

Hi,
Francois LE COAT writes:
>> Here is a part of Mandelbrot fractal set in 3D with my software:
>>
>>
>> In Eureka 2.12 the function is julia(x0.1562+i*(y+1.0323),0)
>> of distances algorithm. The function julia(z,z') corresponds to
>> the Mandelbrot set when z varies, and Julia when z' varies.
>>
>> Here is a part of Julia fractal subset in 3D with my software:
>>
>>
>> In Eureka 2.12 the function is julia(0.82+i*0.18,y*exp(i*x))
>> plotted in [PI/2,PI/2][0,PI/2] The 3D is obtained with the
>> approximation of distances algorithm. The function julia(z,z')
>> corresponds to the Mandelbrot set when z varies, and Julia when
>> z' varies.
>>
>> The surfaces were exported from Eureka 2.12 in 3D ".TRI" format and
>> transformed into a POVRay script with `tri2pov.ttp`. The same move
>> around the surface is performed, with rotations of one degree. This
>> is an illustration of the export possibilities of Eureka 2.12 =)
>>
>> I wish you will appreciate...
>
> Here is corresponding Julia and Mandelbrot fractal sets with
> Mathematica software, in the attached "fractal.gif" picture.
>
> The Mandelbrot set is the same, except the colormap. But for
> the Julia subset, I draw julia(0.82+i*0.18,y*exp(i*x)) with
> my software, and Mathematica draws julia(0.82+i*0.18,x+i*y).
>
> I don't know if there is this kind of transform in Mathematica?
>
> Maybe someone of you all, can help?...
>
> Merry Christmas.
Here is a video from Julia subset drawn with my Eureka 2.12 soft:
<https://www.youtube.com/watch?v=uA20AhHiKc4>
It is using the ARAnyM GNU/GPL ATARI virtual machine under macOS.
Happy New Year.
Best regards,

Author of Eureka 2.12 (2D Graph Describer, 3D Modeller)
http://eureka.atari.org/
Post a reply to this message
Attachments:
Download 'fractal.gif' (100 KB)
Preview of image 'fractal.gif'

