• June 21, 2021, 12:03:30 AM

Login with username, password and session length

Author Topic:  Magnetobulb  (Read 374 times)

0 Members and 1 Guest are viewing this topic.

Offline 3DickUlus

  • Administrator
  • *******
  • Posts: 2278
    • Digilantism
Magnetobulb
« on: October 21, 2020, 02:49:40 AM »
It's been a while since I've had time to play, these are the results from my recent Thanks Giving coding binge, presented here as thanks to everyone (too many to list)

Triplex math: http://bugman123.com/Hypercomplex/

Magnet Type I    zn+1 = [ (zn^2 + c-1) / (2zn + c-2) ]^2
Magnet Type II    zn+1 = [ (zn^3 + 3(c-1)zn + (c-1)(c-2)) / (3zn^2 + 3(c-2)zn + (c-1)(c-2) + 1) ]^2

From the original formulas changed c-1 and c-2 to c-m1 and c-m2 and added m1 and m2 vec3 slider widgets.
Also changed  the central / to * , from divide to multiply because I couldn't get anything nice looking out of the formulas using divide.

so ... on to some pics, frag code attached here.







...more to come ;)

Linkback: https://fractalforums.org/index.php?topic=3824.0

Offline FractalAlex

  • Perturbation formula helper
  • Fractal Frankfurter
  • *
  • Posts: 587
  • One step closer to victory
Re: Magnetobulb
« Reply #1 on: October 21, 2020, 11:55:57 AM »
The third image looks like a bowl of ice cream! It looks delicious!

Offline claude

  • 3f
  • ******
  • Posts: 1916
    • mathr.co.uk
Re: Magnetobulb
« Reply #2 on: October 21, 2020, 12:34:28 PM »
With divide the formulas have convergent parts so a different escape test and DE is needed...

Offline gerson

  • Fractal Frankfurter
  • *
  • Posts: 639
Re: Magnetobulb
« Reply #3 on: October 21, 2020, 08:33:59 PM »
FractalAlex has the reason, summer times.

Offline 3DickUlus

  • Administrator
  • *******
  • Posts: 2278
    • Digilantism
Re: Magnetobulb
« Reply #4 on: October 22, 2020, 01:24:08 AM »
@claude yes, edit: see my earlier post...https://fractalforums.org/code-snippets-fragments/74/magneto-bulb-triplex-inverted-de/3514
 so I did my best to make it work nicely with the existing support frags, non-mathematical layman's terms "inside out and upside down", I suppose it's not the magnet formula any more :-/

...here's the rest of the images from the fragment presets...








« Last Edit: October 22, 2020, 05:50:04 AM by 3DickUlus »

Offline timemit

  • Fractal Friar
  • *
  • Posts: 139
    • timemit@DeiantArt
Re: Magnetobulb
« Reply #5 on: October 24, 2020, 12:49:37 PM »
Will have a gander tonight, thanks as ever, looks tasty :)

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #6 on: October 24, 2020, 07:56:00 PM »
Can't wait till I can get my hands on these!  :gallery:
To thine own self be true

Offline 3DickUlus

  • Administrator
  • *******
  • Posts: 2278
    • Digilantism
Re: Magnetobulb
« Reply #7 on: October 24, 2020, 08:47:46 PM »
All of these have been rendered with the default raytracer, object iterations set at 8(ish), renders surprisingly fast.  :)

Offline mclarekin

  • 3c
  • ***
  • Posts: 870
Re: Magnetobulb
« Reply #8 on: October 26, 2020, 07:12:46 AM »
the second from top in first post is really interesting :thumbs: :thumbs: :thumbs:

Offline 3DickUlus

  • Administrator
  • *******
  • Posts: 2278
    • Digilantism
Re: Magnetobulb
« Reply #9 on: October 27, 2020, 01:27:40 AM »
yeah, that one is my fav too  8) lots of variety in this one.

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #10 on: October 28, 2020, 10:10:59 AM »
Very cool code, thank you for sharing, Dick! :thumbs:

A few minutes playtime yields something nice already :cookie:
« Last Edit: October 28, 2020, 10:48:48 AM by Sabine62 »

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #11 on: October 28, 2020, 01:10:11 PM »
two more and then I'll stop  ;D

Just wanted to show two old acquaintances in there ;)

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #12 on: October 28, 2020, 01:11:10 PM »
Such a nice formula to hunt in  :yes:

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #13 on: October 28, 2020, 01:18:43 PM »
...and a little tip: you can speed up rendering times by testing how low you can go with MaxRaySteps on the Raytracer-tab

Offline Sabine62

  • Moderator
  • ******
  • Posts: 1225
  • It's just a jump to the left...
    • sabine62.deviantart.com
Re: Magnetobulb
« Reply #14 on: October 28, 2020, 08:27:29 PM »
 :aww: Thanks a lot, Klazien, but I know it mustn't in this thread ;)
But I may post one in the gallery later on  :wave: