h-net: hqc1418


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{7,3}
2D vertex symbol {12.4.3.6.3.4.12}{4.4.3}
Vertex coordination sequence [(3, 10, 40, 141, 494, 1729, 6035, 21074, 73595), (7, 26, 91, 318, 1111, 3882, 13555, 47334)]
Delaney-Dress Symbol <1418.2:10:1 2 3 5 7 8 9 10,2 4 10 8 7 9,1 3 6 7 9 10:12 4 3 6,7 3>
Dual net hqc1456

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 sqc7262 R-3m 166 rhombohedral {3,7} 12 (2,5)
Full image sqc7263 R-3 148 rhombohedral {3,7} 12 (2,6)
Full image sqc7268 R-3 148 rhombohedral {3,7} 12 (2,6)
Full image sqc7267 R-3m 166 rhombohedral {3,7} 12 (2,5)

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 UQC1933 *2626 (2,5,4) {7,3} {12.4.3.6.3.4.12}{4.4.3} Snet sqc7262 Snet sqc7263 Snet sqc7267
Tiling details UQC1934 *2626 (2,5,4) {7,3} {12.4.3.6.3.4.12}{4.4.3} Snet sqc7267 Snet sqc7268 Snet sqc7262

Symmetry-lowered hyperbolic tilings