h-net: hqc1457


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,3,3}
2D vertex symbol {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5}
Vertex coordination sequence [(4, 12, 24, 40, 68, 120, 208, 356, 612, 1056), (4, 10, 18, 32, 56, 96, 166, 286, 492, 848), (3, 8, 14, 25, 46, 79, 134, 231, 400, 689), (3, 6, 12, 21, 42, 75, 120, 207, 366, 627)]
Delaney-Dress Symbol <1457.2:10:1 3 5 7 8 10,2 4 5 8 9 10,1 2 3 6 7 8 9 10:5 5,4 4 3 3>
Dual net hqc1411

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 sqc14011 Pm-3m 221 cubic {4,4,3,3} 68 (4,5)
Full image sqc13986 I4132 214 cubic {4,4,3,3} 68 (4,6)
Full image sqc12085 P4232 208 cubic {3,4,3,4} 34 (4,5)

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 UQC4460 *2223 (4,5,2) {4,4,3,3} {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5} Snet sqc14011 Snet sqc13986 Snet sqc12085

Symmetry-lowered hyperbolic tilings