A new kind of fractal? • Hacker News Board

Re: A new kind of fractal?

#41

Post by anthonyb » Tue, Oct 16, 2012, 11:14 PM UTC

pnathan wrote: post #39

alexkus wrote: post #34

Earlier quoted context omitted.

OK, for a less abstract description, the site gives: "For each complex number c calculate the following: For all gaussian integers g like 1+1i, 2+2i, 3+3i... when calculating g/c which percentage results in a gaussian integer again? The higher the percentage, the lighter the pixel." So, Imagine you have: c = a+bi g = x+xi Division by complex numbers is simplified with a trick of multiplying both numerator and divisor…

jc-denton replied, but appears to be hellbanned. His reply looks like this: --- Humm tried to implement it simply using std::complex but it does not give me meaningful results. What did I do wrong? template void CalcRealPercentage( const complex from, const complex to, const int intervalSize, std::vector & intensityMap ){ auto height = to.imag() - from.imag(); auto width = to.real() - from.real(); assert(intervalSize…

Seems to be after this comment: https://news.ycombinator.com/item?id=3468011

Not sure why he was hellbanned and not Zed after that little exchange.

Re: A new kind of fractal?

#42

Post by mikecane » Wed, Oct 17, 2012, 12:01 AM UTC

I have nothing mathematical to add here. Just want to say when I voted for this item this morning I waited and waited for others to vote, then I had to leave the PC for several hours. Before that, I kept looking at that image and hoping others would vote for it and I'd see some Comments. Thanks for voting for it and all these Comments!

Re: A new kind of fractal?

#43

Post by jlgreco » Wed, Oct 17, 2012, 1:49 AM UTC

anthonyb wrote: post #41

pnathan wrote: post #39

Earlier quoted context omitted.

jc-denton replied, but appears to be hellbanned. His reply looks like this: --- Humm tried to implement it simply using std::complex but it does not give me meaningful results. What did I do wrong? template void CalcRealPercentage( const complex from, const complex to, const int intervalSize, std::vector & intensityMap ){ auto height = to.imag() - from.imag(); auto width = to.real() - from.real(); assert(intervalSize…

Seems to be after this comment: https://news.ycombinator.com/item?id=3468011 Not sure why he was hellbanned and not Zed after that little exchange.

Because readers of hacker news, as objective and spock-like as they like to think they are, really can't help but reverse-ad hominen when they vote. People are right because of who they are, not what they said. At the very least the bias appears as a benefit of the doubt.

PG should have, instead of removing vote totals, removed usernames. But of course that would get in the way of the ego stroking..

(I am of course no exception)

Re: A new kind of fractal?

#44

Post by dmboyd » Wed, Oct 17, 2012, 5:06 AM UTC

My attempt using matlab(octave) to generate a 100x100 version of the image (using his function description):

https://gist.github.com/3903785

Hadn't figured out if there is a way of vectorising it further. Would appreciate any tips if anyone has any.

Re: A new kind of fractal?

#45

Post by Sami_Lehtinen » Wed, Oct 17, 2012, 6:59 AM UTC

gnosis wrote: post #6

Archive: http://www.gibney.de.nyud.net/does_anybody_know_this_fractal

nyud.net doesn't really archive anything. https://en.wikipedia.org/wiki/Coral_cache

Re: A new kind of fractal?

#46

Post by dmboyd » Wed, Oct 17, 2012, 7:42 AM UTC

dmboyd wrote: post #44

My attempt using matlab(octave) to generate a 100x100 version of the image (using his function description): https://gist.github.com/3903785 Hadn't figured out if there is a way of vectorising it further. Would appreciate any tips if anyone has any.

I've managed to hack it into a semi-vectorised implementation which works up to 700x700 before it runs out of memory.

http://i.imgur.com/xzgXW.png

Re: A new kind of fractal?

#47

Post by [deleted] » Wed, Oct 17, 2012, 8:53 AM UTC

dmboyd wrote: post #46

dmboyd wrote: post #44

My attempt using matlab(octave) to generate a 100x100 version of the image (using his function description): https://gist.github.com/3903785 Hadn't figured out if there is a way of vectorising it further. Would appreciate any tips if anyone has any.

I've managed to hack it into a semi-vectorised implementation which works up to 700x700 before it runs out of memory. http://i.imgur.com/xzgXW.png

[deleted]

Re: A new kind of fractal?

#48

Post by no_gravity » Wed, Oct 17, 2012, 8:55 AM UTC

dmboyd wrote: post #46

dmboyd wrote: post #44

My attempt using matlab(octave) to generate a 100x100 version of the image (using his function description): https://gist.github.com/3903785 Hadn't figured out if there is a way of vectorising it further. Would appreciate any tips if anyone has any.

I've managed to hack it into a semi-vectorised implementation which works up to 700x700 before it runs out of memory. http://i.imgur.com/xzgXW.png

Interesting! You dont have the squares. This is a hint that the squares in my version are due to floating point limitations.

Re: A new kind of fractal?

#49

Post by [deleted] » Wed, Oct 17, 2012, 9:30 AM UTC

bramcohen wrote: post #25

From my sketchy understanding of your description of the algorithm, it seems like a 2d version of the patterns in gaps you see when you look at cornrows.

[deleted]

Re: A new kind of fractal?

#50

Post by dmboyd » Wed, Oct 17, 2012, 10:28 AM UTC

no_gravity wrote: post #48

dmboyd wrote: post #46

Earlier quoted context omitted.

I've managed to hack it into a semi-vectorised implementation which works up to 700x700 before it runs out of memory. http://i.imgur.com/xzgXW.png

Interesting! You dont have the squares. This is a hint that the squares in my version are due to floating point limitations.

It's probably a combination of floating point errors adding up.