h-net: hqc1889


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,3,6,4,6}
2D vertex symbol {7.4.4.7}{7.7.4}{4.4.4.4.4.4}{7.7.7.7}{7.7.7.7.7.7}
Vertex coordination sequence [(4, 10, 22, 54, 140, 356, 910, 2342, 5892, 15002), (3, 8, 24, 58, 153, 388, 995, 2492, 6392, 16086), (6, 12, 24, 60, 138, 372, 966, 2424, 6216, 15792), (4, 14, 40, 106, 268, 680, 1704, 4350, 10936, 27970), (6, 18, 54, 138, 354, 876, 2238, 5622, 14346, 36138)]
Delaney-Dress Symbol <1889.2:11:1 3 5 7 9 11,2 8 6 5 7 10 11,1 4 5 6 7 8 9 10 11:7 4,4 3 6 4 6>
Dual net hqc1682

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 sqc8214 R-3m 166 rhombohedral {4,3,6,4,6} 17 (5,5)
Full image sqc8204 R-3 148 rhombohedral {4,3,6,4,6} 17 (5,6)
Full image sqc8208 R-3 148 rhombohedral {4,3,6,4,6} 17 (5,6)
Full image sqc8203 R-3m 166 rhombohedral {4,3,6,4,6} 17 (5,5)

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 UQC5306 *2626 (5,5,2) {4,3,6,4,6} {7.4.4.7}{7.7.4}{4.4.4.4.4.4}{7.... Snet sqc8214 Snet sqc8208 Snet sqc8203
Tiling details UQC5307 *2626 (5,5,2) {4,3,6,4,6} {7.4.4.7}{7.7.4}{4.4.4.4.4.4}{7.... Snet sqc8203 Snet sqc8204 Snet sqc8214

Symmetry-lowered hyperbolic tilings