U-tiling: UQC3043
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2277 |
*2244 |
(2,6,6) |
{5,4} |
{4.4.3.8.4}{3.4.4.4} |
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
|
False
|
|
sqc11938
|
|
P42/mmc |
131 |
tetragonal |
{4,5} |
24 |
(2,6) |
|
G
|
False
|
|
sqc11943
|
|
I-42d |
122 |
tetragonal |
{4,5,5} |
24 |
(3,7) |
|
D
|
False
|
|
sqc6820
|
|
P-42m |
111 |
tetragonal |
{4,5} |
12 |
(2,6) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.4.3.8.4}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.1:224:15 16 5 6 21 22 121 122 95 96 41 42 19 20 135 136 109 110 55 56 57 58 33 34 63 64 149 150 53 54 71 72 47 48 77 78 163 164 61 62 177 178 81 82 97 98 75 76 191 192 111 112 99 100 89 90 105 106 205 206 103 104 219 220 127 128 117 118 133 134 207 208 153 154 131 132 221 222 167 168 169 170 145 146 175 176 165 166 183 184 159 160 189 190 173 174 193 194 209 210 187 188 223 224 211 212 201 202 217 218 215 216,29 3 32 7 14 9 11 13 43 17 46 21 28 23 25 27 31 35 42 37 39 41 45 49 56 51 53 55 85 59 88 63 70 65 67 69 99 73 102 77 84 79 81 83 87 91 98 93 95 97 101 105 112 107 109 111 141 115 144 119 126 121 123 125 155 129 158 133 140 135 137 139 143 147 154 149 151 153 157 161 168 163 165 167 197 171 200 175 182 177 179 181 211 185 214 189 196 191 193 195 199 203 210 205 207 209 213 217 224 219 221 223,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224:4 4 3 4 4 8 3 4 4 4 4 4 4 3 4 3 4 4 4 4 3 8 3 4 4 3 3 4,4 5 4 5 5 5 4 5 4 5 5 5 4 5 4 5 5 5 4 5 4 5 5 5> {(1, 98): 't3^-1*tau2^-1*t3^-1', (0, 167): 'tau3^-1', (0, 222): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 188): 't3*tau2*t1^-1', (1, 213): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 223): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 136): 't1^-1*tau2*t3', (1, 112): 't2', (0, 43): 't1*tau2^-1*t3^-1', (1, 168): 'tau1', (1, 42): 't1', (0, 55): 't1', (1, 101): 't3^-1*tau2^-1*t3^-1', (0, 109): 't3^-1*tau2^-1*t1', (1, 157): 'tau3^-1', (0, 182): 't3*tau2*t1^-1', (0, 24): 't1^-1*tau2*t3', (1, 126): 'tau3', (0, 68): 't3', (1, 84): 't3^-1', (0, 26): 't1^-1', (0, 48): 't1*tau2^-1*t3^-1', (0, 189): 't3*tau2*t1^-1', (0, 166): 'tau3^-1', (0, 83): 't3*tau2*t3', (0, 137): 't1^-1*tau2*t3', (1, 45): 't1', (0, 183): 't3*tau2*t1^-1', (1, 87): 't3^-1', (0, 180): 'tau1', (0, 97): 't3^-1', (0, 42): 't1*tau2^-1*t3^-1', (1, 210): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 115): 't2', (0, 153): 't2^-1', (1, 199): 'tau1^-1', (0, 124): 't2', (0, 110): 't3^-1*tau2^-1*t3^-1', (0, 181): 'tau1', (0, 49): 't1*tau2^-1*t3^-1', }