h-net: hqc1248


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,4,4}
2D vertex symbol {5.4.5.5.4.5}{5.5.4.4}{4.4.4.4}{5.5.5.5}
Delaney-Dress Symbol <1248.2:9:1 3 5 7 9,2 8 4 6 7 9,1 4 5 6 7 8 9:5 4,6 4 4 4>
Dual net hqc1082

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 sqc8459 P4/nmm 129 tetragonal {6,4,4,4} 16 (4,4)
Full image sqc8457 I41/a 88 tetragonal {6,4,4,4} 16 (4,5)
Full image sqc8714 I-42d 122 tetragonal {6,4,4,4} 16 (4,5)
Full image sqc2478 P-42m 111 tetragonal {4,4,6,4} 8 (4,4)
Full image sqc8458 I41/amd 141 tetragonal {6,4,4,4} 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 UQC4399 *2244b (4,4,2) {6,4,4,4} {5.4.5.5.4.5}{5.5.4.4}{4.4.4.4}{... Snet sqc8459 Snet sqc8457 Snet sqc8458
Tiling details UQC4400 *2244a (4,4,2) {6,4,4,4} {5.4.5.5.4.5}{5.5.4.4}{4.4.4.4}{... Snet sqc8354 Snet sqc8714 Snet sqc2478

Symmetry-lowered hyperbolic tilings