h-net: hqc121


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{8,4}
2D vertex symbol {8.3.3.8.8.3.3.8}{3.3.3.3}
Delaney-Dress Symbol <121.2:5:1 2 3 5,2 4 5,1 3 4 5:8 3,8 4>
Dual net hqc139

Derived s-nets

s-nets with faithful topology

7 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 sqc391 P4/mmm 123 tetragonal {8,4} 3 (2,3)
Full image sqc392 Pmmm 47 orthorhombic {4,8,8} 3 (3,5)
Full image sqc3164 I41/a 88 tetragonal {8,4} 6 (2,3)
Full image sqc3458 I-42d 122 tetragonal {8,4} 6 (2,3)
Full image sqc3521 C2/c 15 monoclinic {8,8,4} 6 (3,6)
Full image sqc3199 I41/amd 141 tetragonal {8,4} 6 (2,3)
Full image sqc3526 Imma 74 orthorhombic {8,8,4} 6 (3,5)

s-nets with edge collapse


Derived U-tilings

3 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC122 *2244b (2,3,2) {8,4} {8.3.3.8.8.3.3.8}{3.3.3.3} Snet sqc391 Snet sqc3164 Snet sqc3199
Tiling details UQC123 *2244a (2,3,2) {8,4} {8.3.3.8.8.3.3.8}{3.3.3.3} Snet sqc2759 Snet sqc3458 Snet sqc391
Tiling details UQC4167 *222222a (3,5,2) {8,8,4} {8.3.3.8.8.3.3.8}{8.8.3.3.8.8.3.... Snet sqc392 Snet sqc3521 Snet sqc3526

Symmetry-lowered hyperbolic tilings