U-tiling: UQC5969
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2408 |
*22222 |
(6,7,2) |
{4,4,4,3,4,4} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.... |
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
|
|
sqc12046
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,3,4,4} |
32 |
(6,7) |
G
|
False
|
|
sqc12088
|
|
I4122 |
98 |
tetragonal |
{4,4,4,3,4,4} |
32 |
(6,8) |
D
|
False
|
|
sqc7040
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4,3,4} |
16 |
(6,7) |
Topological data
Vertex degrees | {4,4,4,3,4,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.2:240:61 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 6 67 10 15 12 14 17 19 21 82 25 30 27 29 32 34 36 97 40 45 42 44 47 49 51 127 55 60 57 59 62 64 66 70 75 72 74 77 79 81 85 90 87 89 92 94 96 100 105 102 104 107 109 111 187 115 120 117 119 122 124 126 130 135 132 134 137 139 141 202 145 150 147 149 152 154 156 217 160 165 162 164 167 169 171 232 175 180 177 179 182 184 186 190 195 192 194 197 199 201 205 210 207 209 212 214 216 220 225 222 224 227 229 231 235 240 237 239,136 32 33 19 20 8 9 25 26 42 43 74 75 106 47 48 23 24 57 58 89 90 166 49 50 38 39 55 56 104 105 151 53 54 134 135 196 92 93 109 110 68 69 115 116 102 103 181 122 123 139 140 83 84 145 146 132 133 226 154 155 98 99 160 161 152 153 113 114 162 163 194 195 211 169 170 128 129 175 176 167 168 143 144 177 178 209 210 158 159 224 225 173 174 239 240 212 213 199 200 188 189 205 206 222 223 227 228 203 204 237 238 229 230 218 219 235 236 233 234:7 4 7 4 7 4 7 4 4 4 4 7 4 4 7 4 7 4 7 4 4 4 4 4,4 4 4 3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 3 4 4 4 4> {(2, 189): 'tau1^-1', (2, 190): 'tau1^-1', (2, 191): 't3^-1*tau2^-1', (2, 184): 'tau1^-1', (2, 57): 't1', (1, 126): 't1^-1', (2, 181): 't2*tau3^-1*t1^-1', (2, 182): 't2*tau3^-1*t1^-1', (2, 183): 'tau1^-1', (2, 176): 'tau3^-1*t2', (2, 177): 'tau3^-1*t2', (2, 178): 't1', (2, 179): 't1', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (2, 168): 'tau3^-1', (2, 169): 'tau3^-1', (0, 45): 't1', (2, 165): 't1', (2, 160): 'tau2', (2, 161): 'tau2*t3', (2, 162): 'tau2*t3', (0, 165): 't1', (2, 159): 'tau2', (2, 153): 'tau2', (2, 154): 'tau2', (2, 32): 't1^-1', (2, 144): 't2^-1', (2, 145): 't2^-1', (2, 138): 't2^-1', (2, 139): 't2^-1', (2, 61): 't3*tau2', (2, 133): 't1^-1', (2, 134): 't1^-1', (2, 54): 't1', (2, 55): 't1', (2, 121): 'tau3*t2^-1', (2, 122): 'tau3*t2^-1', (2, 62): 't3*tau2', (2, 48): 't1', (2, 114): 't3^-1', (2, 49): 't1', (2, 236): 't1^-1*tau3^-1*t2', (2, 237): 't1^-1*tau3^-1*t2', (1, 171): 't1', (2, 31): 't1^-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, 228): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 229): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 115): 't3^-1', (2, 226): 'tau2^-1*t3^-1', (2, 227): 'tau2^-1*t3^-1', (2, 222): 'tau2*t3', (2, 109): 't3^-1', (2, 210): 't1', (2, 56): 't1', (2, 63): 't3'}