h-net: hqc1219


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,3,3,3}
2D vertex symbol {5.5.5.5.5.5}{5.8.5}{5.8.8}{8.8.8}
Vertex coordination sequence [(6, 21, 48, 108, 237, 504, 1098, 2430, 5379, 11928), (3, 9, 23, 53, 117, 265, 584, 1285, 2843, 6277), (3, 6, 16, 37, 88, 205, 460, 1008, 2215, 4860), (3, 6, 12, 33, 84, 195, 438, 966, 2079, 4554)]
Delaney-Dress Symbol <1219.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 8,6 3 3 3>
Dual net hqc971

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 sqc11665 P4232 208 cubic {6,3,3,3} 32 (4,4)
Full image sqc11660 I213 199 cubic {6,3,3,3} 32 (4,5)
Full image sqc11649 F-43m 216 cubic {6,3,3,3} 32 (4,4)

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 UQC4340 *2323 (4,4,2) {6,3,3,3} {5.5.5.5.5.5}{5.8.5}{5.8.8}{8.8.8} Snet sqc11665 Snet sqc11660 Snet sqc11649

Symmetry-lowered hyperbolic tilings