U-tiling: UQC5895
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2354 |
*2244 |
(6,6,2) |
{4,8,4,3,4,4} |
{6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4... |
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
|
|
sqc5610
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4,4,6} |
13 |
(5,6) |
G
|
False
|
|
sqc11746
|
|
I41/a |
88 |
tetragonal |
{4,8,4,3,4,4} |
28 |
(6,7) |
D
|
False
|
|
sqc11760
|
|
I41/amd |
141 |
tetragonal |
{4,8,4,3,4,4} |
28 |
(6,6) |
Topological data
Vertex degrees | {4,8,4,3,4,4} |
2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.1:224:2 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 5 90 9 14 11 13 99 17 19 104 23 28 25 27 113 31 33 118 37 42 39 41 141 45 47 146 51 56 53 55 155 59 61 160 65 70 67 69 127 73 75 132 79 84 81 83 87 89 93 98 95 97 101 103 107 112 109 111 115 117 121 126 123 125 129 131 135 140 137 139 143 145 149 154 151 153 157 159 163 168 165 167 211 171 173 216 177 182 179 181 197 185 187 202 191 196 193 195 199 201 205 210 207 209 213 215 219 224 221 223,29 30 87 88 7 8 93 94 25 26 97 98 43 44 101 102 21 22 107 108 111 112 115 116 35 36 121 122 67 68 125 126 143 144 49 50 149 150 81 82 153 154 183 184 157 158 63 64 163 164 167 168 211 212 129 130 77 78 135 136 139 140 127 128 91 92 109 110 155 156 105 106 169 170 119 120 165 166 133 134 151 152 197 198 147 148 161 162 213 214 175 176 219 220 207 208 223 224 199 200 189 190 205 206 221 222 209 210 203 204 217 218:6 4 6 4 6 4 6 4 6 4 6 4 4 4 4 4 4 4 6 4 6 4 4 4,4 8 4 3 4 4 4 8 4 3 4 3 4 4 4 3 4 4 4 3 4 3 4 3 4 4 4 3> {(2, 190): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 191): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 184): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 185): '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, 178): 'tau1', (2, 179): 'tau1', (2, 36): 'tau2^-1*t3^-1', (2, 170): 't3*tau2*t1^-1*tau3^-1*t2', (2, 171): 't3*tau2*t1^-1*tau3^-1*t2', (2, 164): 't3^-1', (2, 165): 't3^-1', (2, 38): 't3', (2, 39): 't3', (2, 162): 'tau2*t3', (2, 163): 'tau2*t3', (2, 156): 'tau2*t3', (2, 157): 'tau2*t3', (2, 30): 'tau2^-1*t3^-1', (2, 31): 'tau2^-1*t3^-1', (2, 23): 't1^-1', (2, 148): 't2*tau3^-1', (2, 149): 't2*tau3^-1', (2, 150): 't2', (2, 151): 't2', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 142): 't2*tau3^-1', (2, 143): 't2*tau3^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 134): 'tau3^-1*t2', (2, 135): 'tau3^-1*t2', (2, 128): 'tau3^-1*t2', (2, 129): 'tau3^-1*t2', (2, 2): 't1^-1', (2, 3): 't1^-1', (2, 37): 'tau2^-1*t3^-1', (2, 220): 'tau1', (2, 221): 'tau1', (2, 22): 't1^-1'}