h-net: hqc2349


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(6,6,2)
Vertex degrees{6,4,3,4,12,4}
2D vertex symbol {4.4.4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(6, 12, 24, 144, 378, 1704, 4362, 19224, 49272), (4, 10, 36, 102, 442, 1262, 5064, 14270, 57346), (3, 8, 32, 96, 381, 1142, 4349, 12936, 49374), (4, 28, 72, 316, 808, 3584, 9192, 40716, 104368), (12, 36, 168, 432, 1884, 4824, 21372, 54792), (4, 26, 68, 310, 796, 3464, 8960, 39394, 101716)]
Delaney-Dress Symbol <2349.2:14:2 4 6 8 10 12 14,1 3 4 7 14 9 11 13,1 2 5 6 7 8 9 10 11 12 13 14:4 5,6 4 3 4 12 4>
Dual net hqc2279

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 sqc9963 R-3m 166 rhombohedral {6,4,3,4,12,4} 20 (6,6)
Full image sqc9938 R-3 148 rhombohedral {6,4,3,4,12,4} 20 (6,7)
Full image sqc9939 R-3 148 rhombohedral {6,4,3,4,12,4} 20 (6,7)
Full image sqc9962 R-3m 166 rhombohedral {6,4,3,4,12,4} 20 (6,6)

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 UQC5887 *2626 (6,6,2) {6,4,3,4,12,4} {4.4.4.4.4.4}{4.5.5.4}{4.5.5}{5.... Snet sqc9963 Snet sqc9939 Snet sqc9962
Tiling details UQC5888 *2626 (6,6,2) {6,4,3,4,12,4} {4.4.4.4.4.4}{4.5.5.4}{4.5.5}{5.... Snet sqc9962 Snet sqc9938 Snet sqc9963

Symmetry-lowered hyperbolic tilings