U-tiling: UQC2803
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2161 |
*2244 |
(2,6,5) |
{4,5} |
{8.4.3.8}{3.4.4.4.4} |
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
|
|
sqc11151
|
|
P42/mmc |
131 |
tetragonal |
{4,4} |
24 |
(2,6) |
|
G
|
False
|
|
sqc11369
|
|
I-42d |
122 |
tetragonal |
{5,4,4} |
24 |
(3,7) |
|
D
|
False
|
|
sqc5773
|
|
P-42m |
111 |
tetragonal |
{4,5} |
12 |
(2,6) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {8.4.3.8}{3.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.1:208:105 15 16 6 7 21 22 36 37 90 91 118 19 20 49 50 103 104 131 54 55 32 33 60 61 51 52 144 67 68 45 46 73 74 157 58 59 88 89 77 78 170 71 72 101 102 183 93 94 84 85 99 100 196 97 98 119 120 110 111 125 126 140 141 194 195 123 124 153 154 207 208 158 159 136 137 164 165 155 156 171 172 149 150 177 178 162 163 192 193 181 182 175 176 205 206 197 198 188 189 203 204 201 202,2 4 83 8 13 10 12 15 17 96 21 26 23 25 28 30 44 34 39 36 38 41 43 47 52 49 51 54 56 70 60 65 62 64 67 69 73 78 75 77 80 82 86 91 88 90 93 95 99 104 101 103 106 108 187 112 117 114 116 119 121 200 125 130 127 129 132 134 148 138 143 140 142 145 147 151 156 153 155 158 160 174 164 169 166 168 171 173 177 182 179 181 184 186 190 195 192 194 197 199 203 208 205 207,79 3 5 7 9 11 13 92 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 183 107 109 111 113 115 117 196 120 122 124 126 128 130 144 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208:4 4 3 8 8 3 4 4 3 4 4 3 4 4 4 3 8 8 3 4 3 4 3 4,5 4 5 4 5 4 4 5 4 4 4 4 5 4 5 4 5 4 4 5 4 4 4 4> {(0, 179): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 41): 't1*tau2^-1*t3^-1', (0, 139): 't2^-1', (0, 62): 't3', (0, 129): 't1^-1*tau2*t3', (0, 140): 't2^-1', (0, 100): 't3^-1*tau2^-1*t3^-1', (1, 95): 't3^-1*tau2^-1*t1', (0, 48): 't1', (0, 166): 'tau1', (0, 191): 'tau1^-1', (0, 170): 't3*tau2*t1^-1', (0, 101): 't3^-1*tau2^-1*t3^-1', (0, 46): 't1*tau2^-1*t3^-1', (0, 49): 't1', (2, 117): 't1^-1*tau2*t3', (1, 121): 't1^-1*tau2*t3', (0, 176): 't3*tau2*t1^-1', (0, 126): 'tau3', (0, 171): 't3*tau2*t1^-1', (0, 47): 't1*tau2^-1*t3^-1', (0, 24): 't1^-1*tau2*t3', (0, 61): 't3', (0, 178): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 127): 'tau3', (0, 40): 't1*tau2^-1*t3^-1', (2, 13): 't1^-1*tau2*t3', (0, 128): 't1^-1*tau2*t3', (0, 177): 't3*tau2*t1^-1', (0, 25): 't1^-1*tau2*t3', }