h-net: hqc2419


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,7,6)
Vertex degrees{5,3}
2D vertex symbol {4.4.4.6.4}{4.4.4}
Vertex coordination sequence [(3, 5, 11, 25, 47, 82, 142, 245, 422, 727), (5, 13, 26, 47, 82, 142, 245, 422, 727, 1252)]
Delaney-Dress Symbol <2419.2:16:1 2 3 4 5 6 7 9 11 12 13 14 15 16,2 4 6 8 16 12 13 15,3 12 5 7 10 11 14 16:4 4 6 4 4 4,5 3>
Dual net hqc2431

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 sqc14431 Pm-3m 221 cubic {3,5} 96 (2,7)
Full image sqc14430 I4132 214 cubic {3,3,5,5} 96 (4,8)
Full image sqc13464 P4232 208 cubic {5,3} 48 (2,7)

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 UQC3192 *2223 (2,7,6) {5,3} {4.4.4.6.4}{4.4.4} Snet sqc14431 Snet sqc14430 Snet sqc13464

Symmetry-lowered hyperbolic tilings