h-net: hqc1098


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,4,3}
2D vertex symbol {5.4.4.5}{5.5.4.4}{5.5.5}
Vertex coordination sequence [(4, 10, 18, 32, 54, 92, 156, 264, 446, 758), (4, 9, 18, 30, 51, 88, 150, 252, 429, 726), (3, 9, 15, 27, 51, 81, 138, 237, 399, 675)]
Delaney-Dress Symbol <1098.2:9:1 3 5 6 7 9,2 8 6 7 9,1 4 5 6 7 8 9:5 4,4 4 3>
Dual net hqc1086

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 sqc13745 Pm-3m 221 cubic {4,4,3} 56 (3,5)
Full image sqc13746 I4132 214 cubic {4,4,3} 56 (3,6)
Full image sqc11708 P4232 208 cubic {3,4,4} 28 (3,5)

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 UQC3849 *2223 (3,5,2) {4,4,3} {5.4.4.5}{5.5.4.4}{5.5.5} Snet sqc13745 Snet sqc13746 Snet sqc11708

Symmetry-lowered hyperbolic tilings