Date: Apr 7, 2013 8:24 AM
Author: KBH
Subject: Re: Is there any webpage or math program that can write fracitons,<br> numbers into bijective enumeration?


> But then:
>
> 0, 2/3, 1/3, 2/9, 1/9, 2/27, 1/27, 2/81, 1/81, ...
>
> and
>
> 0, -2/3, -1/3, -2/9, -1/9, -2/27, -1/27, -2/81, -1/81, ...
>
> I'll attempt a graphical number line representation:
>
> 1 2 10 20 100 200 1000 2000 0 -2000 -1000 -200 -100 -20 -10 -2 -1



It works like this:

3/3, 2/3, 1/3, 2/9, 1/9, 2/27, 1/27, 2/81, 1/81, ...

and

-3/3, -2/3, -1/3, -2/9, -1/9, -2/27, -1/27, -2/81, -1/81, ...

but

3/3 and -3/3 are the same point on the number line.

So it's

1 2 10 20 100 200 1000 2000 3000 and -3000 -2000 -1000 -200 -100 -20
-10 -2 -1 .

Prevously

1 -> 3/3 -> 3000 -> 10000 .

So this point has to make it's own rule.