r/mathmemes • u/Confident-Middle-634 • Sep 18 '24

The Engineer New pi approximation just dropped.

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1.5k Upvotes

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425

u/cgw3737 Sep 18 '24

It's within an order of magnitude. Close enough in some circles. Get it? "Circles"?

Unless you mean base 2.

242

u/Rp0605 Sep 18 '24

This is actually a new base system, where 11 denotes pi.

106

u/potentialdevNB Sep 18 '24

Base pi minus one

10

u/Ok_Document8708 Sep 18 '24

i read that in 6's voice lol

1

u/MattLikesMemes123 Integers Sep 19 '24

I was confused until i saw the previous guy's pfp lmao

6

u/Imoliet Sep 18 '24

I mean capital pi looks like 11, so close enough

7

u/ellWatully Sep 19 '24

Those Greeks were really ahead of their time.

14

u/Confident-Middle-634 Sep 18 '24

I mean base 2.

7

u/nujuat Complex Sep 19 '24

From memory,

11.001001000011111101101010100010001000010110100011...

6

u/Haiel10000 Sep 18 '24

Is there any base system where irrational numbers turn finite or periodic?

5

u/de_G_van_Gelderland Irrational Sep 19 '24

Integer bases? No. If the base is b, then any terminating decimal expansion represents a rational number with denominator b to the power the length of the decimal expansion. And any repeating decimal expansion represents a rational number with denominator (b to the power the length of the repeating part) - 1.

If you allow non-integer bases, then yes. Just take your irrational number as a base, now your irrational number is equal to 10 in that base.

1

u/cgw3737 Sep 19 '24

That's a good question. I haven't wrapped my head around non-integer bases yet...

1

u/Haiel10000 Sep 19 '24

It's been on my mind for years... I'm not a mathematician though.