Not fractal but funny; general torus knots DE routine

[visual.bermarte]

Eiffie's vid. 
<a href="http://www.youtube.com/v/tHJJrxdH-Oo&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/tHJJrxdH-Oo&rel=1&fs=1&hd=1</a>

[DarkBeam]

Hooray, more labyrintic knotty knots

[Jesse]

I have no solution for these knots, polluting here everything...

[bib]

I have no solution for these knots, polluting here everything...

fractal macaroni

[DarkBeam]

Hey, don't offend, spaghetti not macaroni

 

[knighty]

MY GOD wooow, you are a true genius Knighty!!!

Yep! 

I was thinking about doing an iterated minimum of radiuses but I failed as always! Brilliant brilliant!

You finally succeeded Luca!... at bringing spaghetti into MB3D. It tastes good. 

Thank you Visual for the videos. Very nice!

BTW! It should be possible to compute the "rotation" parameter in my 2nd script. It is the periodicity of the knot counted in "number of turns" (In 2*PI units). I think it is:

LCM(L/GCD(M,L),L/GCD(N,L))

LCM: Least common multiple
GCD: Greatest common divisor
L,M and N are as defined in the knots formula:

X(t)= cos(2*PI*t)*(3+cos(2*PI*M/L*t))
Y(t)= sin(2*PI*t)*(3+cos(2*PI*M/L*t))
Z(t)= sin(2*PI*N/L*t)

but I'm not sure. Could anybody confirm?

[bib]

Hey, don't offend, spaghetti not macaroni

 

Here is your spaghetti box =>

[DarkBeam]

Woow, very cool! You used many iterations, so it's very dense

[Alef]

Could this be used to show "Generalized Poincaré conjecture"?

The generalized Poincaré conjecture states that Every simply connected, closed n-manifold is homeomorphic to the n-sphere. Every n-dimensional knot can therefore be stretched into a trivial n-sphere.

Just trying to convince in which dirrection to move. In Russia he is pretty famous http://en.wikipedia.org/wiki/Grigori_Perelman as he probably are last genius in Russia.

[DarkBeam]

I don't know at all

[Alef]

Realy I'm not shure what it is, too. Be he was offered a million for that.

This reminded me picture of Hemoglobine, which is made something like of knots: