h-net: hqc1840


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,4,4}
2D vertex symbol {5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <1840.2:11:1 3 5 7 9 11,2 4 5 8 10 9 11,1 2 3 6 7 8 9 10 11:5 6,4 4 3 4 4>
Dual net hqc1743

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 sqc4534 P4/mmm 123 tetragonal {4,3,4,4,4} 12 (5,5)
Full image sqc10377 I-42d 122 tetragonal {4,4,3,4,4} 24 (5,6)
Full image sqc10401 I41/a 88 tetragonal {4,4,3,4,4} 24 (5,6)
Full image sqc4177 P-42m 111 tetragonal {4,4,3,4,4} 12 (5,5)
Full image sqc10402 I41/amd 141 tetragonal {4,4,3,4,4} 24 (5,5)

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 UQC5284 *2244b (5,5,2) {4,4,3,4,4} {5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.... Snet sqc4534 Snet sqc10401 Snet sqc10402
Tiling details UQC5285 *2244a (5,5,2) {4,4,3,4,4} {5.5.5.5}{5.6.6.5}{5.6.6}{6.6.6.... Snet sqc10086 Snet sqc10377 Snet sqc4177

Symmetry-lowered hyperbolic tilings