h-net: hqc686


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,4)
Vertex degrees{4,12}
2D vertex symbol {4.3.3.3}{3.3.4.3.3.3.4.3.3.3.4.3}
Vertex coordination sequence [(4, 19, 85, 322, 1202, 4486, 16742, 62482), (12, 54, 204, 762, 2844, 10614, 39612, 147834)]
Delaney-Dress Symbol <686.2:8:1 2 4 6 7 8,1 3 4 5 7 8,2 5 6 8:4 3 3 4,4 12>
Dual net hqc905

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 sqc13285 Pm-3n 223 cubic {4,12} 32 (2,3)
Full image sqc13284 I-43d 220 cubic {4,12} 32 (2,4)
Full image sqc10868 P-43m 215 cubic {4,12} 16 (2,3)

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 UQC1380 *344 (2,3,4) {4,12} {4.3.3.3}{3.3.4.3.3.3.4.3.3.3.4.3} Snet sqc13285 Snet sqc13284 Snet sqc10868

Symmetry-lowered hyperbolic tilings