h-net: hqc1210


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,12,3,4}
2D vertex symbol {5.5.5.5}{5.4.5.5.4.5.5.4.5.5.4.5}{5.4.4}{4.4.4.4}
Delaney-Dress Symbol <1210.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,4 12 3 4>
Dual net hqc970

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 sqc8544 I41/a 88 tetragonal {4,12,3,4} 16 (4,5)
Full image sqc8755 I-42d 122 tetragonal {4,12,3,4} 16 (4,5)
Full image sqc2886 P-42m 111 tetragonal {4,3,12,4} 8 (4,4)
Full image sqc8601 I41/amd 141 tetragonal {4,12,3,4} 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 UQC4327 *2244b (4,4,2) {4,12,3,4} {5.5.5.5}{5.4.5.5.4.5.5.4.5.5.4.... No s‑net Snet sqc8544 Snet sqc8601
Tiling details UQC4328 *2244a (4,4,2) {4,12,3,4} {5.5.5.5}{5.4.5.5.4.5.5.4.5.5.4.... Snet sqc8284 Snet sqc8755 Snet sqc2886

Symmetry-lowered hyperbolic tilings