U-tiling: UQC3552
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
|
|
sqc7949
|
|
I4/mmm |
139 |
tetragonal |
{6,4,4} |
14 |
(3,4) |
|
G
|
False
|
|
sqc12406
|
|
I41/acd |
142 |
tetragonal |
{4,6,4} |
28 |
(3,5) |
|
D
|
False
|
|
sqc7879
|
|
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
<58.2:256:17 3 5 94 8 25 11 13 110 16 19 21 118 24 27 29 142 32 49 35 37 126 40 65 43 45 150 48 51 53 166 56 81 59 61 158 64 67 69 198 72 97 75 77 134 80 83 85 206 88 113 91 93 96 99 101 174 104 137 107 109 112 115 117 120 161 123 125 128 169 131 133 136 139 141 144 193 147 149 152 201 155 157 160 163 165 168 171 173 176 225 179 181 222 184 233 187 189 214 192 195 197 200 203 205 208 241 211 213 216 249 219 221 224 227 229 254 232 235 237 246 240 243 245 248 251 253 256,2 19 6 7 96 10 27 14 15 112 18 22 23 120 26 30 31 144 34 51 38 39 128 42 67 46 47 152 50 54 55 168 58 83 62 63 160 66 70 71 200 74 99 78 79 136 82 86 87 208 90 115 94 95 98 102 103 176 106 139 110 111 114 118 119 122 163 126 127 130 171 134 135 138 142 143 146 195 150 151 154 203 158 159 162 166 167 170 174 175 178 227 182 183 224 186 235 190 191 216 194 198 199 202 206 207 210 243 214 215 218 251 222 223 226 230 231 256 234 238 239 248 242 246 247 250 254 255,9 4 5 14 39 40 12 13 47 48 25 20 21 30 55 56 28 29 71 72 57 36 37 62 73 44 45 78 81 52 53 86 60 61 191 192 97 68 69 102 76 77 223 224 84 85 239 240 105 92 93 110 135 136 100 101 255 256 108 109 159 160 137 116 117 142 175 176 153 124 125 158 183 184 145 132 133 150 140 141 207 208 148 149 215 216 156 157 201 164 165 206 231 232 193 172 173 198 209 180 181 214 217 188 189 222 196 197 247 248 204 205 212 213 220 221 241 228 229 246 249 236 237 254 244 245 252 253:3 5 3 5 5 5 3 5 3 5 5 3 5 5 3 5 5 3 5 3 3 3 3 3 3 5 3 5 3 3 5 5,4 6 4 6 4 4 4 4 4 4 4 6 4 6 4 6 6 4 4 6 4 6 4 4 4 4 4 4> {(2, 189): 'tau1^-1', (0, 56): 't3^-1', (1, 122): 't3', (2, 184): 'tau1^-1', (1, 255): 't2^-1*tau3*t1*tau2^-1', (2, 61): 't3^-1', (2, 181): 'tau1', (0, 176): 't3', (2, 176): 'tau1', (0, 184): 't3^-1', (1, 119): 't1', (0, 53): 'tau2^-1', (2, 45): 't2', (1, 234): 't3', (2, 40): 't2', (2, 56): 't3^-1', (0, 160): 't3^-1', (1, 98): 't2', (1, 103): 'tau3', (2, 157): 't3^-1', (1, 226): 't3^-1', (2, 152): 't3^-1', (0, 29): 't1^-1', (2, 149): 't2', (0, 144): 't2', (1, 82): 't3', (2, 144): 't2', (1, 87): 'tau2^-1', (0, 21): 't1^-1', (1, 194): 't2^-1', (1, 71): 'tau3', (2, 253): 'tau1*t3^-1', (2, 254): 't2^-1', (2, 248): 'tau1*t3^-1', (0, 253): 't2^-1*tau3*t1*tau2^-1', (2, 245): 'tau1^-1*t3', (2, 246): 't2', (2, 247): 't2', (2, 240): 'tau1^-1*t3', (1, 55): 'tau2^-1', (0, 245): 't2*tau3^-1*t1^-1*tau2', (1, 247): 't2*tau3^-1*t1^-1*tau2', (0, 96): 't2', (2, 103): 't2', (0, 101): 'tau3', (1, 31): 't1^-1', (0, 85): 'tau2^-1', (0, 69): 'tau3'}