h-net: hqc1173


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,6,4}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3}{3.3.3.3}
Vertex coordination sequence [(12, 36, 126, 354, 1134, 3348, 10380, 31248, 95742), (6, 32, 88, 302, 856, 2722, 8072, 24958, 75256), (4, 20, 60, 206, 594, 1870, 5578, 17186, 51930)]
Delaney-Dress Symbol <1173.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,12 6 4>
Dual net hqc1004

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 sqc13624 Pm-3m 221 cubic {12,6,4} 32 (3,4)
Full image sqc13617 I4132 214 cubic {12,6,4} 32 (3,5)
Full image sqc11618 P4232 208 cubic {12,6,4} 16 (3,4)

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 UQC4062 *2223 (3,4,2) {12,6,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.... Snet sqc13624 Snet sqc13617 Snet sqc11618

Symmetry-lowered hyperbolic tilings