h-net: hqc61


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(1,3,2)
Vertex degrees{4}
2D vertex symbol {4.8.8.4}
Vertex coordination sequence [(4, 10, 24, 56, 128, 294, 676, 1552, 3564, 8186)]
Delaney-Dress Symbol <61.1:4:1 2 3 4,2 4,1 3 4:4 8,4>
Dual net hqc95

Derived s-nets

s-nets with faithful topology

29 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 sqc2073 atn I4/mmm 139 tetragonal {4} 8 (1,3)
Full image sqc2188 Fmmm 69 orthorhombic {4,4} 8 (2,5)
Full image sqc2189 Fmmm 69 orthorhombic {4,4} 8 (2,5)
Full image sqc2201 pcb Im-3m 229 cubic {4} 8 (1,2)
Full image sqc8066 P4/mmm 123 tetragonal {4,4} 16 (2,5)
Full image sqc8091 P4/mmm 123 tetragonal {4,4} 16 (2,5)
Full image sqc8109 P42/nnm 134 tetragonal {4} 16 (1,4)
Full image sqc7742 I4122 98 tetragonal {4,4} 16 (2,6)
Full image sqc7747 I4122 98 tetragonal {4,4} 16 (2,5)
Full image sqc7750 I4122 98 tetragonal {4,4} 16 (2,5)
Full image sqc7752 Fddd 70 orthorhombic {4,4} 16 (2,5)
Full image sqc7754 Fddd 70 orthorhombic {4,4} 16 (2,5)
Full image sqc7756 I41/acd 142 tetragonal {4} 16 (1,3)
Full image sqc8061 I4122 98 tetragonal {4,4} 16 (2,6)
Full image sqc8100 Fddd 70 orthorhombic {4,4} 16 (2,6)
Full image sqc8110 Fddd 70 orthorhombic {4,4} 16 (2,6)
Full image sqc8132 I41/acd 142 tetragonal {4} 16 (1,3)
Full image sqc8134 Ibca 73 orthorhombic {4,4} 16 (2,5)
Full image sqc155 cdl P42/mmc 131 tetragonal {4} 4 (1,3)
Full image sqc156 Pmmm 47 orthorhombic {4,4} 4 (2,5)
Full image sqc1753 P4222 93 tetragonal {4,4} 8 (2,5)
Full image sqc1923 P4222 93 tetragonal {4,4} 8 (2,5)
Full image sqc2035 P4222 93 tetragonal {4,4} 8 (2,5)
Full image sqc2067 P4222 93 tetragonal {4,4} 8 (2,5)
Full image sqc2074 Cmma 67 orthorhombic {4,4} 8 (2,5)
Full image sqc2183 P42/nnm 134 tetragonal {4} 8 (1,3)
Full image sqc2186 Cmma 67 orthorhombic {4,4} 8 (2,5)
Full image sqc2203 Cmma 67 orthorhombic {4,4} 8 (2,5)
Full image sqc8135 umi I41/amd 141 tetragonal {4} 16 (1,4)

s-nets with edge collapse


Derived U-tilings

11 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC26 *2224 (1,3,2) {4} {4.8.8.4} Snet sqc2073 Snet sqc7756 Snet sqc155
Tiling details UQC27 *2224 (1,3,2) {4} {4.8.8.4} Snet sqc2201 Snet sqc8132 Snet sqc2183
Tiling details UQC421 *22222a (2,5,2) {4,4} {4.8.8.4}{4.4.8.8} Snet sqc8066 Snet sqc8061 Snet sqc2035
Tiling details UQC422 *22222b (2,5,2) {4,4} {4.8.8.4}{4.4.8.8} Snet sqc2189 Snet sqc8100 Snet sqc2203
Tiling details UQC423 *22222a (2,5,2) {4,4} {4.8.8.4}{4.4.8.8} Snet sqc8091 Snet sqc7742 Snet sqc2067
Tiling details UQC424 *22222b (2,5,2) {4,4} {4.8.8.4}{4.4.8.8} Snet sqc2188 Snet sqc8110 Snet sqc2186
Tiling details UQC709 *22222a (2,5,3) {4,4} {4.8.8.4}{8.4.4.8} Snet sqc1255 Snet sqc7747 Snet sqc1753
Tiling details UQC710 *22222b (2,5,3) {4,4} {4.8.8.4}{8.4.4.8} Snet sqc155 Snet sqc7752 Snet sqc2074
Tiling details UQC711 *22222b (2,5,3) {4,4} {4.8.8.4}{8.4.4.8} Snet sqc1383 Snet sqc7754 Snet sqc156
Tiling details UQC712 *22222a (2,5,3) {4,4} {4.8.8.4}{8.4.4.8} Snet sqc6928 Snet sqc7750 Snet sqc1923
Tiling details UQC3215 *222222a (2,7,6) {4,4} {4.8.8.4}{8.4.4.8} Snet sqc8109 Snet sqc8134 Snet sqc8135

Symmetry-lowered hyperbolic tilings