The digits might be random but the spacings between successive numbers
are constrained unlike for the sequence of primes?

2010/1/8 Aai <[email protected]>:
> 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
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
>



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