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Length of torus loop?

POSTED BY: Sandor Kabai
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POSTED BY: Roland Franzius
POSTED BY: Henrik Schachner

I dream of finding correlation between ratio of lengths and the ratio of elctron energy levels.
POSTED BY: Sandor Kabai

I dream of finding correlation between ratio of lengths and the ratio of elctron energy levels.

Sounds interesting - could you be more specific?
POSTED BY: Henrik Schachner

Hi Sandor,

The differential length function of the loop is 

D[ loop[u,n] ],u]

The length differential is

( (#.#)^(1/2) &) [  D[ loop[u,n] ],u]  ]  ==  (  ( 209 + 8 Cos[  n u] + Cos[2 n u])/2) ^(1/2)

This function is periodic with jumps by the winding length for a single loop.

Regards Roland
POSTED BY: Roland Franzius

I dream of finding correlation between ratio of lengths and the ratio of elctron energy levels.
POSTED BY: Sandor Kabai
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