h-net: hqc1900


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,16,4,4}
2D vertex symbol {5.3.3.5}{5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5}
Delaney-Dress Symbol <1900.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 16 4 4>
Dual net hqc1754

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 sqc10191 I41/a 88 tetragonal {4,16,4,4} 16 (4,6)
Full image sqc10192 I-42d 122 tetragonal {4,16,4,4} 16 (4,6)
Full image sqc4223 P-42m 111 tetragonal {4,16,4,4} 8 (4,5)
Full image sqc10219 I41/amd 141 tetragonal {4,16,4,4} 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 UQC5106 *2244a (4,5,2) {4,16,4,4} {5.3.3.5}{5.5.3.3.5.5.3.3.5.5.3.... No s‑net Snet sqc10192 Snet sqc4223
Tiling details UQC5107 *2244b (4,5,2) {4,16,4,4} {5.3.3.5}{5.5.3.3.5.5.3.3.5.5.3.... Snet sqc3064 Snet sqc10191 Snet sqc10219

Symmetry-lowered hyperbolic tilings