U-tiling: UQC659
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc440 |
*2224 |
(2,3,3) |
{8,3} |
{4.4.4.4.4.4.4.4}{4.4.4} |
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
|
|
sqc6729
|
|
I4/mmm |
139 |
tetragonal |
{3,8} |
12 |
(2,3) |
|
G
|
False
|
|
sqc11862
|
|
I41/acd |
142 |
tetragonal |
{3,8} |
24 |
(2,4) |
|
D
|
False
|
|
sqc6731
|
|
P42/nnm |
134 |
tetragonal |
{8,3} |
12 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.1:224:29 4 5 34 35 36 11 12 41 42 43 18 19 48 49 57 25 26 62 63 32 33 39 40 46 47 162 53 54 167 168 60 61 190 67 68 195 196 204 74 75 209 210 113 81 82 118 119 218 88 89 223 224 134 95 96 139 140 148 102 103 153 154 155 109 110 160 161 116 117 176 123 124 181 182 183 130 131 188 189 137 138 197 144 145 202 203 151 152 158 159 165 166 211 172 173 216 217 179 180 186 187 193 194 200 201 207 208 214 215 221 222,2 17 6 12 84 9 24 13 98 16 20 26 105 23 27 126 30 45 34 54 112 37 59 41 68 133 44 48 75 147 51 73 55 140 58 62 89 175 65 87 69 119 72 76 182 79 101 83 96 86 90 154 93 122 97 100 104 124 107 143 111 138 114 150 118 131 121 125 128 171 132 135 178 139 142 146 180 149 153 173 156 199 160 187 196 163 206 167 194 189 170 174 177 181 184 213 188 191 220 195 198 202 215 224 205 209 222 217 212 216 219 223,15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 57 38 40 42 45 47 49 71 52 54 56 59 61 63 85 66 68 70 73 75 77 99 80 82 84 87 89 91 120 94 96 98 101 103 105 141 108 110 112 148 115 117 119 122 124 126 169 129 131 133 176 136 138 140 143 145 147 150 152 154 197 157 159 161 204 164 166 168 171 173 175 178 180 182 211 185 187 189 218 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 8 3 8 3 8 3 8 8 3 8 3 3 3 3 3 3 3 3 8 3 3 3 8> {(2, 161): 't3^-1', (1, 216): 't2*tau3^-1*t1^-1*tau2', (1, 67): 't2^-1', (1, 90): 'tau3', (1, 205): 't3', (0, 84): 't2', (2, 140): 't3^-1', (2, 49): 't3^-1', (0, 173): 't2^-1', (1, 198): 't3^-1', (2, 63): 't2^-1', (0, 216): 't2', (1, 221): 'tau1*t3^-1', (1, 128): 't2', (1, 62): 'tau3', (1, 20): 't1^-1', (1, 223): 't2^-1*tau3*t1*tau2^-1', (1, 214): 'tau1^-1*t3', (1, 86): 't2', (2, 154): 't3', (1, 76): 'tau2^-1', (1, 186): 'tau1^-1', (0, 168): 't2^-1', (0, 222): 't2^-1', (2, 168): 't2^-1', (1, 146): 'tau2', (0, 223): 't2^-1', (1, 72): 't3', (1, 109): 't3', (1, 125): 't1', (1, 32): 't3', (1, 107): 't3', (1, 193): 'tau1', (1, 116): 't2^-1', }