h-net: hqc131


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{6,4}
2D vertex symbol {3.4.4.3.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 32, 80, 200, 500, 1252, 3136, 7852, 19660), (6, 18, 46, 116, 290, 726, 1818, 4552, 11398, 28538)]
Delaney-Dress Symbol <131.2:5:1 2 4 5,1 3 5,2 3 4 5:3 4,6 4>
Dual net hqc115

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 sqc12175 Pm-3m 221 cubic {4,6} 24 (2,3)
Full image sqc12176 I4132 214 cubic {4,6} 24 (2,3)
Full image sqc7298 P4232 208 cubic {4,6} 12 (2,3)

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 UQC128 *2223 (2,3,2) {6,4} {3.4.4.3.4.4}{4.4.4.4} Snet sqc12175 Snet sqc12176 Snet sqc7298

Symmetry-lowered hyperbolic tilings