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Topic: NyaN fractions and partitioning of Naturals into other NyaN bases
then ternary.

Replies: 13   Last Post: Mar 16, 2013 5:36 AM

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JT

Posts: 1,150
Registered: 4/7/12
Re: NyaN fractions and partitioning of Naturals into other NyaN bases
then ternary.

Posted: Mar 15, 2013 12:27 PM
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On 15 mar, 17:04, JT <jonas.thornv...@gmail.com> wrote:
> Is there name for fractions when partitioned into other bases then
> decimal, in decimal base they are of course decimals but what do you
> call them in binary, octal, hexa and so on?
>
> Evidently transfer principle either did not understand how NyaN works
> or mocking me and i have no clue as to why.
> But below is fractions as written in NyaN bases it have some
> aestatichal symmetry that 0 based bases lacks.
>
> Binary         1=.2   1/2=.1     2/2=.2   1/4=.(1)1     2/4=. (1)2 ...
> ->...
> Ternary       1=.3    1/3=.1     2/3=.2   1/9=.(1)1     2/9=.(1)2
>  ->             1/27=.(2)1      2/27=.(2)2     1/81=.(3)1      2/81=.
> (3)2
> Quaternary  1=.4    1/4=.1     2/4=.2   1/16=.(1)1   2/16=.(1)2
> -> ...
> Quinary       1=.5    1/5=.1     2/5=.2   1/25=.(1)1   2/25=.(1)2
> -> ...
> Senary        1=.6    1/6=.1     2/6=.2   1/36=.(1)1   2/36=. 1)2
> -> ...
> Septenary   1=.7     1/7=.1     2/7=.2   1/49=.(1)1   2/49=.(1)2
> ->...
> Octal          1=.8     1/8=.1     2/8=.2   1/64=.(1)1   2/64=.(1)2
> ->...
> Nonary        1=.9     1/9=.1     2/9=.2   1/81=.(1)1   2/81=.(1)2
> ->...
> Decimal       1=.A    1/10=.1   2/10=.2  1/100=.(1)1  2/100=.(1)2
>
> Feel free to fill in the blanks it is alot easier then standard
> numbers systems.


Another thing i always wondered why is radians used and not fractions
to describe angles, i mean the unit circle has one turn?




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