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Hi,

I am confused by the following diagram when I try to understand it in terms of

What I currently understand is as follows:

Let the finite length of the straight orange line be X>0.

The rest of the non-straight orange lines (in this particular case, the non-straight orange lines have forms of different degrees of Koch fractal) are actually the same line with finite length X>0, such that its end points are projected upon itself, and as a result we get the convergent series 2*(a+b+c+d+...) .

Each one of the non-straight lines is constructed by 4

By using

2*(a+b+c+d+...) (which is the result of the projection of a finite length X>0 upon itself) is equal to X only if a projected non-straight line somehow collapsed into length 0.

This is definitely not the case in the diagram above (there are

So, I still do not understand how X-2*(a+b+c+d+...)=0 by Real-analysis.

Can I get some help?

I am confused by the following diagram when I try to understand it in terms of

*limit*as done by Real-analysis:What I currently understand is as follows:

Let the finite length of the straight orange line be X>0.

The rest of the non-straight orange lines (in this particular case, the non-straight orange lines have forms of different degrees of Koch fractal) are actually the same line with finite length X>0, such that its end points are projected upon itself, and as a result we get the convergent series 2*(a+b+c+d+...) .

Each one of the non-straight lines is constructed by 4

^{n}straight parts, where*n*is some natural number and the length of each part is X/4^{n}, so given any arbitrary non-straight line, it has a*finite amount*of parts ( X=(X/4^{n})*4^{n}).By using

*limit*as done by Real-analysis X-2*(a+b+c+d+...)=0, but 2*(a+b+c+d+...) is the projected result of*finite amount*of non-straight lines, where each one of them has the same finite length, which is X>0 (as observed above).2*(a+b+c+d+...) (which is the result of the projection of a finite length X>0 upon itself) is equal to X only if a projected non-straight line somehow collapsed into length 0.

This is definitely not the case in the diagram above (there are

*finitely many*non-straight lines, where each one of them has the same finite length X>0).So, I still do not understand how X-2*(a+b+c+d+...)=0 by Real-analysis.

Can I get some help?

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