U-tiling: UQC5796
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc371 |
*2224 |
(3,4,2) |
{4,4,4} |
{4.5.5.4}{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
|
|
sqc6910
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
|
G
|
False
|
|
sqc11980
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6933
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {4.5.5.4}{4.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.3:224:113 3 5 7 9 11 13 126 141 17 19 21 23 25 27 154 169 31 33 35 37 39 41 182 197 45 47 49 51 53 55 210 155 59 61 63 65 67 69 168 127 73 75 77 79 81 83 140 211 87 89 91 93 95 97 224 183 101 103 105 107 109 111 196 115 117 119 121 123 125 129 131 133 135 137 139 143 145 147 149 151 153 157 159 161 163 165 167 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110 114 126 118 125 120 122 124 128 140 132 139 134 136 138 142 154 146 153 148 150 152 156 168 160 167 162 164 166 170 182 174 181 176 178 180 184 196 188 195 190 192 194 198 210 202 209 204 206 208 212 224 216 223 218 220 222,57 4 5 62 63 22 23 38 39 138 139 140 71 18 19 76 77 52 53 166 167 168 85 32 33 90 91 50 51 194 195 196 99 46 47 104 105 222 223 224 60 61 78 79 94 95 152 153 154 74 75 108 109 124 125 126 88 89 106 107 208 209 210 102 103 180 181 182 155 116 117 160 161 148 149 178 179 141 130 131 146 147 162 163 192 193 144 145 206 207 158 159 220 221 211 172 173 216 217 204 205 197 186 187 202 203 218 219 200 201 214 215:4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 5 5 5 5 5 5 5 5,4 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, 188): 'tau2^-1*t1*tau3', (2, 189): 't3*tau1^-1*t2^-1', (2, 190): 't3*tau1^-1*t2^-1', (2, 191): 't3', (2, 187): 'tau2^-1*t1*tau3', (2, 182): 'tau2^-1*t1*tau3', (2, 176): 't3^-1*tau1*t2', (0, 55): 'tau3', (2, 178): 't3^-1', (0, 42): 'tau3', (2, 173): 'tau2*t1^-1*tau3^-1', (2, 174): 'tau2*t1^-1*tau3^-1', (0, 41): 'tau2^-1', (2, 168): 'tau2*t1^-1*tau3^-1', (2, 42): 't1^-1', (2, 164): 't2^-1', (2, 165): 't2^-1', (2, 166): 't2^-1', (2, 167): 't2^-1', (2, 161): 'tau1', (2, 162): 'tau1', (2, 163): 't2^-1', (2, 28): 't1^-1', (2, 152): 't2', (2, 153): 't2', (0, 28): 'tau2^-1', (2, 148): 'tau1^-1', (2, 149): 't2', (2, 150): 't2', (2, 151): 't2', (2, 147): 'tau1^-1', (2, 136): 't3^-1', (2, 137): 't3^-1', (2, 138): 't3^-1', (2, 139): 't3^-1', (2, 34): 't1^-1', (2, 124): 't3', (2, 125): 't3', (2, 123): 't3', (2, 48): 't1^-1', (2, 33): 't1^-1', (2, 177): 't3^-1', (2, 47): 't1^-1', (0, 111): 'tau2', (0, 98): 'tau2', (0, 97): 'tau3^-1', (0, 84): 'tau3^-1', (2, 175): 't3^-1*tau1*t2'}