 24, 44, 72, 124, 216, 380, 656, 1128), (4, 10, 18, 34, 60, 106, 186, 318, 548, 948), (3, 7, 14, 25, 47, 82, 145, 254, 435, 748), (6, 12, 24, 42, 78, 138, 234, 396, 690, 1200), (4, 10, 18, 34, 60, 112, 196, 330, 560, 980)]
Delaney-Dress Symbol <2227.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,4 4 3 6 4>
Dual net hqc2158

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 sqc14311 Pm-3m 221 cubic {4,4,3,6,4} 80 (5,6)
Full image sqc14312 I4132 214 cubic {4,4,3,6,4} 80 (5,7)
Full image sqc12888 P4232 208 cubic {4,4,3,4,6} 40 (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 UQC5606 *2223 (5,6,2) {4,4,3,6,4} {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.... Snet sqc14311 Snet sqc14312 Snet sqc12888

Symmetry-lowered hyperbolic tilings