h-net: hqc2113


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,4,3,12}
2D vertex symbol {12.12.12.12.12.12}{12.12.12.12}{12.3.3.12}{12.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 66, 198, 390, 1164, 2682, 8010, 19662, 58566), (4, 16, 48, 120, 360, 776, 2316, 5552, 16556, 39504), (4, 12, 18, 54, 180, 538, 1272, 3786, 8522, 25434), (3, 11, 10, 38, 130, 384, 1125, 2747, 7058, 18362), (12, 6, 18, 78, 234, 678, 2004, 4242, 12666, 29634)]
Delaney-Dress Symbol <2113.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:12 3,6 4 4 3 12>
Dual net hqc1992

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 sqc8945 R-3m 166 rhombohedral {6,4,4,3,12} 17 (5,5)
Full image sqc8554 R-3m 166 rhombohedral {6,4,4,3,12} 17 (5,5)
Full image sqc8557 R-3m 166 rhombohedral {6,4,4,3,12} 17 (5,5)
Full image sqc8553 R-3m 166 rhombohedral {6,4,4,3,12} 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 UQC5491 *2626 (5,5,2) {6,4,4,3,12} {12.12.12.12.12.12}{12.12.12.12}... Snet sqc8945 Snet sqc8557 Snet sqc8553
Tiling details UQC5492 *2626 (5,5,2) {6,4,4,3,12} {12.12.12.12.12.12}{12.12.12.12}... Snet sqc8553 Snet sqc8554 Snet sqc8945

Symmetry-lowered hyperbolic tilings