h-net: hqc840


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,4,4}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol <840.2:8:1 3 5 7 8,2 8 4 6 7,1 4 5 6 7 8:4 4,12 4 4>
Dual net hqc728

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 sqc1642 P4/mmm 123 tetragonal {4,12,4} 6 (3,4)
Full image sqc7727 I41/a 88 tetragonal {12,4,4} 12 (3,5)
Full image sqc7729 I-42d 122 tetragonal {12,4,4} 12 (3,5)
Full image sqc1792 P-42m 111 tetragonal {12,4,4} 6 (3,4)
Full image sqc7511 I41/amd 141 tetragonal {12,4,4} 12 (3,4)

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 UQC3812 *2244b (3,4,2) {12,4,4} {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.... Snet sqc1642 Snet sqc7727 Snet sqc7511
Tiling details UQC3813 *2244a (3,4,2) {12,4,4} {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.... Snet sqc7170 Snet sqc7729 Snet sqc1792

Symmetry-lowered hyperbolic tilings