h-net: hqc171


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,4}
2D vertex symbol {18.12.18}{18.12.18.12}
Vertex coordination sequence [(3, 8, 18, 42, 102, 233, 552, 1293, 3014, 7100), (4, 8, 20, 48, 108, 262, 604, 1416, 3342, 7764)]
Delaney-Dress Symbol <171.2:5:1 3 5,2 3 4 5,1 4 5:18 12,3 4>
Dual net hqc153

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 sqc1575 fof R-3m 166 rhombohedral {3,4} 9 (2,2)
Full image sqc1573 R-3 148 rhombohedral {3,4} 9 (2,3)
Full image sqc1574 R-3 148 rhombohedral {3,4} 9 (2,3)
Full image sqc1572 fog R-3m 166 rhombohedral {3,4} 9 (2,2)

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 UQC189 *2626 (2,2,2) {3,4} {18.12.18}{18.12.18.12} Snet sqc1575 Snet sqc1574 Snet sqc1572
Tiling details UQC190 *2626 (2,2,2) {3,4} {18.12.18}{18.12.18.12} Snet sqc1572 Snet sqc1573 Snet sqc1575

Symmetry-lowered hyperbolic tilings