h-net: hqc1255


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,6,6,6}
2D vertex symbol {5.4.4.5}{5.5.4.5.5.4}{4.4.4.4.4.4}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 16, 48, 172, 522, 1828, 5574, 19320, 59736), (6, 20, 78, 220, 810, 2360, 8546, 25372, 90142), (6, 12, 42, 144, 486, 1512, 5154, 16224, 54510), (6, 30, 78, 300, 846, 3138, 9138, 33096, 98058)]
Delaney-Dress Symbol <1255.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 4,4 6 6 6>
Dual net hqc1069

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 sqc6172 R-3m 166 rhombohedral {4,6,6,6} 11 (4,4)
Full image sqc6152 R-3 148 rhombohedral {4,6,6,6} 11 (4,5)
Full image sqc6157 R-3 148 rhombohedral {4,6,6,6} 11 (4,5)
Full image sqc6151 R-3m 166 rhombohedral {4,6,6,6} 11 (4,4)

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 UQC4409 *2626 (4,4,2) {4,6,6,6} {5.4.4.5}{5.5.4.5.5.4}{4.4.4.4.4... Snet sqc6172 Snet sqc6157 Snet sqc6151
Tiling details UQC4410 *2626 (4,4,2) {4,6,6,6} {5.4.4.5}{5.5.4.5.5.4}{4.4.4.4.4... Snet sqc6151 Snet sqc6152 Snet sqc6172

Symmetry-lowered hyperbolic tilings