h-net: hqc2086


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,4,6,4}
2D vertex symbol {6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3.6.3.3}{3.3.3.3}
Vertex coordination sequence [(3, 9, 21, 36, 45, 93, 135, 276, 345, 723), (4, 10, 22, 28, 58, 82, 168, 216, 448, 606), (4, 10, 12, 28, 40, 82, 104, 216, 296, 606), (6, 6, 16, 24, 52, 62, 130, 184, 374, 482), (4, 8, 12, 24, 44, 68, 108, 188, 316, 520)]
Delaney-Dress Symbol <2086.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,3 4 4 6 4>
Dual net hqc1969

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 sqc14211 Pm-3m 221 cubic {3,4,4,6,4} 68 (5,5)
Full image sqc14218 I4132 214 cubic {3,4,4,6,4} 68 (5,6)
Full image sqc12734 P4232 208 cubic {4,6,4,4,3} 34 (5,5)

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 UQC5452 *2223 (5,5,2) {3,4,4,6,4} {6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3.... Snet sqc14211 Snet sqc14218 Snet sqc12734

Symmetry-lowered hyperbolic tilings