h-net: hqc1010


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,12}
2D vertex symbol {4.4.12}{12.4.4.12.4.4.12.4.4.12.4.4}
Delaney-Dress Symbol <1010.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:4 12 4,3 12>
Dual net hqc1198

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 sqc2339 P4/mmm 123 tetragonal {3,12} 9 (2,4)
Full image sqc8492 I-42d 122 tetragonal {12,3,3} 18 (3,5)
Full image sqc8493 I41/a 88 tetragonal {12,3,3} 18 (3,5)
Full image sqc2340 P4/mmm 123 tetragonal {3,12} 9 (2,4)
Full image sqc8491 I41/amd 141 tetragonal {12,3} 18 (2,4)

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 UQC1112 *2244b (2,4,3) {12,3} {4.4.12}{12.4.4.12.4.4.12.4.4.12... Snet sqc2339 Snet sqc8493 Snet sqc8491
Tiling details UQC1113 *2244a (2,4,3) {12,3} {4.4.12}{12.4.4.12.4.4.12.4.4.12... No s‑net Snet sqc8492 Snet sqc2340

Symmetry-lowered hyperbolic tilings