h-net: hqc2034


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{4,4,4,6}
2D vertex symbol {6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 24, 36, 56, 96, 164, 272, 448, 748), (4, 8, 16, 30, 48, 86, 138, 230, 386, 634), (4, 8, 12, 26, 50, 80, 132, 218, 364, 604), (6, 6, 18, 30, 54, 90, 144, 246, 402, 666)]
Delaney-Dress Symbol <2034.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,4 4 4 6>
Dual net hqc2005

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 sqc14208 Pm-3m 221 cubic {4,4,4,6} 68 (4,6)
Full image sqc14210 I4132 214 cubic {4,4,4,6} 68 (4,7)
Full image sqc12617 P4232 208 cubic {4,4,4,6} 34 (4,6)

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 UQC5133 *2223 (4,6,2) {4,4,4,6} {6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.... Snet sqc14208 Snet sqc14210 Snet sqc12617

Symmetry-lowered hyperbolic tilings