h-net: hqc1546


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,3,12,8,4}
2D vertex symbol {4.4.4.4}{4.6.4}{4.6.6.4.6.6.4.6.6.4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 4, 40, 144, 944, 3428, 22988, 83136), (3, 23, 75, 494, 1799, 12067, 43639), (12, 40, 260, 944, 6332, 22904, 153524), (8, 56, 208, 1400, 5056, 33880, 122544), (4, 28, 208, 744, 4976, 17992, 120588)]
Delaney-Dress Symbol <1546.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,4 3 12 8 4>
Dual net hqc1323

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 sqc3315 I-4m2 119 tetragonal {4,3,12,8,4} 8 (5,4)
Full image sqc3309 I-4m2 119 tetragonal {4,3,12,8,4} 8 (5,4)
Full image sqc3334 I-4m2 119 tetragonal {4,3,12,8,4} 8 (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 UQC5232 *4444 (5,4,2) {4,3,12,8,4} {4.4.4.4}{4.6.4}{4.6.6.4.6.6.4.6... Snet sqc2573 Snet sqc3315 Snet sqc3309
Tiling details UQC5233 *4444 (5,4,2) {4,3,12,8,4} {4.4.4.4}{4.6.4}{4.6.6.4.6.6.4.6... No s‑net Snet sqc3315 Snet sqc3334

Symmetry-lowered hyperbolic tilings