h-net: hqc1097


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,4,6}
2D vertex symbol {6.6.6.6.6.6.6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.3.3.3.3}
Vertex coordination sequence [(12, 84, 528, 3228, 19716, 120552), (4, 28, 168, 1028, 6296, 38496, 235372), (4, 8, 32, 198, 1236, 7574, 46312), (6, 6, 18, 138, 858, 5280, 32298, 197430)]
Delaney-Dress Symbol <1097.2:9:1 3 5 6 7 9,2 4 6 8 9,1 2 3 4 5 7 8 9:6 3,12 4 4 6>
Dual net hqc920

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 sqc6124 R-3m 166 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6119 R-3m 166 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6132 R-3m 166 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6130 R-3m 166 rhombohedral {12,4,4,6} 11 (4,5)

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 UQC4265 *2626 (4,5,2) {12,4,4,6} {6.6.6.6.6.6.6.6.6.6.6.6}{6.6.6.... Snet sqc6124 Snet sqc6119 Snet sqc6130
Tiling details UQC4266 *2626 (4,5,2) {12,4,4,6} {6.6.6.6.6.6.6.6.6.6.6.6}{6.6.6.... Snet sqc6130 Snet sqc6132 Snet sqc6124

Symmetry-lowered hyperbolic tilings