U-tiling: UQC657
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc439 |
*2224 |
(2,3,3) |
{4,6} |
{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
|
|
sqc6798
|
|
I4/mmm |
139 |
tetragonal |
{4,6} |
12 |
(2,3) |
|
G
|
False
|
|
sqc11926
|
|
I41/acd |
142 |
tetragonal |
{6,4} |
24 |
(2,4) |
|
D
|
False
|
|
sqc6748
|
|
P42/nnm |
134 |
tetragonal |
{4,6} |
12 |
(2,3) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.1:224:29 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 10 6 82 84 9 13 96 98 16 24 20 103 105 23 27 124 126 30 52 34 110 112 37 66 41 131 133 44 73 48 145 147 51 55 138 140 58 87 62 173 175 65 69 117 119 72 76 180 182 79 94 83 86 90 152 154 93 97 100 122 104 107 136 111 114 129 118 121 125 128 132 135 139 142 178 146 149 171 153 156 185 160 194 196 163 192 167 187 189 170 174 177 181 184 188 191 195 198 213 202 222 224 205 220 209 215 217 212 216 219 223,15 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 4,6 4 4 4 4 6 4 6 4 4 4 4 4 4 6 4 6 6 6 4 6 4 4 4> {(2, 161): 't3^-1', (1, 88): 'tau3', (0, 222): 't2^-1', (1, 60): 'tau3', (0, 84): 't2', (1, 90): 'tau3', (1, 123): 't1', (1, 46): 'tau2^-1', (1, 209): 'tau2^-1*t1*tau3*t2^-1', (2, 140): 't3^-1', (2, 49): 't3^-1', (0, 173): 't2^-1', (2, 63): 't2^-1', (0, 216): 't2', (1, 221): 't2^-1*tau3*t1*tau2^-1', (1, 62): 'tau3', (1, 212): 'tau1^-1*t3', (1, 223): 't2^-1*tau3*t1*tau2^-1', (1, 114): 't2^-1', (1, 184): 'tau1^-1', (2, 168): 't2^-1', (1, 214): 't2*tau3^-1*t1^-1*tau2', (2, 154): 't3', (1, 76): 'tau2^-1', (0, 168): 't2^-1', (1, 219): 'tau1*t3^-1', (1, 18): 't1^-1', (0, 223): 't2^-1', (1, 51): 't3^-1', (1, 20): 't1^-1', (1, 146): 'tau2', (1, 74): 'tau2^-1', (1, 125): 't1', (1, 107): 't3', (1, 65): 't2^-1', (1, 191): 'tau1', }