h-net: hqc2072


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,3,4,8}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(6, 12, 12, 36, 54, 108, 114, 264, 336, 720), (4, 8, 20, 24, 58, 76, 162, 186, 414, 504), (3, 10, 14, 34, 43, 98, 121, 262, 308, 680), (4, 16, 24, 52, 60, 136, 168, 364, 428, 944), (8, 12, 32, 44, 96, 112, 248, 300, 656, 780)]
Delaney-Dress Symbol <2072.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 4 3 4 8>
Dual net hqc1940

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 sqc14202 Im-3m 229 cubic {3,4,8,6,4} 70 (5,5)
Full image sqc14515 Ia-3d 230 cubic {6,4,3,4,8} 140 (5,6)
Full image sqc14201 Pn-3m 224 cubic {3,4,4,8,6} 70 (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 UQC5432 *246 (5,5,2) {6,4,3,4,8} {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.... Snet sqc14202 Snet sqc14515 Snet sqc14201

Symmetry-lowered hyperbolic tilings