Logo by Khaotik - 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: Did you know ? you can use LaTex inside Postings on fractalforums.com!
 
Home Help Search Gallery Downloads Login Register
*
Welcome, Guest. Please login or register. April 26, 2024, 12:38:40 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!


Welcome to Fractal Forums > Real World Examples & Fractical Applications > Fractal News across the World > inigo quilez - the main bulb of the Mandelbrot set (analytical)
Pages: [1]   Go Down
« previous next »
  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 1200 times)
0 Members and 2 Guests 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
« previous next »
  Print  
« previous next »
 
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 3753 Last post January 12, 2010, 07:56:49 PM
by mrrgu
Calculating the period of a mandelbrot bulb Help & Support aluminumstudios 6 1460 Last post February 19, 2010, 04:18:30 PM
by lkmitch
Inigo Quilez's brute force global illumination Fragmentarium « 1 2 3 » eiffie 35 9471 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 2934 Last post May 24, 2013, 06:37:57 PM
by Levi
Iñigo Quilez - Mandelbulb fractal in my Desk! Fractal News across the World cKleinhuis 0 1243 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 0.128 seconds with 24 queries. (Pretty URLs adds 0.006s, 2q)