h-net: hqc1818


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,3,4,4}
2D vertex symbol {3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(12, 36, 102, 264, 696, 1818, 4764, 12468, 32646, 85464), (3, 20, 51, 149, 380, 1010, 2628, 6898, 18040, 47250), (4, 24, 64, 176, 462, 1214, 3174, 8314, 21762, 56978), (4, 6, 36, 92, 258, 666, 1760, 4590, 12036, 31490)]
Delaney-Dress Symbol <1818.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,12 3 4 4>
Dual net hqc1633

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 sqc14054 Pm-3m 221 cubic {12,3,4,4} 56 (4,5)
Full image sqc14053 I4132 214 cubic {12,3,4,4} 56 (4,6)
Full image sqc12487 P4232 208 cubic {12,4,4,3} 28 (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 UQC4964 *2223 (4,5,2) {12,3,4,4} {3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}... Snet sqc14054 Snet sqc14053 Snet sqc12487

Symmetry-lowered hyperbolic tilings