h-net: hqc2197


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{3,7}
2D vertex symbol {4.4.4}{4.12.12.4.4.6.4}
Vertex coordination sequence [(7, 28, 99, 346, 1209, 4224, 14751, 51510), (3, 7, 26, 98, 346, 1209, 4224, 14751, 51510)]
Delaney-Dress Symbol <2197.2:13:1 2 3 5 7 8 9 10 11 12 13,2 4 11 8 9 10 13,3 8 6 7 10 12 13:4 4 4 6 12,3 7>
Dual net hqc2261

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 sqc9338 R-3m 166 rhombohedral {7,3} 18 (2,6)
Full image sqc9335 R-3 148 rhombohedral {7,3,3} 18 (3,7)
Full image sqc9336 R-3 148 rhombohedral {7,3,3} 18 (3,7)
Full image sqc9337 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 UQC2906 *2626 (2,6,5) {7,3} {4.4.4}{4.12.12.4.4.6.4} Snet sqc9338 Snet sqc9335 Snet sqc9337
Tiling details UQC2907 *2626 (2,6,5) {7,3} {4.4.4}{4.12.12.4.4.6.4} Snet sqc9337 Snet sqc9336 Snet sqc9338

Symmetry-lowered hyperbolic tilings