h-net: hqc1552


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{6,3,3,4,6}
2D vertex symbol {4.4.4.4.4.4}{4.12.4}{4.12.12}{12.12.12.12}{12.12.12.12.12.12}
Vertex coordination sequence [(6, 6, 6, 18, 72, 198, 570, 1296, 3528, 7674), (3, 7, 10, 28, 78, 239, 565, 1558, 3423, 9339), (3, 6, 18, 42, 123, 292, 817, 1812, 4956, 10982), (4, 14, 36, 102, 228, 620, 1356, 3722, 8312, 22990), (6, 18, 54, 126, 342, 732, 1986, 4410, 12210, 27390)]
Delaney-Dress Symbol <1552.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 12,6 3 3 4 6>
Dual net hqc1326

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 sqc7173 R-3m 166 rhombohedral {6,3,3,4,6} 17 (5,4)
Full image sqc7069 R-3m 166 rhombohedral {6,3,3,4,6} 17 (5,4)
Full image sqc7072 R-3m 166 rhombohedral {6,3,3,4,6} 17 (5,4)
Full image sqc7068 R-3m 166 rhombohedral {6,3,3,4,6} 17 (5,4)

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 UQC5241 *2626 (5,4,2) {6,3,3,4,6} {4.4.4.4.4.4}{4.12.4}{4.12.12}{1... Snet sqc7173 Snet sqc7072 Snet sqc7068
Tiling details UQC5242 *2626 (5,4,2) {6,3,3,4,6} {4.4.4.4.4.4}{4.12.4}{4.12.12}{1... Snet sqc7068 Snet sqc7069 Snet sqc7173

Symmetry-lowered hyperbolic tilings