h-net: hqc1242


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,4,6}
2D vertex symbol {7.12.7}{7.7.12}{7.7.7.7}{7.7.7.7.7.7}
Vertex coordination sequence [(3, 6, 14, 38, 98, 257, 632, 1605, 3928, 9966), (3, 7, 20, 48, 132, 319, 823, 1990, 5101, 12359), (4, 14, 38, 98, 234, 598, 1436, 3708, 8936, 23070), (6, 18, 54, 126, 318, 756, 1950, 4686, 12138, 29262)]
Delaney-Dress Symbol <1242.2:9:1 3 5 7 9,2 6 4 5 8 9,1 4 5 6 7 8 9:7 12,3 3 4 6>
Dual net hqc954

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 sqc6169 R-3m 166 rhombohedral {3,3,4,6} 16 (4,4)
Full image sqc6156 R-3 148 rhombohedral {3,3,4,6} 16 (4,5)
Full image sqc6158 R-3 148 rhombohedral {3,3,4,6} 16 (4,5)
Full image sqc6154 R-3m 166 rhombohedral {3,3,4,6} 16 (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 UQC4391 *2626 (4,4,2) {3,3,4,6} {7.12.7}{7.7.12}{7.7.7.7}{7.7.7.... Snet sqc6169 Snet sqc6158 Snet sqc6154
Tiling details UQC4392 *2626 (4,4,2) {3,3,4,6} {7.12.7}{7.7.12}{7.7.7.7}{7.7.7.... Snet sqc6154 Snet sqc6156 Snet sqc6169

Symmetry-lowered hyperbolic tilings