U-tiling: UQC5748
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2332 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8}{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
|
True
|
|
sqc6218
|
|
Fmmm |
69 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,7) |
|
G
|
False
|
|
sqc11818
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6852
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.5:224:15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 71 59 61 63 65 67 69 84 73 75 77 79 81 83 99 87 89 91 93 95 97 112 101 103 105 107 109 111 141 115 117 119 121 123 125 154 155 129 131 133 135 137 139 168 143 145 147 149 151 153 157 159 161 163 165 167 197 171 173 175 177 179 181 210 211 185 187 189 191 193 195 224 199 201 203 205 207 209 213 215 217 219 221 223,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110 114 116 118 126 122 125 124 128 130 132 140 136 139 138 142 144 146 154 150 153 152 156 158 160 168 164 167 166 170 172 174 182 178 181 180 184 186 188 196 192 195 194 198 200 202 210 206 209 208 212 214 216 224 220 223 222,29 128 129 116 117 8 9 122 123 68 69 70 43 156 157 144 145 22 23 150 151 82 83 84 184 185 172 173 36 37 178 179 96 97 98 212 213 200 201 50 51 206 207 110 111 112 85 142 143 158 159 64 65 164 165 99 114 115 130 131 78 79 136 137 198 199 214 215 92 93 220 221 170 171 186 187 106 107 192 193 169 120 121 166 167 168 183 134 135 152 153 154 197 148 149 211 162 163 176 177 222 223 224 190 191 208 209 210 204 205 218 219:8 3 3 8 3 3 8 3 3 8 3 3 8 3 8 3 3 3 8 3 8 3 3 3,4 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> {(2, 191): 'tau2^-1', (2, 185): 'tau2^-1', (2, 186): 'tau2^-1', (2, 180): 'tau2*t1^-1*tau3^-1', (2, 181): 'tau2*t1^-1*tau3^-1', (2, 182): 't3', (2, 55): 't1^-1', (0, 182): 't3*tau1^-1*t2^-1', (2, 177): 'tau2', (2, 178): 'tau2', (2, 179): 'tau2*t1^-1*tau3^-1', (2, 172): 'tau2', (2, 168): 't3^-1', (2, 41): 't1^-1', (2, 171): 'tau2', (2, 39): 't1^-1', (0, 167): 'tau1', (2, 156): 't2^-1', (2, 154): 't2^-1', (2, 155): 't2^-1', (2, 140): 't2', (2, 141): 't2', (2, 142): 't2', (2, 53): 't1^-1', (2, 128): 't3^-1', (2, 54): 't1^-1', (0, 126): 'tau1^-1', (0, 125): 'tau1', (0, 112): 'tau1', (2, 113): 't3', (2, 114): 't3', (2, 220): 'tau3', (0, 223): 't2*tau1*t3^-1', (2, 219): 'tau3', (2, 213): 'tau3', (2, 214): 'tau3', (0, 209): 't2^-1*tau1^-1*t3', (2, 208): 'tau3^-1*t1^-1*tau2', (2, 209): 'tau3^-1*t1^-1*tau2', (2, 1): 't3', (2, 205): 'tau3^-1', (2, 206): 'tau3^-1', (2, 207): 'tau3^-1*t1^-1*tau2', (2, 200): 'tau3^-1', (2, 40): 't1^-1', (2, 199): 'tau3^-1', (2, 192): 'tau2^-1', (0, 196): 't2^-1*tau1^-1*t3'}