h-net: hqc718


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,3,4)
Vertex degrees{4,16}
2D vertex symbol {4.4.8.4}{4.4.4.8.4.4.4.8.4.4.4.8.4.4.4.8}
Vertex coordination sequence [(4, 33, 288, 2237, 17370, 135580), (16, 132, 1008, 7856, 61344)]
Delaney-Dress Symbol <718.2:8:1 2 4 6 7 8,1 3 7 5 6 8,2 5 6 8:4 4 8 4,4 16>
Dual net hqc913

Derived s-nets

s-nets with faithful topology

2 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 sqc2034 I-42m 121 tetragonal {4,16} 5 (2,4)

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 UQC1414 *4444 (2,3,4) {4,16} {4.4.8.4}{4.4.4.8.4.4.4.8.4.4.4.... Snet sqc1028 Snet sqc2034 Snet sqc1371
Tiling details UQC1415 *4444 (2,3,4) {4,16} {4.4.8.4}{4.4.4.8.4.4.4.8.4.4.4.... Snet sqc1148 Snet sqc2034 No s‑net

Symmetry-lowered hyperbolic tilings