h-net: hqc2264


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,8,4}
2D vertex symbol {7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7.7}{7.7.7.7}
Delaney-Dress Symbol <2264.2:13:1 3 5 7 9 11 13,2 10 6 9 8 12 13,1 4 5 6 7 8 9 10 11 12 13:7 3,4 4 4 8 4>
Dual net hqc2191

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 sqc11321 I41/a 88 tetragonal {4,4,4,8,4} 24 (5,7)
Full image sqc11322 I-42d 122 tetragonal {4,4,4,8,4} 24 (5,7)
Full image sqc5727 P-42m 111 tetragonal {4,4,4,8,4} 12 (5,6)
Full image sqc11333 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 UQC5730 *2244b (5,6,2) {4,4,4,8,4} {7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.... Snet sqc4723 Snet sqc11321 Snet sqc11333
Tiling details UQC5731 *2244a (5,6,2) {4,4,4,8,4} {7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.... No s‑net Snet sqc11322 Snet sqc5727

Symmetry-lowered hyperbolic tilings