h-net: hqc1512


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,16,8}
2D vertex symbol {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <1512.2:10:1 3 5 7 9 10,2 10 6 9 8,1 4 5 6 7 8 9 10:4 3,4 16 8>
Dual net hqc1429

Derived s-nets

s-nets with faithful topology

4 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 sqc9397 I-42d 122 tetragonal {4,16,8} 12 (3,6)
Full image sqc9398 I41/a 88 tetragonal {4,16,8} 12 (3,6)
Full image sqc3342 P-42m 111 tetragonal {4,8,16} 6 (3,5)
Full image sqc9421 I41/amd 141 tetragonal {4,16,8} 12 (3,5)

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 UQC4150 *2244b (3,5,2) {4,16,8} {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.... Snet sqc2345 Snet sqc9398 Snet sqc9421
Tiling details UQC4151 *2244a (3,5,2) {4,16,8} {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.... Snet sqc9276 Snet sqc9397 Snet sqc3342

Symmetry-lowered hyperbolic tilings