h-net: hqc1992


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{12,3}
2D vertex symbol {6.4.4.3.4.4.6.4.4.3.4.4}{4.12.3}
Vertex coordination sequence [(12, 84, 540, 3444, 21952, 139928), (3, 12, 82, 539, 3444, 21952, 139928)]
Delaney-Dress Symbol <1992.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:6 4 4 3 12,12 3>
Dual net hqc2113

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 sqc8538 R-3m 166 rhombohedral {12,3} 15 (2,5)
Full image sqc8535 R-3m 166 rhombohedral {12,3} 15 (2,5)
Full image sqc8536 R-3m 166 rhombohedral {12,3} 15 (2,5)
Full image sqc8537 R-3m 166 rhombohedral {12,3} 15 (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 UQC2656 *2626 (2,5,5) {12,3} {6.4.4.3.4.4.6.4.4.3.4.4}{4.12.3} Snet sqc8538 Snet sqc8536 Snet sqc8537
Tiling details UQC2657 *2626 (2,5,5) {12,3} {6.4.4.3.4.4.6.4.4.3.4.4}{4.12.3} Snet sqc8537 Snet sqc8535 Snet sqc8538

Symmetry-lowered hyperbolic tilings