h-net: hqc1891


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,4,6,6}
2D vertex symbol {5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6.6.6.6}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 8, 21, 55, 132, 385, 1016, 2845, 7367, 20419), (4, 12, 32, 74, 218, 566, 1618, 4104, 11630, 29304), (4, 16, 44, 128, 328, 924, 2292, 6576, 16612, 47420), (6, 18, 60, 168, 462, 1116, 3198, 8022, 23052, 58404), (6, 18, 30, 96, 258, 750, 1938, 5448, 13494, 38706)]
Delaney-Dress Symbol <1891.2:11:1 3 5 7 9 11,2 10 4 6 8 9 11,1 4 5 6 7 8 9 10 11:5 6,3 4 4 6 6>
Dual net hqc1685

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 sqc8200 R-3m 166 rhombohedral {3,4,4,6,6} 17 (5,5)
Full image sqc8199 R-3 148 rhombohedral {3,4,4,6,6} 17 (5,6)
Full image sqc8207 R-3 148 rhombohedral {3,4,4,6,6} 17 (5,6)
Full image sqc8237 R-3m 166 rhombohedral {3,4,4,6,6} 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 UQC5309 *2626 (5,5,2) {3,4,4,6,6} {5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6.... Snet sqc8200 Snet sqc8199 Snet sqc8237
Tiling details UQC5310 *2626 (5,5,2) {3,4,4,6,6} {5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6.... Snet sqc8237 Snet sqc8207 Snet sqc8200

Symmetry-lowered hyperbolic tilings