h-net: hqc1811


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,18,12,4}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 42, 68, 694, 1180, 11388, 20148, 187250), (18, 24, 294, 432, 4842, 7368, 79518), (12, 24, 240, 384, 3924, 6696, 64404), (4, 52, 76, 856, 1300, 14060, 22364, 230848)]
Delaney-Dress Symbol <1811.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 18 12 4>
Dual net hqc1664

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 sqc8213 R-3m 166 rhombohedral {4,18,12,4} 11 (4,5)
Full image sqc8212 R-3m 166 rhombohedral {4,18,12,4} 11 (4,6)
Full image sqc8217 R-3m 166 rhombohedral {4,18,12,4} 11 (4,6)
Full image sqc8216 R-3m 166 rhombohedral {4,18,12,4} 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 UQC4944 *2626 (4,5,2) {4,18,12,4} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc8213 Snet sqc8217 Snet sqc8216
Tiling details UQC4945 *2626 (4,5,2) {4,18,12,4} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc8216 Snet sqc8212 Snet sqc8213

Symmetry-lowered hyperbolic tilings