h-net: hqc2071


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,16,3,8,8}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 56, 144, 1480, 3836, 39744, 102916), (16, 40, 416, 1080, 11184, 28960, 299984), (3, 34, 88, 910, 2357, 24416, 63227), (8, 80, 208, 2160, 5592, 57920), (8, 28, 288, 740, 7672, 19872, 205832)]
Delaney-Dress Symbol <2071.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 16 3 8 8>
Dual net hqc1953

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 sqc4934 I-4 82 tetragonal {4,16,3,8,8} 8 (5,6)
Full image sqc4933 I-4m2 119 tetragonal {4,16,3,8,8} 8 (5,5)

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 UQC5430 *4444 (5,5,2) {4,16,3,8,8} {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... Snet sqc3069 Snet sqc4934 No s‑net
Tiling details UQC5431 *4444 (5,5,2) {4,16,3,8,8} {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... Snet sqc4229 Snet sqc4934 Snet sqc4933

Symmetry-lowered hyperbolic tilings