h-net: hqc1077


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{12,3}
2D vertex symbol {6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4}
Vertex coordination sequence [(3, 20, 138, 885, 5642, 35967, 229257), (12, 80, 512, 3264, 20804, 132612)]
Delaney-Dress Symbol <1077.2:9:1 2 4 6 7 8 9,1 3 4 7 9 8,2 5 6 8 9:6 3 4 6,12 3>
Dual net hqc1165

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 sqc6145 R-3m 166 rhombohedral {3,12} 9 (2,4)
Full image sqc6142 R-3 148 rhombohedral {3,12} 9 (2,5)
Full image sqc6143 R-3 148 rhombohedral {3,12} 9 (2,5)
Full image sqc6144 R-3m 166 rhombohedral {3,12} 9 (2,4)

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 UQC1571 *2626 (2,4,4) {12,3} {6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4} Snet sqc6145 Snet sqc6142 Snet sqc6144
Tiling details UQC1572 *2626 (2,4,4) {12,3} {6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4} Snet sqc6144 Snet sqc6143 Snet sqc6145

Symmetry-lowered hyperbolic tilings