U-tiling: UQC5673
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2243 |
*22222 |
(5,6,2) |
{4,4,4,6,4} |
{7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.... |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc11492
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4,6,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11499
|
|
I4122 |
98 |
tetragonal |
{4,4,4,6,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc6010
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4,6,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,4,4,6,4} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3.7.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.5:208:14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 92 55 57 59 61 63 65 118 68 70 72 74 76 78 131 81 83 85 87 89 91 94 96 98 100 102 104 144 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 196 185 187 189 191 193 195 198 200 202 204 206 208,2 4 6 20 10 13 12 15 17 19 23 26 25 28 30 32 46 36 39 38 41 43 45 49 52 51 54 56 58 98 62 65 64 67 69 71 124 75 78 77 80 82 84 137 88 91 90 93 95 97 101 104 103 106 108 110 150 114 117 116 119 121 123 127 130 129 132 134 136 140 143 142 145 147 149 153 156 155 158 160 162 176 166 169 168 171 173 175 179 182 181 184 186 188 202 192 195 194 197 199 201 205 208 207,27 54 55 121 122 8 9 127 128 38 39 40 67 68 95 96 21 22 101 102 51 52 80 81 147 148 34 35 153 154 106 107 134 135 47 48 140 141 79 173 174 60 61 179 180 90 91 105 160 161 73 74 166 167 116 117 199 200 86 87 205 206 131 158 159 99 100 142 143 186 187 112 113 192 193 144 171 172 125 126 155 156 184 185 138 139 197 198 151 152 183 164 165 194 195 196 177 178 207 208 190 191 203 204:7 3 3 7 3 3 7 3 7 3 7 3 3 7 3 3 3 3 7 3 3 7 3 3,4 4 4 6 4 4 4 4 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 6> {(1, 123): 't2^-1', (2, 63): 't3*tau2', (2, 185): 't1', (2, 186): 't1', (2, 180): 't3*tau2', (2, 181): 't3*tau2', (2, 182): 'tau2*t3', (0, 182): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 52): 't3', (2, 145): 't1', (1, 97): 't3^-1', (0, 169): 'tau1', (2, 40): 't1', (2, 41): 't1', (1, 110): 'tau3', (2, 36): 't1^-1', (2, 37): 't1^-1', (2, 38): 't1^-1', (2, 167): 't2*tau3^-1*t1^-1', (0, 39): 't1', (2, 35): 't1^-1', (2, 29): 't1^-1', (2, 30): 't1^-1', (2, 39): 't1', (2, 144): 't1', (1, 84): 'tau2^-1', (1, 201): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 143): 'tau3^-1*t2', (0, 143): 'tau3^-1', (0, 130): 'tau2', (2, 113): 't1^-1', (2, 114): 't1^-1', (0, 117): 't2^-1', (1, 45): 't1', (1, 162): 'tau1^-1', (2, 90): 'tau2^-1*t3^-1', (2, 91): 't3^-1*tau2^-1', (2, 76): 't2*tau3^-1', (2, 77): 't2*tau3^-1', (2, 168): 't2*tau3^-1*t1^-1', (2, 195): 't1^-1*tau3^-1*t2'}