U-tiling: UQC3551
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc754 |
*2224 |
(3,4,2) |
{4,6,4} |
{3.5.5.3}{3.5.5.3.5.5}{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
|
False
|
|
sqc8046
|
|
I4/mmm |
139 |
tetragonal |
{4,6,4} |
14 |
(3,4) |
|
G
|
False
|
|
sqc12407
|
|
I41/acd |
142 |
tetragonal |
{4,6,4} |
28 |
(3,5) |
|
D
|
False
|
|
sqc7950
|
|
P42/nnm |
134 |
tetragonal |
{4,4,6} |
14 |
(3,4) |
Topological data
| Vertex degrees | {4,6,4} |
| 2D vertex symbol | {3.5.5.3}{3.5.5.3.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:256:9 3 5 38 8 11 13 46 16 25 19 21 54 24 27 29 70 32 57 35 37 40 73 43 45 48 81 51 53 56 59 61 190 64 97 67 69 72 75 77 222 80 83 85 238 88 105 91 93 134 96 99 101 254 104 107 109 158 112 137 115 117 174 120 153 123 125 182 128 145 131 133 136 139 141 206 144 147 149 214 152 155 157 160 201 163 165 230 168 193 171 173 176 209 179 181 184 217 187 189 192 195 197 246 200 203 205 208 211 213 216 219 221 224 241 227 229 232 249 235 237 240 243 245 248 251 253 256,2 11 6 7 40 10 14 15 48 18 27 22 23 56 26 30 31 72 34 59 38 39 42 75 46 47 50 83 54 55 58 62 63 192 66 99 70 71 74 78 79 224 82 86 87 240 90 107 94 95 136 98 102 103 256 106 110 111 160 114 139 118 119 176 122 155 126 127 184 130 147 134 135 138 142 143 208 146 150 151 216 154 158 159 162 203 166 167 232 170 195 174 175 178 211 182 183 186 219 190 191 194 198 199 248 202 206 207 210 214 215 218 222 223 226 243 230 231 234 251 238 239 242 246 247 250 254 255,17 4 5 22 95 96 25 12 13 30 111 112 20 21 119 120 28 29 143 144 49 36 37 54 127 128 65 44 45 70 151 152 52 53 167 168 81 60 61 86 159 160 68 69 199 200 97 76 77 102 135 136 84 85 207 208 113 92 93 118 100 101 175 176 137 108 109 142 116 117 161 124 125 166 169 132 133 174 140 141 193 148 149 198 201 156 157 206 164 165 172 173 225 180 181 230 223 224 233 188 189 238 215 216 196 197 204 205 241 212 213 246 249 220 221 254 228 229 255 256 236 237 247 248 244 245 252 253:3 5 5 3 5 5 3 3 3 5 3 5 5 3 5 5 5 3 5 3 5 3 5 5 3 5 3 3 3 5 3 3,4 6 4 4 4 6 4 4 4 6 4 6 6 4 6 4 4 4 4 4 4 4 4 6 4 4 4 6> {(2, 189): 't3^-1', (0, 56): 't3^-1', (1, 122): 't3', (2, 184): 't3^-1', (2, 61): 't3^-1', (2, 181): 't3', (0, 176): 'tau1', (2, 176): 't3', (0, 184): 'tau1^-1', (1, 247): 't2', (2, 56): 't3^-1', (0, 40): 't2', (2, 175): 'tau3^-1', (2, 165): 't3^-1', (2, 166): 'tau2', (2, 167): 'tau2', (2, 160): 't3^-1', (1, 103): 't2', (2, 231): 'tau2*t1^-1*tau3^-1*t2', (2, 149): 't2', (2, 22): 't1^-1', (1, 210): 'tau1^-1', (2, 144): 't2', (2, 142): 't1', (2, 143): 't1', (1, 226): 't3^-1*tau1', (0, 248): 'tau1*t3^-1', (0, 128): 't2^-1', (0, 240): 'tau1^-1*t3', (0, 120): 't3', (1, 186): 'tau1^-1', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2*tau3^-1*t1^-1*tau2', (0, 245): 't2', (1, 42): 't2', (2, 101): 't2', (2, 230): 'tau2*t1^-1*tau3^-1*t2', (1, 34): 't3', (2, 96): 't2', (0, 101): 't2', (1, 130): 't2^-1', (1, 250): 'tau1*t3^-1', (2, 119): 't1', (2, 174): 'tau3^-1', (2, 206): 'tau2', (2, 207): 'tau2', (2, 198): 'tau3^-1', (2, 199): 'tau3^-1'}