h-net: hqc2068


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,12,8,8}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 60, 208, 1508, 5016, 36508, 121760), (4, 28, 92, 672, 2244, 16324, 54428), (12, 40, 292, 976, 7100, 23672, 172244), (8, 32, 232, 768, 5592, 18656, 135736), (8, 64, 216, 1568, 5224, 38016, 126776)]
Delaney-Dress Symbol <2068.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 4 12 8 8>
Dual net hqc1954

Derived s-nets

s-nets with faithful topology

3 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 sqc5260 I-4 82 tetragonal {4,4,12,8,8} 8 (5,6)
Full image sqc4955 I-4m2 119 tetragonal {4,4,12,8,8} 8 (5,5)
Full image sqc4956 I-4m2 119 tetragonal {4,4,12,8,8} 8 (5,5)

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 UQC5423 *4444 (5,5,2) {4,4,12,8,8} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4... Snet sqc4230 Snet sqc5260 Snet sqc4956
Tiling details UQC5424 *4444 (5,5,2) {4,4,12,8,8} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4... Snet sqc4228 Snet sqc5260 Snet sqc4955

Symmetry-lowered hyperbolic tilings