U-tiling: UQC3399
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc511 |
*2224 |
(3,3,2) |
{6,3,4} |
{6.4.6.6.4.6}{6.4.4}{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
|
|
sqc6792
|
|
I4/mmm |
139 |
tetragonal |
{3,6,4} |
14 |
(3,3) |
|
G
|
False
|
|
sqc11927
|
|
I41/acd |
142 |
tetragonal |
{6,3,4} |
28 |
(3,4) |
|
D
|
False
|
|
sqc1415
|
|
I4/mmm |
139 |
tetragonal |
{4,3,6} |
7 |
(3,3) |
Topological data
| Vertex degrees | {6,3,4} |
| 2D vertex symbol | {6.4.6.6.4.6}{6.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:224:8 3 5 7 10 12 14 22 17 19 21 24 26 28 50 31 33 35 64 38 40 42 71 45 47 49 52 54 56 85 59 61 63 66 68 70 73 75 77 92 80 82 84 87 89 91 94 96 98 120 101 103 105 134 108 110 112 127 115 117 119 122 124 126 129 131 133 136 138 140 176 143 145 147 169 150 152 154 183 157 159 161 190 164 166 168 171 173 175 178 180 182 185 187 189 192 194 196 211 199 201 203 218 206 208 210 213 215 217 220 222 224,2 80 32 6 35 9 94 39 13 42 16 101 46 20 49 23 122 60 27 63 30 108 34 37 129 41 44 143 48 51 136 165 55 168 58 171 62 65 115 193 69 196 72 178 207 76 210 79 116 83 119 86 150 221 90 224 93 137 97 140 100 151 104 154 107 158 111 161 114 118 121 179 125 182 128 186 132 189 135 139 142 200 146 203 149 153 156 192 160 163 185 167 170 214 174 217 177 181 184 188 191 195 198 220 202 205 213 209 212 216 219 223,15 4 5 83 84 22 11 12 97 98 18 19 104 105 25 26 125 126 43 32 33 111 112 57 39 40 132 133 46 47 146 147 71 53 54 139 140 60 61 174 175 85 67 68 118 119 74 75 181 182 99 81 82 88 89 153 154 120 95 96 102 103 141 109 110 148 116 117 123 124 169 130 131 176 137 138 144 145 151 152 197 158 159 195 196 204 165 166 188 189 172 173 179 180 211 186 187 218 193 194 200 201 223 224 207 208 216 217 214 215 221 222:6 4 4 6 4 4 6 6 6 4 6 4 4 4 4 4 4 4 4 4 4 6 4 6,6 3 4 6 3 4 3 4 3 4 3 3 3 6 3 3 6 3 3 6 3 6 6 6 3 3 3 3> {(1, 121): 't1', (2, 61): 'tau3', (2, 62): 'tau3', (2, 63): 't2^-1', (0, 63): 't2^-1', (0, 189): 'tau1', (2, 180): 'tau2', (2, 181): 'tau2', (0, 49): 't3^-1', (2, 48): 'tau2^-1', (2, 49): 't3^-1', (2, 47): 'tau2^-1', (2, 168): 't2^-1', (1, 86): 'tau3', (2, 161): 't3^-1', (0, 154): 'tau1', (1, 216): 't2', (1, 219): 't2^-1*tau3*t1*tau2^-1', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 154): 't3', (2, 27): 't1^-1', (2, 20): 't1^-1', (1, 213): 't2', (1, 212): 't2*tau3^-1*t1^-1*tau2', (1, 87): 't2', (2, 19): 't1^-1', (2, 140): 't3^-1', (1, 72): 'tau2^-1', (2, 124): 't1', (1, 58): 'tau3', (0, 126): 't2', (0, 217): 'tau1*t3^-1', (2, 222): 't2^-1*tau3*t1*tau2^-1', (2, 223): 't2^-1*tau3*t1*tau2^-1', (2, 216): 't2*tau3^-1*t1^-1*tau2', (1, 100): 't1', (2, 90): 'tau3', (0, 210): 'tau1^-1*t3', (2, 208): 'tau2^-1*t1*tau3*t2^-1', (0, 105): 't3', (1, 142): 'tau2'}