3 ms·
It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for explorin
by crntaylor 14y ago
It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for exploring it further.
- deleted 14y ago[deleted]
- no_gravity 14y agoWow, HN front page! Ok, will describe the algorithm. One moment...
- no_gravity 14y agoOk, I have put a description of the algorithm above the comment section.
- Nursie 14y agoCool, how high up the gaussian integers do you go to get that sort of detail?
- no_gravity 14y agoFor the first image up to 100+100i. Please be aware, that I only use gaussian integers of the form x+xi where the real and imaginary part are the same. Im not sure if that is clear from my description. If there is demand, I can put up the source. Its Javascript.
- rsiqueira 14y agoyes please, put the javascript source.
- Aardwolf 14y agoHow do you calculate that percentage, do you brute force it or do you have a formula that estimates or exactly gives the percentage? Also, do you allow the result of the division to be near a gaussian integer, or do you do an exact floating point equals?
- no_gravity 14y agoI brute force it up to n sample points. For the first image n was 100. Yes, I allow the result to be near a gaussian integer. For the first image I counted everything as a gaussian integer where (real%1<0.1 && imaginary%1<0.1)
- dfc 14y agoYou have the 4000x4000 file with a jpg suffix but it is actually a png? I ran the image through pngcrush and it decreased the file size by 50%. You might want to do the same and save on bandwidth / page loading... $ du -sh fractal* 14M fractal-optim.png 27M fractal.png
- no_gravity 14y agoYou are right! I had a png and a jpg version and uploaded the wrong one. Now the jpg is up. Thank you!