Recommended for you
MakinMagic's avatar
The Honeycomb
By MakinMagic   |   Watch
18 15 18K (1 Today)
Published: November 1, 2009
© 2009 - 2019 MakinMagic
Created using Ultra Fractal.
Image size
1280x960px 397.76 KB
Recommended for you
Comments15
anonymous's avatar
Join the community to add your comment. Already a deviant? Sign In
kuzy62's avatar
kuzy62Hobbyist Digital Artist
That is amazing! :omg:

What formula??? :clap:
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Hi Dan, thanks !

I'm still tweaking the UF formula privately, but as to the mathematical formula it's the White/Nylander as discussed here:

[link]

And the main iterate is:

r = (magn=sqrt(magn))^@mpwr
th = @mpwr*atan2(zri)
ph = @mpwr*asin(zj/magn)
zri = r*(cos(th)*cos(ph) + flip(cos(ph)*sin(th))) + cri
zj = -r*sin(ph) + cj
magn = |zri| + sqr(zj)

Where the initial value of magn is calculated before entry into the loop. For this particular Julia @mpwr was 10.
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
For any mathematicians used to maths notation rather than fractal software notation, you should note that |zri| in the above is x^2+y^2 where zri=(x+i*y) i.e. the square of the magnitude of zri.
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
That smiley should read:
where zri = (x+i*y)
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Thank you.
GeaAusten's avatar
GeaAustenProfessional General Artist
this has to be viewed large.. its amazing !
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Thanks !
winklepickers's avatar
Strong, fascinating forms in a strange world of solidity. :)
I like this.
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Thanks.
Jimpan1973's avatar
Jimpan1973Hobbyist Digital Artist
That is totally awesome!
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Thanks.
boot-cheese-3000's avatar
man this is trippy, the colors and it looks all warped and stuff......
MakinMagic's avatar
MakinMagicHobbyist Digital Artist
Thank you.
boot-cheese-3000's avatar
yeah what was you schmokin' fly guy? :laughing:
anonymous's avatar
Join the community to add your comment. Already a deviant? Sign In
©2019 DeviantArt
All Rights reserved