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/sci/ - Science & Math


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7209630 No.7209630 [Reply] [Original]

How come various irrational numbers seem to have such nice and tangible structure to them? For example, something about 7 pi over 3 seems especially pleasing to the eye. Is there anything to it?

>7.330382858376184223079501227652173396460061931875246915608204048718238281334487663465414592464939824

>> No.7209678
File: 78 KB, 832x584, 4859537+_f69aedde0ee8814348b04c2818fcb990.jpg [View same] [iqdb] [saucenao] [google]
7209678

>>7209630
>pleasing numbers

>> No.7209683

aren't irrational numbers completely random in sequence though? otherwise you could simply them symbolically right? any pattern you see might just not be a thing.

>> No.7209702

>>7209683
Who is to say that this "randomness" can't be patterned in some way?

>> No.7209721

Don't you see how nice that 7 pi over 3 is, /sci/? What makes it that nice?

>> No.7209744

>>7209683

>aren't irrational numbers completely random in sequence though?

No? 0.12345678910111213... is irrational.

>> No.7209925

Another pleasing number: 12-8*sqrt(2)
>0.68629150101523960958649020632241537144262499698441541458656209607414017230314368919689972537886742...

>> No.7209932

>>7209744
Here's another non-random irrational number.
0.1101001000100001...

>>7209630
>>7209925
Can you explain to me what you're seeing in these numbers that you like, or at least put some of it into words? I'm not getting it.

>> No.7209934

>>7209932
>Can you explain to me what you're seeing in these numbers that you like, or at least put some of it into words? I'm not getting it.

A U T I S M
U
T
I
S
M

>> No.7209937

>>7209630
It's beyond me how people can convince themselves that a number is pleasing in any arbitrary base, by looking at its digits. Someone needs to construct an algorithm for representing a certain Dedekind cut (using this term so that nobody confuses the idea with being determined by a representation of the cut in an arbitrary base) as a fractal, so that you nubs can sperg over this shit with the fractal stoner crowd. This is not /sci/ related. Sage pls.

>> No.7209994

>>7209937
Why are you this upset when someone finds a number pleasing to the eye?

>> No.7210036

>>7209994
I'm not upset about someone finding a number pleasing or whatever. I'm upset that it's a thread on the Science & Math board.

>> No.7210058

>>7209630
How can you form coherent sentances with autism that extreme?

>> No.7210070

No but seriously, don't you see how soft and mellow the number 7 pi over 3 is? It's fairly devoid of 9's and the 7's just blend in so nicely amidst the abundance of soft digits like the 2's, 3's, 4's and 6's.

>> No.7210088

>>7210036
this
this
this
this
and
this

I'm actually pretty Asperger's (as in actually diagnosed by therapists) and I just do not have the time for this level of autism.

>> No.7210106

>>7210070
You're confirmed plebian. The following is 7/3 pi in base 11, with 'a' being the eleventh numeral.

7.36a8154290660149084a85a06a64a3604890858758873755461612a747060504899808504934993a80a0574935a7a4076a2214a07a2a4685006212553429a19009869a5070778758153419...

This is called numerology, newfriend.

>> No.7210723

>>7210106
Is that pretty by base 11 standards?

>> No.7210737

>>7209630
autism overload

>> No.7210740
File: 54 KB, 479x479, 1429273357417.jpg [View same] [iqdb] [saucenao] [google]
7210740

>>7209630
>posting irrational number as decimals

>> No.7210768

>>7209630
>pleasing irrational numbers
>how does this number make you feel?
>mixing feelings with STEM
>ever
This must be some subtle kind of bait.

>> No.7210944

>>7210740
How else would we see the beauty?

>> No.7210981

>>7210768
Cantor thought Set Theory was literally divine and considered himself something of a prophet.

>> No.7211033

I think you have a condition called autism OP

>> No.7211053

Feelings are subjective so any number can be called pretty or interesting OP, its not strange.

>> No.7211057

>>7210036
This

Unless the number is something like 3.333333... or a regular pattern, the reason why people think they are neat or pretty is autism.

>> No.7211803

175173704764573329223057239494074855392479896894431247/20599679560540169375143053330281528953994048981460288395513847562371\
25200274662394140535591668574044403753719386587319752803845273517967\
49828336003662165255207141222247653925383382925154497596704051270313\
5728999771114671549553673609521629663538567177843900
.0000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000008\
50371017907134305972818977055125603566382966146411242381111111111111\
11111111111111111111111111111111111111111111111111111111111111111111\
11111111111111111111111111111111111111111111111111111111111111111111\
11111111111111111111111111111111111111111111111111196148212901824541\
70839300881662367146774940772575223534922222222222222222222222222222\
22222222222222222222222222222222222222222222222222222222222222222222\
22222222222222222222222222222222222222222222222222222222222222222222\
22222222222222222222222222222222223072593240129356528195041199277347\
82578860518836863346460333333333333333333333333333333333333333333333\
33333333333333333333333333333333333333333333333333333333333333333333\
33333333333333333333333333333333333333333333333333333333333333333333\
33333333333333333341837043512404676393061523103884589368997162994797\
44575714444444444444444444444444444444444444444444444444444444444444\
44444444444444444444444444444444444444444444444444444444444444444444\
44444444444444444444444444444444444444444444444444444444444444444444\
44529481546235157875041726342149957004801082741059085568682555555555\
55555555555555555555555555555555555555555555555555555555555555555555\
55555555555555555555555555555555555555555555555555555555555555555555\
55555555555555555555555555555555555555555555555555555564059265734626\
89861528374532610

