h-net: hqc1810


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,12,4,8}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Delaney-Dress Symbol <1810.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 12 4 8>
Dual net hqc1648

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 sqc10222 P42/mmc 131 tetragonal {4,12,4,8} 16 (4,5)
Full image sqc10177 I41/a 88 tetragonal {4,12,4,8} 16 (4,6)
Full image sqc10178 I-42d 122 tetragonal {4,12,4,8} 16 (4,6)
Full image sqc4225 P-42m 111 tetragonal {4,8,4,12} 8 (4,5)
Full image sqc10223 I41/amd 141 tetragonal {4,12,4,8} 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 UQC4942 *2244a (4,5,2) {4,12,4,8} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc10222 Snet sqc10178 Snet sqc4225
Tiling details UQC4943 *2244b (4,5,2) {4,12,4,8} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc3367 Snet sqc10177 Snet sqc10223

Symmetry-lowered hyperbolic tilings