h-net: hqc1237


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,4}
2D vertex symbol {7.7.7.7}{7.8.7}{7.7.8}{7.7.7.7}
Delaney-Dress Symbol <1237.2:9:1 3 5 7 9,2 4 8 6 7 9,1 2 3 6 7 8 9:7 8,4 3 3 4>
Dual net hqc982

Derived s-nets

s-nets with faithful topology

5 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 sqc9234 P4/nmm 129 tetragonal {4,3,3,4} 22 (4,4)
Full image sqc8834 I-42d 122 tetragonal {4,3,3,4} 22 (4,5)
Full image sqc9237 I41/a 88 tetragonal {4,3,3,4} 22 (4,5)
Full image sqc3048 P-42m 111 tetragonal {4,3,3,4} 11 (4,4)
Full image sqc8469 I41/amd 141 tetragonal {4,3,3,4} 22 (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 UQC4383 *2244b (4,4,2) {4,3,3,4} {7.7.7.7}{7.8.7}{7.7.8}{7.7.7.7} Snet sqc9234 Snet sqc9237 Snet sqc8469
Tiling details UQC4384 *2244a (4,4,2) {4,3,3,4} {7.7.7.7}{7.8.7}{7.7.8}{7.7.7.7} Snet sqc8388 Snet sqc8834 Snet sqc3048

Symmetry-lowered hyperbolic tilings