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/sci/ - Science & Math


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2640809 No.2640809 [Reply] [Original]

What's pi in base 11?

Carl Sagan writes about it in fiction but i was just wondering what it looks like..

>> No.2640811

Sorry i should have googled first.

base2: 11.0010010000111111011010101000100...
base3: 10.01021101222201021...
base4: 3.0210033312...
base5: 3.0323221430...
base6: 3.0503300514...
base7: 3.0663651432...
base8: 3.1103755242...
base9: 3.1241881240...
base10: 3.1415926535...
base11: 3.1615070286...
base12: 3.184809493...
base13: 3.1AC104905...
base14: 3.1DA75CDA8...
base15: 3.21CD1DC4...
base16: 3.243F6A8...
base17: 3.26FAG57...
base18: 3.29FDEH0...
base19: 3.2D2398...
base20: 3.2GCEG...

>> No.2640820

I prefer pi in base pi.

>> No.2640841

>>2640820
The circumference of a circle is 20r bitches

>> No.2640843

>>2640820
1?

>> No.2640857

>>2640843
10 you retard

>> No.2640866

Base e
10.10100202000211

>>2640820
Tell me you have source on that, dear god wtf, Base Pi as in 10 = Pi?

>> No.2640896

you should check out base phi if you thought base pi blew your mind. EVERY rational number can be represented as a rational number in base phi, even though it’s an irrational base. ex:
1 φ^0 1
2 φ^1 + φ^−2 10.01
3 φ^2 + φ^−2 100.01
4 φ^2 + φ^0 + φ^−2 101.01
5 φ^3 + φ^−1 + φ^−4 1000.1001

and not only this, but each number can be represented in several ways, since φ^n = φ^n-1 + φ^n-2 which also leads to the beautiful equalities φ + 1 = φ^2 and φ – 1 = 1/φ

>> No.2640919

>http://www.dwheeler.com/essays/bases.html
Base i and multiplicands of it

* "1" has the value of 1
* "11" has the value of i^1+(1), which is i+1.
* "111" has the value of i^2+(i+1), which is i.
* "1111" has the value of i^3+(i), which is 0.
* "11111" has the value of i^4+(0), which is 1.
* "111111" has the value of i^5+(1), which is i+1.

As you can tell, it's cyclic; only four different values can be represented in base i as a single number. You can go further with arithmetic, i.e., four would be written as "1+1+1+1", but certainly the base isn't helping.

>> No.2640984
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2640984

>>2640896
>EVERY rational number can be represented as a rational number in base phi
>rational number can be represented as a rational number

>rational number
>represented as a rational number

>> No.2641001

>>2640984
>try to represent all rational numbers AS rational numbers with base e.. oh fuck can't do it
Make sense now?

>> No.2641014
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2641014

>>2641001

Ahh, an excercise in mathematical futility recounted with grammatically challenged futility. Yep, now it does.

>> No.2641056

>>2640811
So ... what would you use this for?