h-net: hqc491


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{12,3,6}
2D vertex symbol {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 40, 112, 292, 768, 2008, 5260, 13768, 36048, 94372), (3, 22, 57, 161, 424, 1110, 2908, 7610, 19928, 52166), (6, 6, 42, 120, 318, 834, 2178, 5712, 14940, 39132)]
Delaney-Dress Symbol <491.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:3 4,12 3 6>
Dual net hqc406

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 sqc13047 Im-3m 229 cubic {3,12,6} 34 (3,3)
Full image sqc14355 Ia-3d 230 cubic {12,3,6} 68 (3,4)
Full image sqc13034 Pn-3m 224 cubic {3,6,12} 34 (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 UQC3370 *246 (3,3,2) {12,3,6} {3.4.3.3.4.3.3.4.3.3.4.3}{3.4.4}... Snet sqc13047 Snet sqc14355 Snet sqc13034

Symmetry-lowered hyperbolic tilings