U-tiling: UQC5967
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
|
False
|
|
sqc1495
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4,4} |
8 |
(6,7) |
G
|
False
|
|
sqc12255
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,3,4,4} |
32 |
(6,8) |
D
|
False
|
|
sqc7342
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,4,4,4} |
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
<33.1:240:31 3 5 7 9 11 13 15 46 18 20 22 24 26 28 30 33 35 37 39 41 43 45 48 50 52 54 56 58 60 91 63 65 67 69 71 73 75 106 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120 181 123 125 127 129 131 133 135 196 138 140 142 144 146 148 150 211 153 155 157 159 161 163 165 226 168 170 172 174 176 178 180 183 185 187 189 191 193 195 198 200 202 204 206 208 210 213 215 217 219 221 223 225 228 230 232 234 236 238 240,2 4 6 37 10 15 12 14 17 19 21 52 25 30 27 29 32 34 36 40 45 42 44 47 49 51 55 60 57 59 62 64 66 97 70 75 72 74 77 79 81 112 85 90 87 89 92 94 96 100 105 102 104 107 109 111 115 120 117 119 122 124 126 187 130 135 132 134 137 139 141 202 145 150 147 149 152 154 156 217 160 165 162 164 167 169 171 232 175 180 177 179 182 184 186 190 195 192 194 197 199 201 205 210 207 209 212 214 216 220 225 222 224 227 229 231 235 240 237 239,136 122 123 64 65 8 9 70 71 27 28 44 45 166 152 153 79 80 23 24 85 86 59 60 196 182 183 94 95 38 39 100 101 57 58 226 212 213 109 110 53 54 115 116 151 167 168 68 69 87 88 104 105 121 137 138 83 84 119 120 211 227 228 98 99 117 118 181 197 198 113 114 169 170 128 129 175 176 162 163 194 195 154 155 143 144 160 161 177 178 209 210 158 159 224 225 173 174 239 240 229 230 188 189 235 236 222 223 214 215 203 204 220 221 237 238 218 219 233 234:7 4 7 4 4 4 7 4 7 4 4 4 7 4 7 4 7 4 7 4 4 4 4 4,4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 3 4 3 4 4 4 3 4 3 3 4 4 4> {(2, 189): 'tau2*t1^-1*tau3^-1', (2, 190): 'tau2*t1^-1*tau3^-1', (2, 191): 't3^-1*tau1*t2', (2, 184): 'tau2*t1^-1*tau3^-1', (1, 126): 't3', (2, 181): 'tau2', (2, 182): 'tau2', (2, 183): 'tau2*t1^-1*tau3^-1', (2, 176): 'tau1', (2, 177): 'tau1', (2, 178): 't2^-1', (2, 179): 't2^-1', (2, 40): 't1^-1', (2, 164): 't2', (2, 165): 't2^-1', (2, 39): 't1^-1', (0, 165): 't2^-1', (2, 161): 'tau1^-1', (2, 162): 'tau1^-1', (2, 163): 't2', (1, 216): 't2^-1', (0, 135): 't3^-1', (2, 148): 't3^-1', (2, 149): 't3^-1', (2, 150): 't2', (0, 150): 't2', (2, 33): 't1^-1', (1, 201): 't3', (2, 34): 't1^-1', (2, 133): 't3', (2, 134): 't3', (2, 135): 't3^-1', (2, 54): 't1^-1', (0, 120): 't3', (2, 55): 't1^-1', (2, 120): 't3', (2, 48): 't1^-1', (2, 49): 't1^-1', (2, 236): 't2*tau1*t3^-1', (2, 237): 't2*tau1*t3^-1', (1, 171): 't2^-1', (2, 226): 'tau3', (2, 227): 'tau3', (2, 220): 'tau3^-1*t1^-1*tau2', (2, 222): 't2^-1*tau1^-1*t3', (2, 219): 'tau3^-1*t1^-1*tau2', (2, 212): 'tau3^-1', (2, 213): 'tau3^-1*t1^-1*tau2', (2, 214): 'tau3^-1*t1^-1*tau2', (2, 211): 'tau3^-1', (2, 196): 'tau2^-1', (2, 197): 'tau2^-1'}