U-tiling: UQC5884
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2347 |
*2244 |
(6,6,2) |
{4,4,3,8,4,4} |
{4.4.4.4}{4.5.5.4}{4.5.5}{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
|
|
sqc11895
|
|
P4/nmm |
129 |
tetragonal |
{4,4,3,8,4,4} |
28 |
(6,6) |
G
|
False
|
|
sqc11898
|
|
I41/a |
88 |
tetragonal |
{4,4,3,8,4,4} |
28 |
(6,7) |
D
|
False
|
|
sqc11894
|
|
I41/amd |
141 |
tetragonal |
{4,4,3,8,4,4} |
28 |
(6,6) |
Topological data
Vertex degrees | {4,4,3,8,4,4} |
2D vertex symbol | {4.4.4.4}{4.5.5.4}{4.5.5}{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
<63.1:224:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224,85 3 88 7 14 9 11 13 99 17 102 21 28 23 25 27 113 31 116 35 42 37 39 41 141 45 144 49 56 51 53 55 155 59 158 63 70 65 67 69 127 73 130 77 84 79 81 83 87 91 98 93 95 97 101 105 112 107 109 111 115 119 126 121 123 125 129 133 140 135 137 139 143 147 154 149 151 153 157 161 168 163 165 167 211 171 214 175 182 177 179 181 197 185 200 189 196 191 193 195 199 203 210 205 207 209 213 217 224 219 221 223,29 30 5 6 35 36 93 94 25 26 97 98 43 44 19 20 49 50 107 108 111 112 33 34 121 122 67 68 125 126 47 48 149 150 81 82 153 154 183 184 61 62 189 190 163 164 167 168 211 212 75 76 217 218 135 136 139 140 127 128 89 90 133 134 109 110 155 156 103 104 161 162 169 170 117 118 175 176 165 166 131 132 151 152 197 198 145 146 203 204 159 160 173 174 219 220 207 208 223 224 187 188 205 206 221 222 209 210 201 202 215 216:4 5 4 5 4 5 4 5 4 5 4 5 5 5 5 5 5 5 4 5 4 5 5 5,4 4 3 8 4 4 4 4 3 8 3 4 4 3 4 4 4 3 4 3 4 4 4 4 3 4 4 3> {(2, 190): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 191): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 52): 't2', (2, 53): 't2', (2, 176): 't3*tau2*t1^-1*tau3^-1*t2', (2, 177): 't3*tau2*t1^-1*tau3^-1*t2', (2, 50): 'tau3*t2^-1', (2, 51): 'tau3*t2^-1', (2, 164): 't3^-1', (2, 165): 't3^-1', (2, 36): 'tau2^-1*t3^-1', (2, 37): 'tau2^-1*t3^-1', (2, 38): 't3', (2, 39): 't3', (2, 162): 'tau2*t3', (2, 163): 'tau2*t3', (2, 151): 't2', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 136): 't2^-1', (2, 9): 't1^-1', (2, 8): 't1^-1', (2, 178): 'tau1', (2, 179): 'tau1', (2, 220): 'tau1', (2, 78): 't2^-1*tau3', (2, 79): 't2^-1*tau3', (2, 193): 'tau1^-1'}