h-net: hqc1664


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,3}
2D vertex symbol {12.4.18.4}{18.4.4}
Vertex coordination sequence [(3, 6, 14, 30, 60, 124, 256, 522, 1069, 2196), (4, 9, 18, 37, 77, 158, 323, 663, 1360, 2786)]
Delaney-Dress Symbol <1664.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:12 4 18 4,4 3>
Dual net hqc1811

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 sqc8262 R-3m 166 rhombohedral {3,4} 18 (2,5)
Full image sqc8259 R-3 148 rhombohedral {3,4,4} 18 (3,6)
Full image sqc8260 R-3 148 rhombohedral {3,4,4} 18 (3,6)
Full image sqc8261 R-3m 166 rhombohedral {3,4} 18 (2,5)

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 UQC2045 *2626 (2,5,4) {3,4} {12.4.18.4}{18.4.4} Snet sqc8262 Snet sqc8260 Snet sqc8261
Tiling details UQC2046 *2626 (2,5,4) {3,4} {12.4.18.4}{18.4.4} Snet sqc8261 Snet sqc8259 Snet sqc8262

Symmetry-lowered hyperbolic tilings