Welcome to Fractal Forums

Hi - just thought I'd join - I'm David Makin, user of Ultrafractal including writing the "MMF" formulas (and author of MMFrac though I don't recommend MMFrac unless you really need a DOS fractal program).
My main website is website.lineone.net/~dave_makin/
I'm now 44 and have been fractalling since April 1999 when I found Fractint.
I'm currently investigating the possibilities of Julia Sets from areas of strange attraction - they give a whole new perspective on "inside" colouring.
The formula I'm currently concentrating on is "Attractors" from mmf4.ufm in the Ultrafractal Formula Datbase formulas.ultrafractal.com
My dayjob is computer programming (games & apps) but I hope to move to fractals/fractal art full-time in the future.

Hello David...I know your work from Renderosity..I love it.
I am glad you joined!

Titia

Hey there, David !!    Welcome to this particular Forum !!    (Won't that be 44-1/2 by next week??  ;) )

Have you decided to use the UFBeta group on GoogleGroups for your Quat/Hyper/Julibrot 3D/4D formulas you are working on??
 

Welcome to the forums David!

Welcome dear David,

Pleas help us with our discussion about the construction of the 3D Mandelbrot set.

Jules Ruis.

Welcome D.M.!

Thanks Titia - I like what I've seen of your work too :-)

Yes, but I over-estimated how much free time I'd have - it may be a few weeks before I get chance to work on it again - if all else fails I'll be using the Xmas holdiays.

Thanks Jason - and thanks for the forum !

Hi Jules, my fractal maths is still limited so "academic" exploration is not really my speciality - in any case which 3D Mandelbrot did you have in mind - the Julibrot/s or quaternionic or hypercomplex or octonionic...... ?

Thanks Eric.

Each of these approaches which leads to Mandelbrots with bulbs on all axes are welcome.

Jules Ruis.

I don't know of a numeric system whereby standard "a^2+b" will produce bulbs on all axes in the manner I think you mean :(

Of course with the Julibrot the "bulbs" are extended into 3D tiubes and so are more than simply rotations of the 2D bulbs and with the hypercomplex the "tubes" produced are again not aligned with a main axis.

It's probably possible using other "main formulas" but it isn't something I've looked for specifically.

An idea that springs to mind is to try a quaternionic formula such as q^2+fn(q)+c where fn(q) is a rotational transformation switching round the axes of q - or using q^2+c but applying x axis->y-axis on one iteration, y-axis->z-axis on the next and z-axis->x-axis on the next then applying no transform then repeating the 4 stages (I mean flipping the axes of q around prior to applying q^2+c).

heya david, i've been impressed by your technical posts around the forums and am particularly keen to see what you come up with using those modified quat-julia iterations!

i've added you to my watch list on deviantart - hope to see more great work there too :)

Thanks - but don't put too much store in my maths since it's 22 years rusty and all the fractal stuff is acquired non-academically - my programming is a different matter even though that was also self-acquired  ;D

Thanks for watching - it's greatly appreciated !

Hello David!

Welcome to the forum.

As i read your comments about generation of a 3d Mandelbrot, i see a chance that it can be
achieved ;-)

Here is what i had in mind :

http://www.fractalforums.com/index.php?topic=156.0

Welcome