h-net: hqc863


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,8,4}
2D vertex symbol {5.5.12.12}{12.12.12.12}{5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 16, 52, 198, 656, 2400, 7998, 28974, 97668), (4, 12, 52, 172, 636, 2104, 7684, 25660, 92748), (8, 24, 104, 288, 1208, 3576, 14400, 44384), (4, 28, 76, 324, 900, 3780, 11244, 45100)]
Delaney-Dress Symbol <863.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 12,4 4 8 4>
Dual net hqc586

Derived s-nets

s-nets with faithful topology

4 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 sqc1829 I-4 82 tetragonal {4,8,4,4} 7 (4,4)
Full image sqc1831 I-4 82 tetragonal {4,8,4,4} 7 (4,4)
Full image sqc1833 I-4m2 119 tetragonal {4,8,4,4} 7 (4,4)
Full image sqc1873 I-4m2 119 tetragonal {4,8,4,4} 7 (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 UQC4187 *4444 (4,4,2) {4,4,8,4} {5.5.12.12}{12.12.12.12}{5.5.5.5... Snet sqc1062 Snet sqc1829 Snet sqc1873
Tiling details UQC4188 *4444 (4,4,2) {4,4,8,4} {5.5.12.12}{12.12.12.12}{5.5.5.5... Snet sqc1302 Snet sqc1831 Snet sqc1833

Symmetry-lowered hyperbolic tilings