U-tiling: UQC5947
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc172 |
*2223 |
(3,3,1) |
{4,4,3} |
{5.5.5.5}{5.5.5.5}{5.5.5} |
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
|
True
|
|
sqc12043
|
|
P4/mmm |
123 |
tetragonal |
{3,4,3,4,4,4} |
32 |
(6,7) |
|
G
|
False
|
|
sqc12083
|
|
I4122 |
98 |
tetragonal |
{4,4,3,4,4,4} |
32 |
(6,8) |
|
D
|
False
|
|
sqc7039
|
|
P4222 |
93 |
tetragonal |
{4,4,4,3,4,4} |
16 |
(6,7) |
Topological data
| Vertex degrees | {4,4,3,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.2:240:61 3 5 7 9 11 13 15 76 18 20 22 24 26 28 30 91 33 35 37 39 41 43 45 121 48 50 52 54 56 58 60 63 65 67 69 71 73 75 78 80 82 84 86 88 90 93 95 97 99 101 103 105 181 108 110 112 114 116 118 120 123 125 127 129 131 133 135 196 138 140 142 144 146 148 150 211 153 155 157 159 161 163 165 226 168 170 172 174 176 178 180 183 185 187 189 191 193 195 198 200 202 204 206 208 210 213 215 217 219 221 223 225 228 230 232 234 236 238 240,2 4 65 8 15 10 12 14 17 19 80 23 30 25 27 29 32 34 95 38 45 40 42 44 47 49 125 53 60 55 57 59 62 64 68 75 70 72 74 77 79 83 90 85 87 89 92 94 98 105 100 102 104 107 109 185 113 120 115 117 119 122 124 128 135 130 132 134 137 139 200 143 150 145 147 149 152 154 215 158 165 160 162 164 167 169 230 173 180 175 177 179 182 184 188 195 190 192 194 197 199 203 210 205 207 209 212 214 218 225 220 222 224 227 229 233 240 235 237 239,136 32 33 6 7 38 39 25 26 42 43 74 75 106 47 48 21 22 53 54 57 58 89 90 166 36 37 55 56 104 105 151 51 52 134 135 196 92 93 66 67 98 99 115 116 102 103 181 122 123 81 82 128 129 145 146 132 133 226 96 97 160 161 152 153 111 112 158 159 162 163 194 195 211 126 127 175 176 167 168 141 142 173 174 177 178 209 210 156 157 224 225 171 172 239 240 212 213 186 187 218 219 205 206 222 223 227 228 201 202 233 234 237 238 216 217 235 236 231 232:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 3 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 3 4 4 4 4> {(2, 188): 't2*tau3^-1*t1^-1', (2, 189): 'tau1^-1', (2, 190): 'tau1^-1', (2, 191): 't3^-1*tau2^-1', (2, 56): 't1', (1, 124): 't1^-1', (2, 187): 't2*tau3^-1*t1^-1', (2, 37): 't1^-1', (2, 181): 't2*tau3^-1*t1^-1', (2, 182): 't2*tau3^-1*t1^-1', (2, 55): 't1', (2, 176): 'tau3^-1*t2', (2, 177): 'tau3^-1*t2', (2, 178): 't1', (2, 179): 't1', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (0, 45): 't1', (2, 165): 't1', (2, 38): 't1^-1', (2, 160): 'tau2', (2, 161): 'tau2*t3', (2, 162): 'tau2*t3', (2, 57): 't1', (2, 159): 'tau2', (2, 32): 't1^-1', (2, 144): 't2^-1', (2, 145): 't2^-1', (2, 98): 'tau2^-1*t3^-1', (2, 61): 't3*tau2', (2, 133): 't1^-1', (2, 134): 't1^-1', (0, 165): 't1', (2, 128): 'tau3*t2^-1', (2, 54): 't1', (2, 127): 'tau3*t2^-1', (2, 121): 'tau3*t2^-1', (2, 122): 'tau3*t2^-1', (2, 62): 't3*tau2', (2, 114): 't3^-1', (2, 115): 't3^-1', (2, 236): 't1^-1*tau3^-1*t2', (2, 237): 't1^-1*tau3^-1*t2', (2, 31): 't1^-1', (2, 232): 'tau2^-1*t3^-1', (2, 233): 'tau2^-1*t3^-1', (2, 234): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 235): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 97): 'tau2^-1*t3^-1', (2, 226): 'tau2^-1*t3^-1', (2, 227): 'tau2^-1*t3^-1', (1, 169): 't1', (2, 222): 'tau2*t3', (2, 210): 't1'}