h-net: hqc2255


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,6,4}
2D vertex symbol {14.14.14.14}{14.14.14.14}{14.3.3.14}{14.3.3.14.3.3}{3.3.3.3}
Delaney-Dress Symbol <2255.2:13:1 3 5 7 9 11 13,2 4 6 7 10 13 12,1 2 3 4 5 8 9 10 11 12 13:14 3,4 4 4 6 4>
Dual net hqc2175

Derived s-nets

s-nets with faithful topology

10 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 sqc1048 Pmmm 47 orthorhombic {4,6,4,4,4} 6 (5,6)
Full image sqc1050 Pmmm 47 orthorhombic {4,6,4,4,4} 6 (5,6)
Full image sqc1051 Pmmm 47 orthorhombic {6,4,4,4,4} 6 (5,6)
Full image sqc5879 C2/c 15 monoclinic {4,4,4,6,4} 12 (5,7)
Full image sqc5880 I212121 24 orthorhombic {4,4,4,6,4} 12 (5,7)
Full image sqc5998 C2/c 15 monoclinic {4,4,4,6,4} 12 (5,7)
Full image sqc6073 C2/c 15 monoclinic {4,4,4,6,4} 12 (5,7)
Full image sqc5882 Imma 74 orthorhombic {4,4,4,6,4} 12 (5,6)
Full image sqc5999 Imma 74 orthorhombic {4,4,4,6,4} 12 (5,6)
Full image sqc6068 Imma 74 orthorhombic {4,4,4,6,4} 12 (5,6)

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 UQC5711 *222222a (5,6,2) {4,4,4,6,4} {14.14.14.14}{14.14.14.14}{14.3.... Snet sqc1048 Snet sqc6073 Snet sqc6068
Tiling details UQC5712 *222222a (5,6,2) {4,4,4,6,4} {14.14.14.14}{14.14.14.14}{14.3.... Snet sqc1050 Snet sqc5998 Snet sqc5999
Tiling details UQC5713 *222222a (5,6,2) {4,4,4,6,4} {14.14.14.14}{14.14.14.14}{14.3.... Snet sqc1051 Snet sqc5879 Snet sqc5882
Tiling details UQC5714 *222222b (5,6,2) {4,4,4,6,4} {14.14.14.14}{14.14.14.14}{14.3.... No s‑net Snet sqc5880 Snet sqc1048

Symmetry-lowered hyperbolic tilings