h-net: hqc858


Topological data

Orbifold symbol*2(12)(12)
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,12,4,12}
2D vertex symbol {5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}
Vertex coordination sequence [(12, 12, 24, 156, 444, 1728, 4740, 19716, 54408), (4, 14, 36, 108, 462, 1370, 5154, 15296, 58716), (4, 28, 80, 316, 868, 3600, 9932, 40868, 112672), (12, 36, 168, 468, 1884, 5184, 21444, 59148)]
Delaney-Dress Symbol <858.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 12 4 12>
Dual net hqc596

Derived s-nets

s-nets with faithful topology

2 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 sqc10869 R-3m 166 rhombohedral {12,4,4,4,12,4} 20 (6,7)
Full image sqc10718 R-3 148 rhombohedral {12,4,4,4,12,4} 20 (6,8)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC6044 *2626 (6,7,2) {12,4,4,4,12,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.5.5.... Snet sqc10869 Snet sqc10718 Snet sqc10869

Symmetry-lowered hyperbolic tilings