h-net: hqc1154


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,4,6}
2D vertex symbol {18.6.18}{18.6.6}{6.6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(3, 6, 13, 33, 80, 195, 460, 1111, 2612, 6269), (3, 7, 18, 42, 104, 242, 594, 1376, 3347, 7813), (4, 14, 34, 86, 194, 482, 1098, 2706, 6238, 15260), (6, 18, 48, 108, 270, 606, 1500, 3438, 8454, 19548)]
Delaney-Dress Symbol <1154.2:9:1 3 5 7 9,2 3 4 6 8 9,1 4 5 6 7 8 9:18 6,3 3 4 6>
Dual net hqc946

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 sqc6155 R-3m 166 rhombohedral {3,3,4,6} 16 (4,4)
Full image sqc6146 R-3 148 rhombohedral {3,3,4,6} 16 (4,5)
Full image sqc6153 R-3 148 rhombohedral {3,3,4,6} 16 (4,5)
Full image sqc6168 R-3m 166 rhombohedral {3,3,4,6} 16 (4,4)

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 UQC4298 *2626 (4,4,2) {3,3,4,6} {18.6.18}{18.6.6}{6.6.6.6}{6.6.6... Snet sqc6155 Snet sqc6153 Snet sqc6168
Tiling details UQC4299 *2626 (4,4,2) {3,3,4,6} {18.6.18}{18.6.6}{6.6.6.6}{6.6.6... Snet sqc6168 Snet sqc6146 Snet sqc6155

Symmetry-lowered hyperbolic tilings