h-net: hqc1835


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,12,4}
2D vertex symbol {18.4.4.18}{18.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 16, 38, 112, 304, 830, 2320, 6316, 17520, 48116), (3, 7, 28, 68, 196, 540, 1464, 4100, 11167, 30939), (12, 24, 84, 204, 588, 1620, 4392, 12300, 33504, 92820), (4, 22, 42, 146, 366, 1030, 2874, 7754, 21726, 59252)]
Delaney-Dress Symbol <1835.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:18 4,4 3 12 4>
Dual net hqc1663

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 sqc8209 R-3m 166 rhombohedral {4,3,12,4} 16 (4,5)
Full image sqc8210 R-3 148 rhombohedral {4,3,12,4} 16 (4,6)
Full image sqc8211 R-3 148 rhombohedral {4,3,12,4} 16 (4,6)
Full image sqc8219 R-3m 166 rhombohedral {4,3,12,4} 16 (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 UQC5010 *2626 (4,5,2) {4,3,12,4} {18.4.4.18}{18.4.4}{4.4.4.4.4.4.... Snet sqc8209 Snet sqc8211 Snet sqc8219
Tiling details UQC5011 *2626 (4,5,2) {4,3,12,4} {18.4.4.18}{18.4.4}{4.4.4.4.4.4.... Snet sqc8219 Snet sqc8210 Snet sqc8209

Symmetry-lowered hyperbolic tilings