U-tiling: UQC5799
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
|
|
sqc11821
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,7) |
|
G
|
False
|
|
sqc11820
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6713
|
|
P4222 |
93 |
tetragonal |
{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
<29.2:224:57 3 5 7 9 11 13 70 71 17 19 21 23 25 27 84 85 31 33 35 37 39 41 98 113 45 47 49 51 53 55 126 59 61 63 65 67 69 73 75 77 79 81 83 87 89 91 93 95 97 169 101 103 105 107 109 111 182 115 117 119 121 123 125 183 129 131 133 135 137 139 196 197 143 145 147 149 151 153 210 211 157 159 161 163 165 167 224 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 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 96 100 112 104 111 106 108 110 114 126 118 125 120 122 124 128 140 132 139 134 136 138 142 154 146 153 148 150 152 156 168 160 167 162 164 166 170 182 174 181 176 178 180 184 196 188 195 190 192 194 198 210 202 209 204 206 208 212 224 216 223 218 220 222,127 4 5 132 133 36 37 24 25 40 41 42 99 18 19 104 105 50 51 54 55 56 155 32 33 160 161 52 53 141 46 47 146 147 183 60 61 188 189 92 93 108 109 96 97 98 169 74 75 174 175 120 121 136 137 124 125 126 211 88 89 216 217 150 151 102 103 148 149 152 153 154 197 116 117 202 203 164 165 130 131 162 163 166 167 168 144 145 158 159 172 173 204 205 192 193 208 209 210 186 187 218 219 222 223 224 200 201 220 221 214 215:4 5 4 5 4 5 4 5 5 5 5 4 5 5 4 5 4 5 4 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, 189): 't3*tau2', (2, 190): 't3*tau2', (2, 191): 'tau1', (2, 180): 't3^-1*tau2^-1', (2, 181): 't3^-1*tau2^-1', (2, 54): 't1', (2, 55): 't1', (2, 176): 't2*tau3^-1*t1^-1', (0, 55): 't1', (2, 178): 'tau1^-1', (2, 179): 't3^-1*tau2^-1', (0, 42): 't1', (2, 36): 't1^-1', (2, 175): 't2*tau3^-1*t1^-1', (2, 164): 'tau3^-1', (2, 165): 'tau3^-1*t2', (2, 166): 'tau3^-1*t2', (2, 167): 'tau3^-1*t2', (2, 160): 't1', (2, 163): 'tau3^-1', (2, 159): 't1', (2, 152): 'tau2*t3', (2, 153): 'tau2*t3', (2, 154): 't1', (2, 149): 'tau2', (2, 150): 'tau2', (2, 151): 'tau2*t3', (2, 52): 't1', (2, 136): 't2^-1', (2, 53): 't1', (2, 135): 't2^-1', (2, 35): 't1^-1', (2, 92): 'tau2^-1*t3^-1', (2, 120): 'tau3*t2^-1', (2, 119): 'tau3*t2^-1', (2, 108): 't3^-1', (2, 107): 't3^-1', (2, 51): 't1', (2, 220): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 221): 't1^-1*tau3^-1*t2', (2, 222): 't1^-1*tau3^-1*t2', (2, 223): 't1^-1*tau3^-1*t2', (0, 223): 't1^-1', (2, 219): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 210): 't1^-1', (2, 63): 't3*tau2', (2, 201): 't1', (2, 202): 't1', (2, 196): 't1'}