Logo by Sockratease - Contribute your own Logo!


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: Check out the originating "3d Mandelbulb" thread here
Welcome, Guest. Please login or register. July 03, 2020, 07:32:53 PM

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
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: Interpolating Functions formula  (Read 1161 times)
0 Members and 1 Guest are viewing this topic.
Fractal Lover
Posts: 238

« on: July 07, 2014, 06:40:55 AM »

Last month, I attended the International Fractal Art Symposium, where Christian Kleinhuis gave a talk on hybrid fractals--either alternating or interpolating functions each iteration.  Since I already have an alternating functions formula in the UF formula database, I decided to write an interpolating functions formula.  You can find it in lkm3.ufm and there are some sample parameter sets in lkm3.upr.  The attached image is one example, interpolating between 2 Newtons functions, 2 Mandelbrot, and 2 Julia on each iteration.

* 2014-07-06-g.jpg (125.91 KB, 600x300 - viewed 260 times.)
Fractal Senior
Posts: 7044

formerly known as 'Trifox'

« Reply #1 on: July 07, 2014, 09:04:18 AM »

good work! the coloring works in that picture nicely!


divide and conquer - iterate and rule - chaos is No random!
Posts: 62

Making Mandelbrots from Newtons for years

hugh.myers.75 hughsmyers
« Reply #2 on: April 16, 2017, 04:58:50 PM »

I've a friend working in comparative isolation with homegrown software who has begun his journey into hybirdizationŚI've pointed him here as an excellent example!

Without tradition, art is a flock of sheep without a shepherd. Without innovation, it is a corpse. --- W. Churchill
Pages: [1]   Go Down
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Hyperchaotic functions (new) Theories & Research Charleswehner 3 1012 Last post December 12, 2006, 04:06:41 PM
by gandreas
Interpolating video General Discussion paolo 2 1701 Last post January 21, 2011, 06:40:57 AM
by jehovajah
Wave functions Non-Fractal related Chit-Chat Jameses 3 904 Last post January 21, 2011, 02:05:37 AM
by Jameses
Hybrid Interpolating Fractal Images Showcase (Rate My Fractal) lkmitch 0 556 Last post July 07, 2014, 06:44:43 AM
by lkmitch
High-performance GLSL noise functions Fragmentarium Patryk Kizny 1 3603 Last post October 15, 2015, 12:30:42 AM
by DarkBeam

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 0.121 seconds with 29 queries. (Pretty URLs adds 0.01s, 2q)