h-net: hqc2066


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,12,4}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 8, 40, 68, 184, 272, 688, 1016, 2568, 3792), (4, 14, 24, 78, 120, 310, 458, 1158, 1710, 4322), (3, 6, 22, 38, 114, 171, 436, 644, 1628, 2404), (12, 24, 72, 108, 276, 408, 1032, 1524, 3852, 5688), (4, 22, 40, 116, 172, 436, 644, 1628, 2404, 6076)]
Delaney-Dress Symbol <2066.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 4 3 12 4>
Dual net hqc1955

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 sqc14174 Im-3m 229 cubic {4,3,4,4,12} 70 (5,5)
Full image sqc14511 Ia-3d 230 cubic {4,4,3,12,4} 140 (5,6)
Full image sqc14173 Pn-3m 224 cubic {4,4,3,4,12} 70 (5,5)

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 UQC5417 *246 (5,5,2) {4,4,3,12,4} {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.... Snet sqc14174 Snet sqc14511 Snet sqc14173

Symmetry-lowered hyperbolic tilings