U-tiling: UQC5557
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
|
True
|
|
sqc4997
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4,6,6} |
12 |
(5,6) |
|
G
|
False
|
|
sqc11317
|
|
I41/a |
88 |
tetragonal |
{4,3,8,8,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc11327
|
|
I41/amd |
141 |
tetragonal |
{4,3,8,8,4} |
24 |
(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
<54.1:208:14 3 5 7 9 11 13 16 18 20 22 24 26 53 29 31 33 35 37 39 66 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104 144 107 109 111 113 115 117 131 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 183 159 161 163 165 167 169 196 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 16 6 13 8 10 12 15 19 26 21 23 25 28 55 32 39 34 36 38 41 68 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 94 84 91 86 88 90 93 97 104 99 101 103 106 146 110 117 112 114 116 119 133 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 185 162 169 164 166 168 171 198 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,79 4 5 84 85 34 35 88 89 25 26 92 17 18 97 98 47 48 101 102 105 30 31 110 111 114 115 64 65 131 43 44 136 137 140 141 77 78 144 56 57 149 150 177 178 153 154 118 69 70 123 124 203 204 127 128 82 83 125 126 103 104 95 96 151 152 108 109 164 165 155 156 121 122 142 143 134 135 190 191 147 148 196 160 161 201 202 205 206 194 195 183 173 174 188 189 192 193 207 208 186 187 199 200:3 5 5 3 5 3 5 5 5 3 5 5 3 5 3 5 5 5 3 5 3 5 5 5,4 3 8 8 4 4 8 8 4 3 4 4 3 4 4 4 3 3 3 4 3 4 4 3> {(2, 188): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 't3^-1', (2, 187): 't2*tau3^-1*t1^-1*tau2*t3', (2, 180): 'tau1^-1', (2, 181): 'tau1^-1', (2, 182): 't2*tau3^-1*t1^-1*tau2*t3', (0, 182): 'tau1^-1', (1, 119): 't2^-1', (2, 51): 't2', (1, 106): 't3', (2, 168): 'tau1', (2, 38): 't3', (2, 167): 'tau1', (2, 32): 'tau2^-1*t3^-1', (0, 39): 't2', (2, 162): 't3*tau2*t1^-1*tau3^-1*t2', (0, 26): 't3', (2, 31): 'tau2^-1*t3^-1', (2, 154): 't3^-1', (2, 155): 't3^-1', (2, 148): 'tau2*t3', (2, 149): 'tau2*t3', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 141): 't2', (2, 142): 't2', (2, 143): 'tau2*t3', (2, 136): 't2*tau3^-1', (0, 130): 't2', (2, 5): 't1^-1', (1, 67): 't2^-1', (2, 135): 't2*tau3^-1', (2, 0): 't1^-1', (2, 130): 't2*tau3^-1', (1, 184): 'tau1^-1', (2, 122): 'tau3^-1*t2', (2, 123): 'tau3^-1*t2', (2, 117): 'tau3^-1*t2', (1, 54): 't3^-1', (0, 104): 't3', (2, 50): 't2', (2, 13): 't1^-1', (2, 6): 't1^-1', (2, 26): 'tau2^-1*t3^-1', (1, 197): 'tau1', (0, 169): 'tau1^-1', (2, 200): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 195): 't2^-1*tau3*t1*tau2^-1*t3^-1'}