h-net: hqc1216


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{12,6,3,6}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5.5.4.5}{5.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 96, 588, 3624, 22260, 137028), (6, 28, 198, 1188, 7390, 45352, 279350), (3, 13, 52, 369, 2229, 13902, 85255), (6, 6, 24, 138, 1002, 6000, 37254, 228654)]
Delaney-Dress Symbol <1216.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,12 6 3 6>
Dual net hqc979

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 sqc6123 R-3m 166 rhombohedral {12,6,3,6} 11 (4,4)
Full image sqc6118 R-3m 166 rhombohedral {12,6,3,6} 11 (4,4)
Full image sqc6131 R-3m 166 rhombohedral {12,6,3,6} 11 (4,4)
Full image sqc6129 R-3m 166 rhombohedral {12,6,3,6} 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 UQC4335 *2626 (4,4,2) {12,6,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5.... Snet sqc6123 Snet sqc6118 Snet sqc6129
Tiling details UQC4336 *2626 (4,4,2) {12,6,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5.... Snet sqc6129 Snet sqc6131 Snet sqc6123

Symmetry-lowered hyperbolic tilings