h-net: hqc1527


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,12,4,8}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Delaney-Dress Symbol <1527.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 12 4 8>
Dual net hqc1299

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 sqc9435 P42/mmc 131 tetragonal {3,12,4,8} 16 (4,4)
Full image sqc9399 I41/a 88 tetragonal {3,12,4,8} 16 (4,5)
Full image sqc9400 I-42d 122 tetragonal {3,12,4,8} 16 (4,5)
Full image sqc3345 P-42m 111 tetragonal {3,4,12,8} 8 (4,4)
Full image sqc9436 I41/amd 141 tetragonal {3,12,4,8} 16 (4,4)

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 UQC4684 *2244b (4,4,2) {3,12,4,8} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... Snet sqc2594 Snet sqc9399 Snet sqc9436
Tiling details UQC4685 *2244a (4,4,2) {3,12,4,8} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... Snet sqc9435 Snet sqc9400 Snet sqc3345

Symmetry-lowered hyperbolic tilings