h-net: hqc522


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,6}
2D vertex symbol {18.4.18}{18.4.4.18.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(3, 11, 29, 85, 228, 627, 1751, 4767, 13291, 36414), (6, 14, 46, 114, 326, 902, 2442, 6886, 18660, 52046), (6, 24, 48, 150, 396, 1098, 3096, 8304, 23442, 63696)]
Delaney-Dress Symbol <522.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:18 4,3 6 6>
Dual net hqc409

Derived s-nets

s-nets with faithful topology

4 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 sqc3934 R-3m 166 rhombohedral {3,6,6} 10 (3,3)
Full image sqc3936 R-3 148 rhombohedral {3,6,6} 10 (3,4)
Full image sqc3939 R-3 148 rhombohedral {3,6,6} 10 (3,4)
Full image sqc3958 R-3m 166 rhombohedral {3,6,6} 10 (3,3)

s-nets with edge collapse

No items to display.

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 UQC3416 *2626 (3,3,2) {3,6,6} {18.4.18}{18.4.4.18.4.4}{4.4.4.4... Snet sqc3934 Snet sqc3936 Snet sqc3958
Tiling details UQC3417 *2626 (3,3,2) {3,6,6} {18.4.18}{18.4.4.18.4.4}{4.4.4.4... Snet sqc3958 Snet sqc3939 Snet sqc3934

Symmetry-lowered hyperbolic tilings