h-net: hqc860


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{16,4,8,4}
2D vertex symbol {5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(16, 136, 1136, 9440, 78712), (4, 52, 432, 3620, 30044, 250728), (8, 72, 584, 4952, 41072, 342960), (4, 28, 264, 2156, 18208, 151100)]
Delaney-Dress Symbol <860.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,16 4 8 4>
Dual net hqc588

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 sqc1818 I-4m2 119 tetragonal {16,8,4,4} 4 (4,4)
Full image sqc1591 I-4m2 119 tetragonal {16,8,4,4} 4 (4,4)

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 UQC4182 *4444 (4,4,2) {16,4,8,4} {5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3... Snet sqc1 Snet sqc1818 Snet sqc1145
Tiling details UQC4183 *4444 (4,4,2) {16,4,8,4} {5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3... Snet sqc734 Snet sqc1818 Snet sqc1591

Symmetry-lowered hyperbolic tilings