h-net: hqc755


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,12,4}
2D vertex symbol {3.5.5.3}{3.5.5.3.5.5.3.5.5.3.5.5}{5.5.5.5}
Delaney-Dress Symbol <755.2:8:1 3 5 6 8,2 3 6 7 8,1 4 5 6 7 8:3 5,4 12 4>
Dual net hqc713

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 sqc7504 I41/a 88 tetragonal {4,12,4} 12 (3,5)
Full image sqc7505 I-42d 122 tetragonal {4,12,4} 12 (3,5)
Full image sqc1838 P-42m 111 tetragonal {4,12,4} 6 (3,4)
Full image sqc7551 I41/amd 141 tetragonal {4,12,4} 12 (3,4)

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 UQC3553 *2244a (3,4,2) {4,12,4} {3.5.5.3}{3.5.5.3.5.5.3.5.5.3.5.... No s‑net Snet sqc7505 Snet sqc1838
Tiling details UQC3554 *2244b (3,4,2) {4,12,4} {3.5.5.3}{3.5.5.3.5.5.3.5.5.3.5.... Snet sqc1018 Snet sqc7504 Snet sqc7551

Symmetry-lowered hyperbolic tilings