h-net: hqc2259


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,8,4}
2D vertex symbol {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3.3}{7.7.7.7}
Delaney-Dress Symbol <2259.2:13:1 3 5 7 9 11 13,2 4 12 8 11 10 13,1 2 3 6 7 8 9 10 11 12 13:7 3,4 4 4 8 4>
Dual net hqc2198

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 sqc11457 P4/nmm 129 tetragonal {4,4,4,8,4} 24 (5,6)
Full image sqc11422 I-42d 122 tetragonal {4,4,4,8,4} 24 (5,7)
Full image sqc11459 I41/a 88 tetragonal {4,4,4,8,4} 24 (5,7)
Full image sqc5991 P-42m 111 tetragonal {4,4,4,8,4} 12 (5,6)
Full image sqc11458 I41/amd 141 tetragonal {4,4,4,8,4} 24 (5,6)

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 UQC5722 *2244b (5,6,2) {4,4,4,8,4} {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.... Snet sqc11457 Snet sqc11459 Snet sqc11458
Tiling details UQC5723 *2244a (5,6,2) {4,4,4,8,4} {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.... Snet sqc11280 Snet sqc11422 Snet sqc5991

Symmetry-lowered hyperbolic tilings