h-net: hqc1553


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,3,3,8,4}
2D vertex symbol {4.4.4.4}{4.24.4}{4.24.24}{24.24.24.24.24.24.24.24}{24.24.24.24}
Vertex coordination sequence [(4, 4, 4, 28, 72, 372, 864, 3780, 8556, 37596), (3, 5, 16, 38, 200, 468, 2076, 4710, 20688, 47034), (3, 10, 22, 108, 253, 1138, 2589, 11382, 25872, 114336), (8, 20, 96, 220, 960, 2176, 9592, 21828, 96576), (4, 28, 68, 300, 676, 2940, 6676, 29548, 67284)]
Delaney-Dress Symbol <1553.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 24,4 3 3 8 4>
Dual net hqc1321

Derived s-nets

s-nets with faithful topology

4 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 sqc3330 I-4m2 119 tetragonal {4,3,3,8,4} 11 (5,4)
Full image sqc3328 I-4m2 119 tetragonal {4,3,3,8,4} 11 (5,4)
Full image sqc3389 I-4m2 119 tetragonal {4,3,3,8,4} 11 (5,4)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5243 *4444 (5,4,2) {4,3,3,8,4} {4.4.4.4}{4.24.4}{4.24.24}{24.24... No s‑net Snet sqc3330 Snet sqc3328
Tiling details UQC5244 *4444 (5,4,2) {4,3,3,8,4} {4.4.4.4}{4.24.4}{4.24.24}{24.24... Snet sqc2246 Snet sqc3330 Snet sqc3389

Symmetry-lowered hyperbolic tilings