U-tiling: UQC5943
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc172 |
*2223 |
(3,3,1) |
{4,4,3} |
{5.5.5.5}{5.5.5.5}{5.5.5} |
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
|
|
sqc7184
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,4,4,4} |
16 |
(6,7) |
|
G
|
False
|
|
sqc12082
|
|
Fddd |
70 |
orthorhombic |
{4,4,3,4,4,4} |
32 |
(6,8) |
|
D
|
False
|
|
sqc7372
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,4,4,4} |
16 |
(6,7) |
Topological data
| Vertex degrees | {4,4,3,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.4:240:61 3 5 7 9 11 13 15 76 18 20 22 24 26 28 30 91 33 35 37 39 41 43 45 106 48 50 52 54 56 58 60 63 65 67 69 71 73 75 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120 166 123 125 127 129 131 133 135 151 138 140 142 144 146 148 150 153 155 157 159 161 163 165 168 170 172 174 176 178 180 226 183 185 187 189 191 193 195 211 198 200 202 204 206 208 210 213 215 217 219 221 223 225 228 230 232 234 236 238 240,2 4 65 8 15 10 12 14 17 19 80 23 30 25 27 29 32 34 95 38 45 40 42 44 47 49 110 53 60 55 57 59 62 64 68 75 70 72 74 77 79 83 90 85 87 89 92 94 98 105 100 102 104 107 109 113 120 115 117 119 122 124 170 128 135 130 132 134 137 139 155 143 150 145 147 149 152 154 158 165 160 162 164 167 169 173 180 175 177 179 182 184 230 188 195 190 192 194 197 199 215 203 210 205 207 209 212 214 218 225 220 222 224 227 229 233 240 235 237 239,16 32 33 6 7 38 39 145 146 132 133 74 75 47 48 21 22 53 54 175 176 162 163 89 90 46 36 37 205 206 192 193 104 105 51 52 235 236 222 223 119 120 76 92 93 66 67 98 99 160 161 177 178 107 108 81 82 113 114 130 131 147 148 106 96 97 220 221 237 238 111 112 190 191 207 208 151 182 183 126 127 188 189 179 180 166 197 198 141 142 203 204 164 165 212 213 156 157 218 219 227 228 171 172 233 234 211 186 187 239 240 226 201 202 224 225 216 217 231 232:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 3 4 4 4 4 3 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 3> {(2, 188): 't3^-1', (2, 191): 'tau2', (2, 58): 't1^-1', (2, 187): 't3^-1', (2, 180): 't3^-1*tau1*t2', (2, 181): 't3^-1', (2, 182): 't3^-1', (2, 43): 't1^-1', (0, 180): 'tau2*t1^-1*tau3^-1', (2, 172): 't2^-1', (2, 173): 't2^-1', (2, 174): 't2^-1', (2, 175): 't2^-1', (1, 109): 't1', (0, 45): 't1^-1', (2, 165): 'tau1', (2, 166): 't2^-1', (2, 167): 't2^-1', (2, 160): 't2', (2, 157): 't2', (2, 158): 't2', (2, 159): 't2', (0, 30): 't1^-1', (1, 94): 't1', (1, 229): 'tau3*t1*tau2^-1', (2, 150): 'tau1^-1', (2, 151): 't2', (2, 144): 't3^-1', (2, 145): 't3^-1', (1, 214): 'tau3^-1*t1^-1*tau2', (2, 142): 't3^-1', (2, 143): 't3^-1', (2, 136): 't3^-1', (2, 137): 't3^-1', (2, 129): 't3', (2, 130): 't3', (2, 236): 'tau3', (2, 237): 'tau3', (2, 238): 'tau3*t1*tau2^-1', (2, 224): 'tau3^-1*t1^-1*tau2', (2, 225): 't2*tau1*t3^-1', (2, 221): 'tau3^-1', (2, 222): 'tau3^-1', (2, 223): 'tau3^-1*t1^-1*tau2', (2, 212): 't2^-1', (2, 59): 't1^-1', (0, 210): 'tau3^-1*t1^-1*tau2', (2, 206): 'tau2^-1', (2, 207): 'tau2^-1', (2, 44): 't1^-1', (2, 192): 'tau2', (2, 194): 'tau2*t1^-1*tau3^-1'}