h-net: hqc428


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,12}
2D vertex symbol {6.6.3.3.6}{6.3.6.3.6.3.6.3.6.3.6.3}
Vertex coordination sequence [(5, 30, 107, 448, 1945, 7694, 32219, 133932), (12, 30, 150, 678, 2448, 10836, 44808)]
Delaney-Dress Symbol <428.2:7:1 2 4 6 7,1 3 4 7 6,2 5 6 7:6 6 3,5 12>
Dual net hqc566

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 sqc3955 R-3m 166 rhombohedral {5,12} 7 (2,3)
Full image sqc3942 R-3m 166 rhombohedral {5,12} 7 (2,4)
Full image sqc3944 R-3m 166 rhombohedral {5,12} 7 (2,4)
Full image sqc3943 R-3m 166 rhombohedral {5,12} 7 (2,3)

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 UQC649 *2626 (2,3,3) {5,12} {6.6.3.3.6}{6.3.6.3.6.3.6.3.6.3.... Snet sqc3955 Snet sqc3942 Snet sqc3943
Tiling details UQC650 *2626 (2,3,3) {5,12} {6.6.3.3.6}{6.3.6.3.6.3.6.3.6.3.... Snet sqc3943 Snet sqc3944 Snet sqc3955

Symmetry-lowered hyperbolic tilings