h-net: hqc433


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,4,12}
2D vertex symbol {6.6.6}{6.6.6.6}{6.6.6.6.6.6.6.6.6.6.6.6}
Vertex coordination sequence [(3, 7, 31, 193, 1192, 7291, 44573, 272493), (4, 26, 166, 1008, 6152, 37632, 230066), (12, 84, 516, 3156, 19296, 117948)]
Delaney-Dress Symbol <433.2:7:1 2 4 6 7,1 3 5 7,2 3 4 5 6 7:6 6,3 4 12>
Dual net hqc335

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 sqc3909 R-3m 166 rhombohedral {3,4,12} 10 (3,4)
Full image sqc3899 R-3m 166 rhombohedral {3,4,12} 10 (3,4)
Full image sqc3915 R-3m 166 rhombohedral {3,4,12} 10 (3,4)
Full image sqc3913 R-3m 166 rhombohedral {3,4,12} 10 (3,4)

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 UQC3335 *2626 (3,4,2) {3,4,12} {6.6.6}{6.6.6.6}{6.6.6.6.6.6.6.6... Snet sqc3909 Snet sqc3899 Snet sqc3913
Tiling details UQC3336 *2626 (3,4,2) {3,4,12} {6.6.6}{6.6.6.6}{6.6.6.6.6.6.6.6... Snet sqc3913 Snet sqc3915 Snet sqc3909

Symmetry-lowered hyperbolic tilings