h-net: hqc1090


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,8,4}
2D vertex symbol {4.4.4.4}{4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol <1090.2:9:1 3 4 5 7 9,2 4 6 8 9,1 2 3 5 6 7 8 9:4 5,4 4 8 4>
Dual net hqc927

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 sqc8512 I41/a 88 tetragonal {4,4,8,4} 16 (4,5)
Full image sqc8513 I-42d 122 tetragonal {4,4,8,4} 16 (4,5)
Full image sqc2566 P-42m 111 tetragonal {8,4,4,4} 8 (4,5)
Full image sqc8573 I41/amd 141 tetragonal {4,4,8,4} 16 (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 UQC4254 *2244b (4,5,2) {4,4,8,4} {4.4.4.4}{4.5.5.4}{5.5.5.5.5.5.5... Snet sqc1505 Snet sqc8512 Snet sqc8573
Tiling details UQC4255 *2244a (4,5,2) {4,4,8,4} {4.4.4.4}{4.5.5.4}{5.5.5.5.5.5.5... Snet sqc7077 Snet sqc8513 Snet sqc2566

Symmetry-lowered hyperbolic tilings