h-net: hqc2253


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{12,4,4,3,12}
2D vertex symbol {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 84, 540, 3348, 20376, 124572), (4, 28, 180, 1048, 6516, 39796, 243228), (4, 12, 30, 182, 1136, 7084, 43170, 264196), (3, 11, 10, 58, 390, 2396, 14757, 90317), (12, 6, 18, 138, 894, 5394, 33468, 204030)]
Delaney-Dress Symbol <2253.2:13:1 3 5 7 9 11 13,2 4 6 7 10 13 12,1 2 3 4 5 8 9 10 11 12 13:7 3,12 4 4 3 12>
Dual net hqc2186

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 sqc9306 R-3m 166 rhombohedral {12,4,4,3,12} 17 (5,6)
Full image sqc9303 R-3m 166 rhombohedral {12,4,4,3,12} 17 (5,6)
Full image sqc9310 R-3m 166 rhombohedral {12,4,4,3,12} 17 (5,6)
Full image sqc9309 R-3m 166 rhombohedral {12,4,4,3,12} 17 (5,6)

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 UQC5699 *2626 (5,6,2) {12,4,4,3,12} {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.... Snet sqc9306 Snet sqc9303 Snet sqc9309
Tiling details UQC5700 *2626 (5,6,2) {12,4,4,3,12} {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.... Snet sqc9309 Snet sqc9310 Snet sqc9306

Symmetry-lowered hyperbolic tilings