h-net: hqc577


Topological data

Orbifold symbol2*26
Transitivity (vertex, edge, ring)(1,4,3)
Vertex degrees{4}
2D vertex symbol {4.4.4.12}
Vertex coordination sequence [(4, 9, 18, 36, 72, 143, 282, 556, 1098, 2169)]
Delaney-Dress Symbol <577.1:8:1 2 3 4 5 7 8,2 4 6 8,3 8 5 7:4 12 4,4>
Dual net hqc915

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 sqc5575 cha R-3m 166 rhombohedral {4} 12 (1,4)
Full image sqc11212 R-3c 167 rhombohedral {4,4} 24 (2,5)
Full image sqc11216 R-3c 167 rhombohedral {4,4} 24 (2,5)
Full image sqc5582 uma R-3m 166 rhombohedral {4} 12 (1,4)

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 UQC3217 *2626 (2,7,6) {4,4} {4.4.4.12}{4.4.12.4} Snet sqc5575 Snet sqc11216 Snet sqc5582
Tiling details UQC3218 *2626 (2,7,6) {4,4} {4.4.4.12}{4.4.12.4} Snet sqc5582 Snet sqc11212 Snet sqc5575

Symmetry-lowered hyperbolic tilings