h-net: hqc1027


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,18}
2D vertex symbol {12.4.3}{3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4}
Vertex coordination sequence [(18, 102, 504, 2418, 11586, 55512), (3, 18, 100, 503, 2418, 11586, 55512)]
Delaney-Dress Symbol <1027.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:12 3 4,3 18>
Dual net hqc1202

Derived s-nets

s-nets with faithful topology

3 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 sqc13611 Pn-3m 224 cubic {18,3} 52 (2,4)
Full image sqc13602 Ia-3 206 cubic {18,3,3} 52 (3,5)
Full image sqc13601 Fd-3m 227 cubic {18,3} 52 (2,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC1141 *266 (2,4,3) {18,3} {12.4.3}{3.4.4.3.4.4.3.4.4.3.4.4... Snet sqc13611 Snet sqc13602 Snet sqc13601

Symmetry-lowered hyperbolic tilings