e-mail: a.w.reijersen.van.buuren@hccnet.nl
See 'English Software' for a list with data for balls with radius r.
( r = [ 1 , 16384 ] ( 16384 = 2^14 ).
The numbers represent the amount of points on the ballsurface.
Go to:
English Software
Peculiarities of the formula: X*X + Y*Y + R*R = Z*Z
Pictures with some explanations.
Peculiarities found (until now) in this formula:
Diagram: Number of points on the ball surface with radius r.
There is in this diagram a binary-code.
See for radius 'r' times 2 to the power n ( r's are all uneven numbers here ).
In this case it is calculated up to 2^14 = 16384.
(I'm still working on it.)
Graphic: 'Number of points on the ball surface' 'divided by' 'surface of the ball'.
This graphic shows that there are parts that repeats itself.
From point 9 each part is 12 points long.
A graphic with the points 9 and 9 + n*12 has alomost the same contents.
From point 189 every part is 21*12 point long.
A graphic with the points 189 and 189 + n * 21*12 has alomost the same contents.
From point 3465 every part is 11*21*12 points long.
This graphic doesn't has enough points to see if there are parts that repeats itself.
On the graphic:
Radius: r.
Primenumbers: these are all (more or less) on the curve y = 6 / x.
Uneven numbers: Most of them are above y = 6 / x.
Even numbers: Most of them are under y = 6 / x
Conclusion: I believe that:
All primenumbers are related to inert gases (atoms).
Uneven numbers are related to non-metals (atoms).
Even numbers are realted to metals (atoms).
Bert Rvb.