U-tiling: UQC5558
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2217 |
*2244 |
(5,6,2) |
{4,3,8,8,4} |
{3.5.5.3}{3.5.5}{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
|
|
sqc11330
|
|
P42/mmc |
131 |
tetragonal |
{4,3,8,8,4} |
24 |
(5,6) |
G
|
False
|
|
sqc11319
|
|
I-42d |
122 |
tetragonal |
{4,3,8,8,4} |
24 |
(5,7) |
D
|
False
|
|
sqc5728
|
|
P-42m |
111 |
tetragonal |
{3,8,8,4,4} |
12 |
(5,6) |
Topological data
Vertex degrees | {4,3,8,8,4} |
2D vertex symbol | {3.5.5.3}{3.5.5}{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
<54.1:208:105 3 5 7 9 11 13 118 16 18 20 22 24 26 131 29 31 33 35 37 39 144 42 44 46 48 50 52 157 55 57 59 61 63 65 170 68 70 72 74 76 78 183 81 83 85 87 89 91 196 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 107 6 13 8 10 12 15 120 19 26 21 23 25 28 133 32 39 34 36 38 41 146 45 52 47 49 51 54 159 58 65 60 62 64 67 172 71 78 73 75 77 80 185 84 91 86 88 90 93 198 97 104 99 101 103 106 110 117 112 114 116 119 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,14 4 5 19 20 34 35 88 89 116 117 17 18 47 48 101 102 129 130 53 30 31 58 59 49 50 142 143 66 43 44 71 72 155 156 56 57 86 87 75 76 168 169 69 70 99 100 181 182 92 82 83 97 98 194 195 95 96 207 208 118 108 109 123 124 138 139 192 193 121 122 151 152 205 206 157 134 135 162 163 153 154 170 147 148 175 176 160 161 190 191 179 180 173 174 203 204 196 186 187 201 202 199 200:3 5 3 5 3 5 3 5 3 5 3 5 3 5 3 5 5 5 5 5 5 5 5 5,4 3 8 8 4 3 4 4 3 4 4 3 3 4 3 4 3 3 4 8 8 4 4 4> {(2, 60): 't3', (2, 189): 'tau1^-1', (2, 190): 'tau1^-1', (2, 151): 'tau3^-1', (2, 59): 't3', (2, 176): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 177): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 44): 't1*tau2^-1*t3^-1', (2, 45): 't1*tau2^-1*t3^-1', (2, 46): 't1', (2, 47): 't1', (2, 169): 't3*tau2*t1^-1', (2, 39): 't1*tau2^-1*t3^-1', (2, 148): 't1*tau2^-1*t3^-1', (2, 149): 't1*tau2^-1*t3^-1', (2, 150): 'tau3^-1', (2, 23): 't1^-1*tau2*t3', (2, 137): 't2^-1', (2, 138): 't2^-1', (2, 126): 't1^-1*tau2*t3', (2, 127): 't1^-1*tau2*t3', (2, 98): 't3^-1*tau2^-1*t3^-1', (2, 99): 't3^-1*tau2^-1*t3^-1', (2, 22): 't1^-1*tau2*t3'}