h-net: hqc2172


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{7,3}
2D vertex symbol {4.4.4.3.4.4.4}{4.6.3}
Vertex coordination sequence [(7, 24, 61, 142, 327, 752, 1727, 3966, 9109, 20920), (3, 7, 21, 61, 142, 327, 752, 1727, 3966, 9109)]
Delaney-Dress Symbol <2172.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 13 8 10 12,1 3 5 8 9 11 13:4 4 4 3 6,7 3>
Dual net hqc2241

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 sqc14304 Pm-3m 221 cubic {7,3} 72 (2,6)
Full image sqc14303 I4132 214 cubic {7,3,3} 72 (3,7)
Full image sqc12894 P4232 208 cubic {3,7} 36 (2,6)

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 UQC2838 *2223 (2,6,5) {7,3} {4.4.4.3.4.4.4}{4.6.3} Snet sqc14304 Snet sqc14303 Snet sqc12894

Symmetry-lowered hyperbolic tilings