h-net: hqc321


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{8,12,4}
2D vertex symbol {8.4.8.4.8.4.8.4}{8.4.4.8.4.4.8.4.4.8.4.4}{4.4.4.4}
Vertex coordination sequence [(8, 84, 416, 4296, 21328, 220284), (12, 60, 620, 3080, 31812, 157940), (4, 40, 204, 2112, 10484, 108280)]
Delaney-Dress Symbol <321.2:6:2 4 6,1 2 3 5 6,3 4 5 6:8 4,8 12 4>
Dual net hqc240

Derived s-nets

s-nets with faithful topology

1 record 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 sqc866 P4/mmm 123 tetragonal {8,12,4} 3 (3,2)

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 UQC3313 *4444 (3,2,2) {8,12,4} {8.4.8.4.8.4.8.4}{8.4.4.8.4.4.8.... Snet sqc234 Snet sqc480 Snet sqc168
Tiling details UQC3314 *4444 (3,2,2) {8,12,4} {8.4.8.4.8.4.8.4}{8.4.4.8.4.4.8.... Snet sqc866 Snet sqc480 Snet sqc169

Symmetry-lowered hyperbolic tilings