h-net: hqc1174


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,9,4}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3}{3.3.3.3}
Vertex coordination sequence [(12, 54, 258, 1122, 5190, 23070, 105156), (9, 48, 207, 984, 4281, 19776, 87999), (4, 26, 116, 540, 2420, 10950, 49336)]
Delaney-Dress Symbol <1174.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,12 9 4>
Dual net hqc1008

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 sqc11598 P4232 208 cubic {12,9,4} 14 (3,4)
Full image sqc11599 I213 199 cubic {12,9,4} 14 (3,5)
Full image sqc11606 F-43m 216 cubic {12,9,4} 14 (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 UQC4063 *2323 (3,4,2) {12,9,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.... Snet sqc11598 Snet sqc11599 Snet sqc11606

Symmetry-lowered hyperbolic tilings