U-tiling: UQC585
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc387 |
*2224 |
(2,3,3) |
{4,6} |
{4.3.6.3}{3.6.6.3.6.6} |
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
|
|
sqc6779
|
|
I4/mmm |
139 |
tetragonal |
{6,4} |
12 |
(2,3) |
|
G
|
False
|
|
sqc11916
|
|
I41/acd |
142 |
tetragonal |
{6,4} |
24 |
(2,4) |
|
D
|
False
|
|
sqc1407
|
|
I4/mmm |
139 |
tetragonal |
{6,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.3.6.3}{3.6.6.3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.2:224:8 4 5 34 35 11 12 41 42 22 18 19 48 49 25 26 62 63 50 32 33 64 39 40 71 46 47 53 54 167 168 85 60 61 67 68 195 196 74 75 209 210 92 81 82 118 119 88 89 223 224 95 96 139 140 120 102 103 153 154 134 109 110 160 161 127 116 117 123 124 181 182 130 131 188 189 137 138 176 144 145 202 203 169 151 152 183 158 159 190 165 166 172 173 216 217 179 180 186 187 193 194 211 200 201 218 207 208 214 215 221 222,2 31 81 6 84 9 38 95 13 98 16 45 102 20 105 23 59 123 27 126 30 109 34 112 37 130 41 133 44 144 48 147 51 164 137 55 140 58 172 62 175 65 192 116 69 119 72 206 179 76 182 79 115 83 86 220 151 90 154 93 136 97 100 150 104 107 157 111 114 118 121 178 125 128 185 132 135 139 142 199 146 149 153 156 193 160 196 163 186 167 189 170 213 174 177 181 184 188 191 195 198 221 202 224 205 214 209 217 212 216 219 223,15 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 98 101 103 105 141 108 110 112 148 115 117 119 122 124 126 169 129 131 133 176 136 138 140 143 145 147 150 152 154 197 157 159 161 204 164 166 168 171 173 175 178 180 182 211 185 187 189 218 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224:6 3 4 3 4 6 3 4 3 4 6 6 6 3 6 3 3 3 3 3 3 3 3 3 3 6 3 6,6 4 6 4 4 4 4 4 4 6 4 4 6 4 4 6 4 6 6 6 4 4 4 4> {(2, 161): 't3^-1', (1, 213): 't2*tau3^-1*t1^-1*tau2', (1, 216): 't2*tau3^-1*t1^-1*tau2', (0, 222): 't2^-1', (0, 217): 'tau1*t3^-1', (1, 87): 'tau3', (1, 90): 'tau3', (1, 59): 'tau3', (2, 140): 't3^-1', (2, 49): 't3^-1', (1, 101): 't1', (0, 173): 't2^-1', (1, 73): 'tau2^-1', (2, 63): 't2^-1', (2, 126): 't2', (0, 133): 't3^-1', (1, 62): 'tau3', (1, 212): 't2', (0, 112): 't2^-1', (0, 189): 'tau1', (2, 154): 't3', (1, 76): 'tau2^-1', (0, 63): 't2^-1', (1, 45): 'tau2^-1', (1, 219): 't2^-1', (0, 210): 'tau1^-1*t3', (1, 146): 'tau2', (1, 122): 't1', (0, 182): 'tau1^-1', (1, 20): 't1^-1', (1, 220): 't2^-1*tau3*t1*tau2^-1', (1, 202): 'tau2*t1^-1*tau3^-1*t2', (1, 125): 't1', (0, 174): 't2^-1', (0, 49): 't3^-1', (0, 223): 't2^-1', }