h-net: hqc2186


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{7,3}
2D vertex symbol {12.4.4.3.4.4.12}{4.12.3}
Vertex coordination sequence [(7, 28, 99, 346, 1209, 4224, 14751, 51510), (3, 7, 26, 98, 346, 1209, 4224, 14751, 51510)]
Delaney-Dress Symbol <2186.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 13 8 10 12,1 3 5 8 9 11 13:12 4 4 3 12,7 3>
Dual net hqc2253

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 sqc9328 R-3m 166 rhombohedral {7,3} 18 (2,6)
Full image sqc9327 R-3 148 rhombohedral {7,3,3} 18 (3,7)
Full image sqc9333 R-3 148 rhombohedral {7,3,3} 18 (3,7)
Full image sqc9329 R-3m 166 rhombohedral {7,3} 18 (2,6)

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 UQC2884 *2626 (2,6,5) {7,3} {12.4.4.3.4.4.12}{4.12.3} Snet sqc9328 Snet sqc9327 Snet sqc9329
Tiling details UQC2885 *2626 (2,6,5) {7,3} {12.4.4.3.4.4.12}{4.12.3} Snet sqc9329 Snet sqc9333 Snet sqc9328

Symmetry-lowered hyperbolic tilings