Logo by AGUS - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Follow us on Twitter
 
*
Welcome, Guest. Please login or register. December 08, 2022, 10:09:46 AM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: inigo quilez - the main bulb of the Mandelbrot set (analytical)  (Read 582 times)
0 Members and 1 Guest are viewing this topic.
cKleinhuis
Administrator
Fractal Senior
*******
Posts: 7044


formerly known as 'Trifox'


WWW
« on: April 28, 2016, 09:51:28 AM »



inigo has written a nice article about the inner region of the mandelbrot of depth 1 and 2 iterations,
http://iquilezles.org/www/articles/mset_1bulb/mset1bulb.htm

shadertoy
https://www.shadertoy.com/view/4sdXWX
Logged

---

divide and conquer - iterate and rule - chaos is No random!
claude
Fractal Bachius
*
Posts: 563



WWW
« Reply #1 on: April 28, 2016, 01:53:54 PM »

nice!  Here's the complicated result for period 3, mentioned in the article:
http://www.ams.org/journals/proc/1995-123-12/S0002-9939-1995-1301497-3/S0002-9939-1995-1301497-3.pdf
Logged
eiffie
Guest
« Reply #2 on: April 30, 2016, 03:19:04 AM »

Seems to work with mandelbulbs as well. You can use the Qk formula for a bounding radius and the Rk for darkening the interior folds.
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Analytical DE seems to be difficult to pinpoint due to oscillations Videos mrrgu 9 2418 Last post January 12, 2010, 07:56:49 PM
by mrrgu
Calculating the period of a mandelbrot bulb Help & Support aluminumstudios 6 1257 Last post February 19, 2010, 04:18:30 PM
by lkmitch
Inigo Quilez's brute force global illumination Fragmentarium « 1 2 3 » eiffie 35 7271 Last post June 13, 2013, 06:35:05 PM
by vinz
Optimizations for bulbs other than main cardioid and period-1 bulb? Mandelbrot & Julia Set Levi 2 1964 Last post May 24, 2013, 06:37:57 PM
by Levi
I˝igo Quilez - Mandelbulb fractal in my Desk! Fractal News across the World cKleinhuis 0 551 Last post September 19, 2015, 03:20:47 PM
by cKleinhuis

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.16 seconds with 24 queries. (Pretty URLs adds 0.006s, 2q)