h-net: hqc1863


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,18,4}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3}{3.3.3.3}
Vertex coordination sequence [(12, 84, 588, 3096, 17316, 94776), (4, 42, 108, 894, 4460, 27548, 147326), (18, 18, 210, 900, 6690, 34374, 199566), (4, 32, 48, 468, 2336, 15304, 80964)]
Delaney-Dress Symbol <1863.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,12 4 18 4>
Dual net hqc1715

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 sqc8185 R-3m 166 rhombohedral {12,4,18,4} 11 (4,5)
Full image sqc8177 R-3m 166 rhombohedral {12,4,18,4} 11 (4,6)
Full image sqc8195 R-3m 166 rhombohedral {12,4,18,4} 11 (4,6)
Full image sqc8196 R-3m 166 rhombohedral {12,4,18,4} 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 UQC5053 *2626 (4,5,2) {12,4,18,4} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc8185 Snet sqc8177 Snet sqc8196
Tiling details UQC5054 *2626 (4,5,2) {12,4,18,4} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc8196 Snet sqc8195 Snet sqc8185

Symmetry-lowered hyperbolic tilings