U-tiling: UQC2686
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2128 |
*22222 |
(2,6,5) |
{5,3} |
{4.8.3.4.4}{3.8.8} |
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
|
|
sqc11542
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
24 |
(2,6) |
|
G
|
False
|
|
sqc11537
|
|
I4122 |
98 |
tetragonal |
{3,5,5} |
24 |
(3,7) |
|
D
|
False
|
|
sqc6037
|
|
P4222 |
93 |
tetragonal |
{3,5} |
12 |
(2,6) |
Topological data
| Vertex degrees | {3,5} |
| 2D vertex symbol | {4.8.3.4.4}{3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.3:208:27 4 5 19 20 34 35 62 63 129 130 40 17 18 47 48 75 76 103 104 30 31 45 46 88 89 155 156 43 44 114 115 142 143 79 56 57 97 98 86 87 181 182 105 69 70 123 124 112 113 168 169 82 83 136 137 207 208 131 95 96 138 139 166 167 108 109 149 150 194 195 144 121 122 151 152 179 180 134 135 192 193 147 148 205 206 183 160 161 175 176 190 191 196 173 174 203 204 186 187 201 202 199 200,2 120 6 13 8 10 12 15 94 19 26 21 23 25 28 146 32 39 34 36 38 41 133 45 52 47 49 51 54 172 58 65 60 62 64 67 159 71 78 73 75 77 80 198 84 91 86 88 90 93 97 104 99 101 103 106 185 110 117 112 114 116 119 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,118 3 5 7 9 11 13 92 16 18 20 22 24 26 144 29 31 33 35 37 39 131 42 44 46 48 50 52 170 55 57 59 61 63 65 157 68 70 72 74 76 78 196 81 83 85 87 89 91 94 96 98 100 102 104 183 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208:8 3 4 4 4 3 4 4 3 4 3 4 8 3 4 8 3 4 3 4 3 4 8 4,3 5 3 5 3 5 3 5 3 5 3 5 3 5 5 3 5 5 5 5 5 5 5 5> {(0, 115): 't1^-1', (0, 188): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 169): 't3*tau2', (0, 176): 't2^-1*tau3*t1', (0, 136): 'tau2', (0, 190): 'tau2*t3', (0, 20): 't1^-1', (0, 148): 'tau3^-1', (0, 138): 'tau2*t3', (0, 45): 't1', (0, 150): 'tau3^-1*t2', (0, 65): 't2*tau3^-1', (0, 57): 't3', (0, 162): 'tau1^-1', (1, 106): 't1^-1', (0, 152): 't1', (1, 28): 't1^-1', (0, 187): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 110): 'tau3', (0, 135): 'tau2', (0, 48): 't1', (0, 189): 'tau2*t3', (0, 38): 't1^-1', (0, 122): 't2^-1', (2, 26): 't1^-1', (0, 137): 'tau2*t3', (0, 114): 't1^-1', (0, 123): 't2^-1', (0, 21): 't1^-1', (0, 52): 't3*tau2', (0, 116): 't1^-1', (0, 151): 'tau3^-1*t2', (0, 0): 't1', (0, 182): 't1*tau3*t2^-1', (2, 104): 't1^-1', (0, 44): 't1', (0, 153): 't1', (0, 37): 't1^-1', (0, 174): 'tau1', (0, 177): 't2^-1*tau3*t1', (0, 58): 't3', }