h-net: hqc883


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,12,8}
2D vertex symbol {6.3.3}{6.3.3.6.3.3.6.3.3.6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 23, 47, 163, 324, 1120, 2217, 7683, 15187, 52671), (12, 20, 100, 144, 684, 992, 4684, 6804, 32100, 46640), (8, 36, 56, 260, 380, 1788, 2600, 12260, 17816, 84036)]
Delaney-Dress Symbol <883.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:6 3,3 12 8>
Dual net hqc659

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 sqc13304 Pm-3n 223 cubic {3,12,8} 36 (3,3)
Full image sqc13305 I-43d 220 cubic {3,12,8} 36 (3,4)
Full image sqc10932 Pm-3m 221 cubic {3,8,12} 18 (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 UQC3835 *344 (3,3,2) {3,12,8} {6.3.3}{6.3.3.6.3.3.6.3.3.6.3.3}... Snet sqc13304 Snet sqc13305 Snet sqc10932

Symmetry-lowered hyperbolic tilings