U-tiling: UQC5578
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2220 |
*22222 |
(5,6,2) |
{8,3,4,4,4} |
{3.5.5.3.3.5.5.3}{3.5.5}{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
|
|
sqc5934
|
|
Fmmm |
69 |
orthorhombic |
{4,4,3,4,8} |
12 |
(5,6) |
|
G
|
False
|
|
sqc11436
|
|
Fddd |
70 |
orthorhombic |
{8,3,4,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5958
|
|
Cmma |
67 |
orthorhombic |
{3,4,4,8,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {8,3,4,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.4:208:53 3 5 7 9 11 13 66 16 18 20 22 24 26 79 29 31 33 35 37 39 92 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 144 107 109 111 113 115 117 131 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 196 159 161 163 165 167 169 183 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 55 6 13 8 10 12 15 68 19 26 21 23 25 28 81 32 39 34 36 38 41 94 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103 106 146 110 117 112 114 116 119 133 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 198 162 169 164 166 168 171 185 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,14 4 5 32 33 125 126 114 115 64 65 17 18 45 46 151 152 140 141 77 78 40 30 31 177 178 166 167 90 91 43 44 203 204 192 193 103 104 66 56 57 84 85 138 139 153 154 69 70 97 98 112 113 127 128 92 82 83 190 191 205 206 95 96 164 165 179 180 131 108 109 162 163 155 156 144 121 122 175 176 142 143 134 135 188 189 147 148 201 202 183 160 161 207 208 196 173 174 194 195 186 187 199 200:3 5 3 5 3 5 3 5 5 5 5 5 3 5 3 5 5 5 3 5 3 5 5 5,8 3 4 4 4 3 4 4 4 3 4 4 3 4 4 8 4 4 8 3 8 3 3 3> {(2, 188): 't2^-1', (2, 191): 'tau3^-1', (2, 187): 't2^-1', (2, 180): 'tau2^-1*t1*tau3', (2, 181): 'tau2^-1*t1*tau3', (2, 182): 't2^-1*tau1^-1*t3', (0, 182): 'tau3^-1*t1^-1*tau2', (2, 178): 'tau2^-1', (2, 179): 'tau2^-1', (2, 174): 't3', (2, 175): 't3', (2, 168): 'tau2*t1^-1*tau3^-1', (2, 169): 't3*tau1^-1*t2^-1', (2, 37): 't1^-1', (2, 165): 'tau2', (2, 166): 'tau2', (2, 167): 'tau2*t1^-1*tau3^-1', (2, 161): 't3^-1', (2, 162): 't3^-1', (0, 26): 't1^-1', (1, 93): 't1', (2, 38): 't1^-1', (2, 148): 't2^-1', (1, 80): 't1', (2, 150): 't2^-1', (2, 151): 't2^-1', (2, 143): 'tau1', (2, 8): 't3', (2, 137): 't2', (2, 138): 't2', (2, 7): 't3', (1, 197): 'tau3*t1*tau2^-1', (2, 130): 'tau1^-1', (1, 184): 'tau3^-1*t1^-1*tau2', (2, 112): 't3', (2, 111): 't3', (2, 50): 't1^-1', (2, 51): 't1^-1', (0, 91): 't1', (0, 156): 'tau2*t1^-1*tau3^-1', (2, 204): 'tau3', (2, 205): 'tau3', (2, 201): 't2', (2, 192): 'tau3^-1'}