h-net: hqc1116


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{3,8,4}
2D vertex symbol {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <1116.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:6 6,3 8 4>
Dual net hqc1056

Derived s-nets

s-nets with faithful topology

11 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 sqc2431 Cmma 67 orthorhombic {3,8,4} 8 (3,5)
Full image sqc2957 Cmma 67 orthorhombic {3,8,4} 8 (3,5)
Full image sqc2603 C2/c 15 monoclinic {3,8,4} 8 (3,6)
Full image sqc2813 C2/c 15 monoclinic {3,8,4} 8 (3,6)
Full image sqc2820 I212121 24 orthorhombic {3,8,4} 8 (3,6)
Full image sqc2958 C2/c 15 monoclinic {3,8,4} 8 (3,6)
Full image sqc261 P222 16 orthorhombic {4,3,8} 4 (3,5)
Full image sqc2691 Imma 74 orthorhombic {3,8,4} 8 (3,5)
Full image sqc2817 Imma 74 orthorhombic {3,8,4} 8 (3,5)
Full image sqc2960 Imma 74 orthorhombic {3,8,4} 8 (3,5)

s-nets with edge collapse


Derived U-tilings

4 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3955 *222222a (3,5,2) {3,8,4} {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} No s‑net Snet sqc2603 Snet sqc2691
Tiling details UQC3956 *222222a (3,5,2) {3,8,4} {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} Snet sqc2431 Snet sqc2813 Snet sqc2817
Tiling details UQC3957 *222222a (3,5,2) {3,8,4} {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} Snet sqc2957 Snet sqc2958 Snet sqc2960
Tiling details UQC3958 *222222b (3,5,2) {3,8,4} {6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} Snet sqc1995 Snet sqc2820 Snet sqc261

Symmetry-lowered hyperbolic tilings