h-net: hqc1651


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,9}
2D vertex symbol {6.4.3.4}{3.4.4.3.4.4.3.4.4}
Vertex coordination sequence [(9, 30, 75, 186, 477, 1236, 3189, 8214, 21159, 54504), (4, 13, 39, 106, 275, 704, 1808, 4655, 11991, 30891)]
Delaney-Dress Symbol <1651.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:6 4 3 4,4 9>
Dual net hqc1832

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 sqc12500 P4232 208 cubic {9,4} 28 (2,5)
Full image sqc12501 I213 199 cubic {9,4,4} 28 (3,6)
Full image sqc12497 F-43m 216 cubic {9,4} 28 (2,5)

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 UQC2024 *2323 (2,5,4) {9,4} {6.4.3.4}{3.4.4.3.4.4.3.4.4} Snet sqc12500 Snet sqc12501 Snet sqc12497

Symmetry-lowered hyperbolic tilings