h-net: hqc1721


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,20}
2D vertex symbol {8.4.3}{3.4.4.4.4.3.4.4.4.4.3.4.4.4.4.3.4.4.4.4}
Delaney-Dress Symbol <1721.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:8 3 4 4,3 20>
Dual net hqc1876

Derived s-nets

s-nets with faithful topology

2 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 sqc10110 I41/amd 141 tetragonal {20,3} 18 (2,5)
Full image sqc4003 P-42m 111 tetragonal {3,20} 9 (2,5)

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 UQC2193 *2244b (2,5,4) {20,3} {8.4.3}{3.4.4.4.4.3.4.4.4.4.3.4.... No s‑net Snet sqc10110 Snet sqc9355
Tiling details UQC2194 *2244a (2,5,4) {20,3} {8.4.3}{3.4.4.4.4.3.4.4.4.4.3.4.... Snet sqc3060 Snet sqc10110 Snet sqc4003

Symmetry-lowered hyperbolic tilings