h-net: hqc869


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,8,4}
2D vertex symbol {4.6.4.6}{4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <869.2:8:2 4 6 8,1 2 3 5 7 8,3 4 5 6 7 8:4 6,4 3 8 4>
Dual net hqc600

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 sqc7506 I41/a 88 tetragonal {4,3,8,4} 16 (4,4)
Full image sqc7507 I-42d 122 tetragonal {4,3,8,4} 16 (4,4)
Full image sqc1813 P-42m 111 tetragonal {3,4,8,4} 8 (4,3)
Full image sqc7561 I41/amd 141 tetragonal {4,3,8,4} 16 (4,3)

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 UQC4197 *2244b (4,3,2) {4,3,8,4} {4.6.4.6}{4.6.6}{6.6.6.6.6.6.6.6... Snet sqc1065 Snet sqc7506 Snet sqc7561
Tiling details UQC4198 *2244a (4,3,2) {4,3,8,4} {4.6.4.6}{4.6.6}{6.6.6.6.6.6.6.6... No s‑net Snet sqc7507 Snet sqc1813

Symmetry-lowered hyperbolic tilings