U-tiling: UQC5651
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2238 |
*22222 |
(5,6,2) |
{4,4,3,4,4} |
{10.10.10.10}{10.4.4.10}{10.4.4}... |
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
|
|
sqc11580
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3,4,4} |
28 |
(5,6) |
|
G
|
False
|
|
sqc11581
|
|
I4122 |
98 |
tetragonal |
{4,4,3,4,4} |
28 |
(5,7) |
|
D
|
False
|
|
sqc5950
|
|
P4222 |
93 |
tetragonal |
{4,3,4,4,4} |
14 |
(5,6) |
Topological data
| Vertex degrees | {4,4,3,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.3:208:118 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 98 100 102 104 183 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 57 8 13 10 12 15 17 70 21 26 23 25 28 30 83 34 39 36 38 41 43 109 47 52 49 51 54 56 60 65 62 64 67 69 73 78 75 77 80 82 86 91 88 90 93 95 161 99 104 101 103 106 108 112 117 114 116 119 121 174 125 130 127 129 132 134 187 138 143 140 142 145 147 200 151 156 153 155 158 160 164 169 166 168 171 173 177 182 179 181 184 186 190 195 192 194 197 199 203 208 205 207,27 15 16 6 7 21 22 36 37 64 65 40 19 20 49 50 77 78 41 42 32 33 47 48 90 91 45 46 116 117 79 93 94 58 59 99 100 88 89 105 119 120 71 72 125 126 114 115 132 133 84 85 138 139 131 97 98 140 141 168 169 145 146 110 111 151 152 144 123 124 153 154 181 182 136 137 194 195 149 150 207 208 183 171 172 162 163 177 178 192 193 196 175 176 205 206 197 198 188 189 203 204 201 202:10 4 10 4 10 4 10 4 4 4 4 4 4 4 4 4 4 4 4 4,4 4 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 3 4 4 3 4 3 3 4 4 4 4> {(2, 60): 't3', (2, 189): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 190): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 191): 'tau2*t3', (2, 184): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 59): 't3', (2, 52): 't3*tau2', (2, 53): 't3', (2, 182): 't1*tau3*t2^-1', (2, 183): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 176): 'tau1', (2, 177): 'tau1', (2, 178): 't2^-1*tau3*t1', (2, 179): 't2^-1*tau3*t1', (2, 46): 't1', (2, 47): 't1', (2, 40): 't1', (2, 169): 't3*tau2', (2, 170): 'tau1', (2, 171): 'tau1', (2, 166): 't3^-1*tau2^-1', (0, 26): 't1^-1', (2, 152): 'tau3^-1*t2', (2, 153): 'tau3^-1*t2', (2, 154): 't1', (2, 155): 't1', (2, 150): 'tau3^-1', (2, 151): 'tau3^-1', (2, 144): 'tau3^-1', (2, 145): 'tau3^-1', (2, 140): 'tau2*t3', (2, 137): 'tau2', (2, 138): 'tau2', (2, 139): 'tau2*t3', (2, 132): 'tau2', (2, 54): 't3', (1, 199): 't1^-1', (2, 131): 'tau2', (2, 124): 't2^-1', (2, 48): 't1', (2, 118): 't2^-1', (2, 119): 't2^-1', (2, 49): 't1', (1, 43): 't1', (2, 104): 'tau3*t2^-1', (2, 50): 't1', (2, 51): 't1', (0, 182): 't1', (2, 26): 't1^-1', (2, 73): 't2', (2, 41): 't1'}