WOLFRAM|DEMONSTRATIONS PROJECT

On the Fundamental Theorem of Phyllotaxis

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parastichies 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
parastichies 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
number of elements / GCD
100
pointiness
0.01
GCD =
1
, divergence =
222.493
, divergence × GCD =
anglediv[1.,1.]
, rotational symmetry C
1
Jean's fundamental theorem of phyllotaxis describes the relationship between the numbers of observed spirals in cylindrical lattices and the horizontal angle between successive vertical spots in the lattice.
In this Demonstration the divergence is calculated solely by the visible opposed parastichy (spiral line) pairs.