U-tiling: UQC5573
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
|
|
sqc11462
|
|
P4/mmm |
123 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11463
|
|
I4122 |
98 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5957
|
|
P4222 |
93 |
tetragonal |
{4,3,4,4,8} |
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
<18.5:208:14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 92 55 57 59 61 63 65 118 68 70 72 74 76 78 131 81 83 85 87 89 91 94 96 98 100 102 104 144 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 196 185 187 189 191 193 195 198 200 202 204 206 208,2 16 6 13 8 10 12 15 19 26 21 23 25 28 42 32 39 34 36 38 41 45 52 47 49 51 54 94 58 65 60 62 64 67 120 71 78 73 75 77 80 133 84 91 86 88 90 93 97 104 99 101 103 106 146 110 117 112 114 116 119 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 172 162 169 164 166 168 171 175 182 177 179 181 184 198 188 195 190 192 194 197 201 208 203 205 207,27 4 5 58 59 125 126 36 37 25 26 40 17 18 71 72 99 100 49 50 30 31 84 85 151 152 51 52 43 44 110 111 138 139 79 56 57 177 178 88 89 103 104 105 69 70 164 165 114 115 129 130 82 83 203 204 142 143 131 95 96 162 163 140 141 108 109 190 191 155 156 144 121 122 175 176 153 154 134 135 188 189 147 148 201 202 183 160 161 192 193 181 182 196 173 174 205 206 186 187 207 208 199 200:3 5 5 3 5 5 3 5 3 5 3 5 5 3 5 5 5 5 3 5 5 3 5 5,8 3 4 4 4 8 4 4 3 4 4 3 4 4 3 4 4 3 8 3 8 3 4 3> {(2, 189): 't1', (2, 190): 't1', (2, 191): 't1*tau3*t2^-1', (2, 61): 't3*tau2', (2, 180): 'tau1', (2, 181): 'tau1', (2, 182): 'tau2*t3', (0, 182): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 62): 't3*tau2', (0, 52): 't3', (2, 179): 't3*tau2', (2, 44): 't1', (2, 45): 't1', (1, 106): 'tau3', (2, 169): 't2^-1*tau3*t1', (2, 36): 't1^-1', (2, 166): 't2*tau3^-1*t1^-1', (2, 39): 't1', (0, 39): 't1', (2, 35): 't1^-1', (2, 103): 't3^-1', (1, 93): 't3^-1', (2, 154): 'tau3^-1', (2, 155): 'tau3^-1', (2, 148): 't1', (2, 149): 't1', (2, 150): 't1', (2, 151): 't1', (2, 141): 'tau2', (2, 142): 'tau2', (2, 143): 'tau3^-1*t2', (0, 169): 'tau1', (0, 143): 'tau3^-1', (0, 130): 'tau2', (1, 67): 't2', (2, 128): 't2^-1', (2, 129): 't2^-1', (2, 130): 'tau2*t3', (2, 113): 'tau3*t2^-1', (2, 114): 'tau3*t2^-1', (2, 50): 't1', (1, 41): 't1', (1, 171): 'tau1', (2, 178): 't3*tau2', (2, 51): 't1', (1, 197): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 206): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 207): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 63): 't3', (1, 80): 'tau2^-1', (0, 65): 't2'}