U-tiling: UQC3382
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc499 |
*2224 |
(3,3,2) |
{6,3,4} |
{3.8.3.3.8.3}{3.8.8}{8.8.8.8} |
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
|
|
sqc1390
|
|
P4/mmm |
123 |
tetragonal |
{3,6,4} |
7 |
(3,3) |
|
G
|
False
|
|
sqc11868
|
|
I41/acd |
142 |
tetragonal |
{6,3,4} |
28 |
(3,4) |
|
D
|
False
|
|
sqc6741
|
|
P42/nnm |
134 |
tetragonal |
{3,4,6} |
14 |
(3,3) |
Topological data
| Vertex degrees | {6,3,4} |
| 2D vertex symbol | {3.8.3.3.8.3}{3.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.1:224:78 3 5 7 92 10 12 14 99 17 19 21 120 24 26 28 106 31 33 35 127 38 40 42 141 45 47 49 134 52 54 56 169 59 61 63 113 66 68 70 176 73 75 77 80 82 84 148 87 89 91 94 96 98 101 103 105 108 110 112 115 117 119 122 124 126 129 131 133 136 138 140 143 145 147 150 152 154 190 157 159 161 183 164 166 168 171 173 175 178 180 182 185 187 189 192 194 196 218 199 201 203 211 206 208 210 213 215 217 220 222 224,2 80 18 6 35 9 94 25 13 42 16 101 20 49 23 122 27 63 30 108 46 34 37 129 60 41 44 143 48 51 136 74 55 168 58 171 62 65 115 88 69 196 72 178 76 210 79 102 83 119 86 150 90 224 93 123 97 140 100 104 154 107 144 111 161 114 151 118 121 125 182 128 172 132 189 135 179 139 142 146 203 149 153 156 192 200 160 163 185 207 167 170 174 217 177 181 184 214 188 191 221 195 198 220 202 205 213 209 212 216 219 223,8 4 5 83 84 11 12 97 98 22 18 19 104 105 25 26 125 126 50 32 33 111 112 64 39 40 132 133 71 46 47 146 147 53 54 139 140 85 60 61 174 175 67 68 118 119 74 75 181 182 92 81 82 88 89 153 154 95 96 120 102 103 134 109 110 127 116 117 123 124 130 131 137 138 176 144 145 169 151 152 183 158 159 195 196 190 165 166 188 189 172 173 179 180 186 187 193 194 211 200 201 223 224 218 207 208 216 217 214 215 221 222:3 8 3 8 3 3 3 3 3 3 8 3 3 8 3 8 3 8 8 8 3 3 3 3,6 3 4 3 4 3 4 3 4 6 3 6 3 3 3 3 3 3 6 3 6 6 6 3 6 3 3 3> {(1, 121): 't1', (2, 189): 'tau1', (0, 56): 'tau3', (2, 63): 't2^-1', (2, 180): 'tau2', (2, 181): 'tau2', (2, 182): 'tau1^-1', (2, 49): 't3^-1', (1, 212): 't2*tau3^-1*t1^-1*tau2', (0, 42): 'tau2^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (1, 108): 't3', (2, 19): 't1^-1', (1, 100): 't1', (1, 216): 't2', (1, 219): 't2^-1*tau3*t1*tau2^-1', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 26): 't1^-1', (2, 27): 't1^-1', (2, 20): 't1^-1', (2, 145): 'tau2', (2, 146): 'tau2', (1, 86): 'tau3', (1, 73): 't3', (1, 72): 'tau2^-1', (0, 14): 't1^-1', (1, 206): 't3', (2, 133): 't3^-1', (1, 66): 't2^-1', (1, 199): 't3^-1', (2, 126): 't2', (1, 58): 'tau3', (1, 171): 't2^-1', (0, 217): 't2^-1*tau3*t1*tau2^-1', (1, 44): 'tau2^-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', (2, 217): 'tau1*t3^-1', (0, 210): 't2*tau3^-1*t1^-1*tau2', (2, 215): 't2*tau3^-1*t1^-1*tau2', (0, 84): 'tau3', (2, 196): 't3^-1*tau1', (0, 21): 't1^-1', (0, 70): 'tau2^-1'}