h-net: hqc564


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,3,4}
2D vertex symbol {5.12.5}{5.5.12}{5.5.5.5}
Vertex coordination sequence [(3, 6, 10, 14, 20, 29, 42, 57, 78, 106), (3, 7, 10, 14, 20, 31, 43, 58, 77, 109), (4, 8, 8, 12, 24, 32, 44, 56, 76, 112)]
Delaney-Dress Symbol <564.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 12,3 3 4>
Dual net hqc417

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 sqc13199 Im-3m 229 cubic {3,3,4} 54 (3,3)
Full image sqc14408 Ia-3d 230 cubic {3,3,4} 108 (3,4)
Full image sqc13198 Pn-3m 224 cubic {3,3,4} 54 (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 UQC3499 *246 (3,3,2) {3,3,4} {5.12.5}{5.5.12}{5.5.5.5} Snet sqc13199 Snet sqc14408 Snet sqc13198

Symmetry-lowered hyperbolic tilings