h-net: hqc492


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{12,6,4}
2D vertex symbol {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.4.3.4.4}{4.4.4.4}
Delaney-Dress Symbol <492.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:3 4,12 6 4>
Dual net hqc397

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 sqc1161 P4/mmm 123 tetragonal {12,6,4} 4 (3,3)
Full image sqc6530 I41/a 88 tetragonal {12,6,4} 8 (3,4)
Full image sqc6681 I-42d 122 tetragonal {12,6,4} 8 (3,4)
Full image sqc1162 P4/mmm 123 tetragonal {6,4,12} 4 (3,3)
Full image sqc6531 I41/amd 141 tetragonal {12,6,4} 8 (3,3)

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 UQC3371 *2244b (3,3,2) {12,6,4} {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.4.... Snet sqc1161 Snet sqc6530 Snet sqc6531
Tiling details UQC3372 *2244a (3,3,2) {12,6,4} {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.4.... Snet sqc5790 Snet sqc6681 Snet sqc1162

Symmetry-lowered hyperbolic tilings