Even more aside - the distribution of digits in more pi-digits
4 420385
9 420195
7 419913
8 419653
5 419436
2 419161
1 419153
3 419095
0 418901
6 418413
shist hist rl pi
1 2 3 4 5 6 7
3397892 339941 33732 3345 332 40 8
Interesting that in 4194305 digits 4 is considerably favored over 6...
The run lengths are interesting too 40 similar to Feynman's 6 digit
one ( http://en.wikipedia.org/wiki/Feynman_point ) and 8 that are 7
digits.
At 18:14 +0100 2010/01/08, Aai wrote:
>Probably a better idea is, as the author did, to compare e.g. with
>pi-digits.
>
>I obtained ~ 1.25 million digits of pi from:
>http://www.gutenberg.org/etext/50
>
>freq of the digits:
> ({.,#) /. ~ ds
>1 125083
>4 125372
>5 125880
>9 125689
>2 125594
>6 124796
>3 125792
>8 125376
>7 125452
>0 125505
>
>fairly uniform distribution.
>
>And then apply:
>
>dr=: 0 0, 0 1, 0 _1, 1 0, _1 0, 0 0, 0 0, 0 0, 0 0,: 0 0
>d=. ({.,#)/.~+/\ ds { dr
>'gx gy '=. >: >./ XY=.(2{."1 d) -"1 {.~&2 <./ d
>
>
>Here's the alien: a very different picture.
>
> viewmat (2{"1 d) (<"1 XY) } 0$~ gx, gy
>
> # ds
>1254539
> gx,gy
>1196 906
>
>
>
>
>> For a start: replace
>> 11|p: i.y
>> with
>> 1 + y ?...@#10
>> in primenebulaP
>>
>>
>>
>> Ik schreef op 08-01-10 13:38:
>>
>>> Did already think along the same line. Time to start an experiment. :-)
>>>
>>> The author of the idea suggested it is. He showed also examples on the
>>> website of purely random nature:
>>> http://yoyo.cc.monash.edu.au/~bunyip/primes/random.html
>>>
>>>
>>>
>>> Hallo Matthew Brand, je schreef op 08-01-10 13:27:
>>>
>>>
>>>> Is there anything special about primes in all of this or will other
>>>> sequences of increasing integers with random spacing produce similar
>>>> pictures?
>>>>
>>>> 2010/1/8 Aai <[email protected]>:
>>>>
>>>>
>>>>
>>>>> @ Devon and Viktor
>>>>>
>>>>> The dr I use was not a mistake. Experimenting with dr pointed me in this
>>>>> direction for obtaining a square picture.
>>>>> I also tried other values for prime 11 and concluded it being a good
>>>>> (the best?) choice for a pretty nebula-like picure.
>>>>>
>>>>> I also tried some x |. dr . That showed me that my original dr produces
>>>>> the nicest picture (i.e for me).
>>>>>
>>>>> --
>>>>> Met vriendelijke groet,
>>>>> =@@i
>>>>>
>>>>> ----------------------------------------------------------------------
>>>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>>>
>>>>>
>>>>>
>>>>>
>>>>
>>>>
>>>>
>>>
>>>
>>
>
>--
>Met vriendelijke groet,
>=@@i
>
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