>> No.7211825

>>7211803
681159121938521701966797936666666666666666666666666\
66666666666666666666666666666666666666666666666666666666666666666666\
66666666666666666666666666666666666666666666666666666666666666666666\
66666666666666666666666666666666666666751703768457380097263948564372\
17922702330496328130779090477777777777777777777777777777777777777777\
77777777777777777777777777777777777777777777777777777777777777777777\
77777777777777777777777777777777777777777777777777777777777777777777\
77777777777777777777778628148795684912083750596754832903381344160743\
92418902015888888888888888888888888888888888888888888888888888888888\
88888888888888888888888888888888888888888888888888888888888888888888\
88888888888888888888888888888888888888888888888888888888888888888888\
888888973925990679602319486170786594401449245527185503530013127

>> No.7212486

>>7209702
Shut up.

>>7209744
>>7209932
Those don't seem irrational. Can you provide proof?

>> No.7212488

>>7210944
I think <span class="math">\dfrac{7}{3}\pi[/spoiler] looks fine enough without your help.

>> No.7212489

>>7212486
they're infinitely long numbers that are not repeating, so not rational.

>> No.7212799

>>7211803
>>7211825
Explain.

>> No.7212806

>>7209630

No. Its still an irrational number. A number that doesn't follow any particular pattern or trend. Any aesthetics in a repeating irrational number you see is just your mind recognising order (patterns) in disorder.

>> No.7212823

>>7209683
We do not know if pi, e and other irrationals are also normal numbers.

>> No.7212932

>>7210981
...so what?

>> No.7212937

>>7212489
0.11000010000100001... (followed by an infinite number of groups of 4 zeroes and a one) is rational though, it can be expressed as a ratio:

<span class="math">frac{1}{10} + frac{1}{100} + frac{1}{100} cdot frac{1}{99999} = frac{99999}{999990} + frac{99999}{9999900} + frac{1}{9999900} = frac{999990}{9999900} + frac{99999 + 1}{9999900} = frac{999990 + 100000}{9999900} = frac{1999990}{9999900} = frac{199999}{999990}[/spoiler]

>> No.7212940

>>7212937
Forgot the backslashes, it's been a while since I used latex.

<span class="math">\frac{1}{10} + \frac{1}{100} + \frac{1}{100} \cdot \frac{1}{99999} = \frac{99999}{999990} + \frac{99999}{9999900} + \frac{1}{9999900} = \frac{999990}{9999900} + \frac{99999 + 1}{9999900} = \frac{999990 + 100000}{9999900} = \frac{1999990}{9999900} = \frac{199999}{999990}[/spoiler]

>> No.7213135

>>7212799
Other Anon said there were no numbers that could be appealing, aesthetically speaking - just tried to proof him wrong.
Or did you ask for an explanation regarding the number?

>> No.7213151

>>7212799
>175173704764573329223057239494074855392479896894431247 divided by 20599679560540169375143053330281528953994048981460288395513847562371\
25200274662394140535591668574044403753719386587319752803845273517967\
49828336003662165255207141222247653925383382925154497596704051270313\
5728999771114671549553673609521629663538567177843900
is >>>>7211803
continued >>>>7211825

>> No.7213162

>>7212486
For a number to be rational just means that it can be expressed as one integer over another integer

>> No.7213346

>>7212806
>just your mind recognising order (patterns) in disorder.
Are these patterns necessarily mathematically insignificant?

>> No.7213349

>>7213135
>proof him wrong
>proof

Dumb fuck.

>> No.7213358

>>7213135
Explanation regarding the number.

>> No.7214055

What makes the number mentioned in OP's post so different from pi for example? It's such a different composition of decimals.

>> No.7214895

>>7213358
another time, not in this obnoxious thread where anons fuck each other up for no better reason than they just can.
Coud you even work huge numbers up to 10^8 digits?

>> No.7215090

>>7210070

What lack of 9's ??

Distribution in (7*pi)/3

scale= 1982 digits

220x4
220x7
211x8
211x5
204x9
189x6
187x0
186x3
185x2
168x1

>> No.7215149

>>7215090
Well, at least the abundance of the digit 4 is clearly visible from the 100 digit sample in the original post.
Why such an amount of 4's?

>> No.7215189

>>7215149
well, it has nothing to do with (7*pi)/3

21.99/3
7.330000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000

0.00114857512855266923850368295652018938018579562574074682461214615\
47148440034629903962437773948194758750366055929761465296569122668540 divided by 3

equals
0.0003828583761842230795012276521733964600619318752469156082040487182\
382813344876634654145924649398252

which is added together the same as your numberr

the apparent lack of 4s is due to randomness,

also, here*s the inverse of your number
0.1364185226501960020876146543192980246009654106346769560694291520504\
829694007656015058118309425026451

also the last digit of your number should be 5 instead of 4

>> No.7215195

>>7212937
That's not the number he posted.
The number of 0s was increasing with each repition.
0.1101001000100001000001000000...
notice how the number of 0s is increasing

>> No.7215206 [DELETED] 

>>7215195

Sorry, you are mistaken anon.

He said: Well, at least the abundance of the digit 4 is clearly visible from the 100 digit sample in the original post.
Why such an amount of 4's?

That fits only OP's number
7.330382858376184223079501227652173396460061931875246915608204048718238281334487663465414592464939824