h-net: hqc1827


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,8,8}
2D vertex symbol {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Delaney-Dress Symbol <1827.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,4 3 8 8>
Dual net hqc1659

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 sqc10225 P42/mmc 131 tetragonal {4,3,8,8} 20 (4,5)
Full image sqc10181 I-42d 122 tetragonal {4,3,8,8} 20 (4,6)
Full image sqc10182 I41/a 88 tetragonal {4,3,8,8} 20 (4,6)
Full image sqc4224 P-42m 111 tetragonal {8,3,4,8} 10 (4,5)
Full image sqc10226 I41/amd 141 tetragonal {4,3,8,8} 20 (4,5)

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 UQC4978 *2244a (4,5,2) {4,3,8,8} {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4... Snet sqc10225 Snet sqc10181 Snet sqc4224
Tiling details UQC4979 *2244b (4,5,2) {4,3,8,8} {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4... Snet sqc3764 Snet sqc10182 Snet sqc10226

Symmetry-lowered hyperbolic tilings