h-net: hqc1205


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,3}
2D vertex symbol {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.4.4}
Vertex coordination sequence [(4, 10, 24, 36, 68, 102, 204, 328, 600, 970), (3, 12, 15, 38, 51, 114, 159, 332, 487, 980), (6, 8, 22, 28, 70, 92, 202, 280, 598, 872), (3, 12, 15, 36, 45, 114, 147, 324, 447, 966)]
Delaney-Dress Symbol <1205.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,4 3 6 3>
Dual net hqc965

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 sqc13697 Pm-3m 221 cubic {4,3,6,3} 56 (4,4)
Full image sqc13698 I4132 214 cubic {4,3,6,3} 56 (4,5)
Full image sqc11679 P4232 208 cubic {4,3,6,3} 28 (4,4)

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 UQC4319 *2223 (4,4,2) {4,3,6,3} {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.... Snet sqc13697 Snet sqc13698 Snet sqc11679

Symmetry-lowered hyperbolic tilings