h-net: hqc1093


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,4,3}
2D vertex symbol {6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.3}
Vertex coordination sequence [(4, 12, 32, 56, 112, 232, 448, 888, 1756, 3460), (4, 12, 18, 46, 90, 174, 354, 696, 1376, 2720), (4, 5, 13, 26, 54, 108, 213, 431, 848, 1677), (3, 3, 9, 21, 36, 84, 159, 321, 645, 1263)]
Delaney-Dress Symbol <1093.2:9:1 3 5 6 7 9,2 4 6 8 9,1 2 3 4 5 7 8 9:6 3,4 4 4 3>
Dual net hqc916

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 sqc13749 Pm-3m 221 cubic {4,4,4,3} 56 (4,5)
Full image sqc13740 I4132 214 cubic {4,4,4,3} 56 (4,5)
Full image sqc11602 P4232 208 cubic {4,3,4,4} 28 (4,5)

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 UQC4259 *2223 (4,5,2) {4,4,4,3} {6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.3} Snet sqc13749 Snet sqc13740 Snet sqc11602

Symmetry-lowered hyperbolic tilings