U-tiling: UQC5580
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
|
True
|
|
sqc11274
|
|
P4/mmm |
123 |
tetragonal |
{7,3,4,4,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11413
|
|
I4122 |
98 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5645
|
|
P4222 |
93 |
tetragonal |
{8,4,3,4,4} |
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
<18.1:208:27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 105 68 70 72 74 76 78 81 83 85 87 89 91 131 94 96 98 100 102 104 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 183 159 161 163 165 167 169 196 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 29 6 13 8 10 12 15 42 19 26 21 23 25 28 32 39 34 36 38 41 45 52 47 49 51 54 81 58 65 60 62 64 67 107 71 78 73 75 77 80 84 91 86 88 90 93 133 97 104 99 101 103 106 110 117 112 114 116 119 146 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 185 162 169 164 166 168 171 198 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,53 4 5 123 124 34 35 23 24 38 39 66 17 18 97 98 47 48 51 52 79 30 31 149 150 49 50 105 43 44 136 137 56 57 175 176 86 87 101 102 90 91 69 70 162 163 112 113 127 128 116 117 82 83 201 202 140 141 157 95 96 138 139 142 143 108 109 188 189 153 154 170 121 122 151 152 155 156 183 134 135 196 147 148 160 161 190 191 179 180 194 195 173 174 203 204 207 208 186 187 205 206 199 200:3 5 3 5 5 5 3 5 3 5 5 3 5 5 3 5 5 5 3 5 3 5 5 5,8 3 4 4 4 8 3 4 8 8 3 4 4 4 3 4 4 4 3 3 3 4 4 3> {(2, 188): 't1', (2, 189): 't1*tau3*t2^-1', (2, 190): 't1*tau3*t2^-1', (2, 191): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 187): 't1', (2, 180): 't2^-1*tau3*t1', (2, 181): 't2^-1*tau3*t1', (2, 176): 't3*tau2', (2, 177): 't3*tau2', (1, 119): 't2^-1*tau3', (2, 179): 'tau1', (0, 169): 't2^-1*tau3*t1', (2, 168): 't3^-1*tau2^-1', (2, 165): 'tau1^-1', (2, 60): 't3*tau2', (2, 167): 't3^-1*tau2^-1', (0, 39): 't1', (2, 34): 't1^-1', (2, 49): 't1', (2, 39): 't1', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 154): 'tau3^-1*t2', (2, 155): 'tau3^-1*t2', (2, 148): 't1', (2, 149): 't1', (2, 59): 't3*tau2', (2, 33): 't1^-1', (2, 140): 'tau2', (2, 141): 'tau2*t3', (2, 142): 'tau2*t3', (2, 143): 't1', (2, 61): 't3', (1, 197): 't1^-1*tau3^-1*t2', (1, 184): 'tau2*t3', (2, 126): 't2^-1', (2, 127): 't2^-1', (2, 48): 't1', (2, 112): 'tau3*t2^-1', (0, 117): 't2^-1*tau3', (1, 41): 't1', (2, 111): 'tau3*t2^-1', (2, 50): 't1', (2, 62): 't3', (1, 93): 't3^-1*tau2^-1', (2, 51): 't1', (0, 91): 't3^-1*tau2^-1', (0, 156): 't3^-1*tau2^-1', (2, 87): 'tau2^-1', (2, 205): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1'}