Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
AntonAntonov`NumberTheoryUtilities`
SunflowerEmbedding  |
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Details and Options
Examples
(3)
Basic Examples
(1)
Get the sunflower embedding for the first 30 positive integers:
In[1]:=
 | SunflowerEmbedding |
Out[1]=
xCos,ySin,x,y,x,y,x2Cos,y2Sin,x,y,x,y,x,y,x2,y2,x3Cos,y3Sin,x,y
2π
2
GoldenRatio
2π
2
GoldenRatio
2
Cos4π
2
GoldenRatio
2
Sin4π
2
GoldenRatio
3
Cos6π
2
GoldenRatio
3
Sin6π
2
GoldenRatio
8π
2
GoldenRatio
8π
2
GoldenRatio
5
Cos10π
2
GoldenRatio
5
Sin10π
2
GoldenRatio
6
Cos12π
2
GoldenRatio
6
Sin12π
2
GoldenRatio
7
Cos14π
2
GoldenRatio
7
Sin14π
2
GoldenRatio
2
Cos16π
2
GoldenRatio
2
Sin16π
2
GoldenRatio
18π
2
GoldenRatio
18π
2
GoldenRatio
10
Cos20π
2
GoldenRatio
10
Sin20π
2
GoldenRatio
Use the second argument to specify groups in the embedding:
In[2]:=
| SunflowerEmbedding |
Out[2]=
xCos,ySin,group0,x,y,group1,x,y,group1,x2Cos,y2Sin,group0,x,y,group1,x,y,group0,x,y,group1,x2,y2,group0,x3Cos,y3Sin,group0,x,y,group0
2π
2
GoldenRatio
2π
2
GoldenRatio
2
Cos4π
2
GoldenRatio
2
Sin4π
2
GoldenRatio
3
Cos6π
2
GoldenRatio
3
Sin6π
2
GoldenRatio
8π
2
GoldenRatio
8π
2
GoldenRatio
5
Cos10π
2
GoldenRatio
5
Sin10π
2
GoldenRatio
6
Cos12π
2
GoldenRatio
6
Sin12π
2
GoldenRatio
7
Cos14π
2
GoldenRatio
7
Sin14π
2
GoldenRatio
2
Cos16π
2
GoldenRatio
2
Sin16π
2
GoldenRatio
18π
2
GoldenRatio
18π
2
GoldenRatio
10
Cos20π
2
GoldenRatio
10
Sin20π
2
GoldenRatio
Scope
(1)
Applications
(1)
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