h-net: hqc886


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,12,6}
2D vertex symbol {8.3.3}{8.3.3.8.3.3.8.3.3.8.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(3, 21, 27, 115, 145, 589, 759, 3047, 3925, 15797), (12, 12, 72, 68, 376, 348, 1956, 1800, 10128, 9328), (6, 27, 27, 156, 141, 801, 738, 4143, 3819, 21468)]
Delaney-Dress Symbol <886.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:8 3,3 12 6>
Dual net hqc656

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 sqc13308 Pm-3n 223 cubic {3,12,6} 38 (3,3)
Full image sqc13307 I-43d 220 cubic {3,12,6} 38 (3,4)
Full image sqc10939 P-43m 215 cubic {12,3,6} 19 (3,3)

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 UQC3838 *344 (3,3,2) {3,12,6} {8.3.3}{8.3.3.8.3.3.8.3.3.8.3.3}... Snet sqc13308 Snet sqc13307 Snet sqc10939

Symmetry-lowered hyperbolic tilings