h-net: hqc255


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{12,8,4}
2D vertex symbol {4.5.5.4.5.5.4.5.5.4.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(12, 112, 932, 7760, 64604), (8, 56, 488, 4032, 33824, 281280), (4, 28, 204, 1796, 14848, 124388)]
Delaney-Dress Symbol <255.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:4 5,12 8 4>
Dual net hqc193

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 sqc723 I-4m2 119 tetragonal {12,8,4} 3 (3,3)
Full image sqc720 I-4m2 119 tetragonal {12,8,4} 3 (3,3)

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 UQC3270 *4444 (3,3,2) {12,8,4} {4.5.5.4.5.5.4.5.5.4.5.5}{5.5.5.... Snet sqc1 Snet sqc723 Snet sqc355
Tiling details UQC3271 *4444 (3,3,2) {12,8,4} {4.5.5.4.5.5.4.5.5.4.5.5}{5.5.5.... Snet sqc111 Snet sqc723 Snet sqc720

Symmetry-lowered hyperbolic tilings