Cinderella Blog - Fractals

Wire Cables / Drahtseile

heker@web.de (Wolf-Dieter Heker) — Tue, 20 Oct 2009 00:04:19 +0200

Please enable Java for an interactive construction (with Cinderella).
On the righthand side, this construction shows several commercially available variants of cable wires.
The large drawing is a cable wire that can be modified by moving the sliders (the lowest, K, is for the outermost level).
You can construct wire cables with up to 4 levels.

The drawing is done by a small script, using recursive functions.
The cables look similar to fractals, although the cable construction can use different multipiers on each level.

Be careful with the top sliders. You might end up by drawing 61*37*37*37 ~= 3 million circles.

MandelbrotCycle4.cdy

richter@cinderella.de (Jürgen Richter-Gebert) — Sun, 27 May 2007 14:26:48 +0200

This is the famous Mandelbrot set.
Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.

Iterating the function z_i+1=z_i²+c.
The values of c for which this process does not tend to infinity is the mandelbrot set.

You can either move the point c directly or finetune the position with the key 'd', 'f', 'r' and 'c'.

Farn.cdy

richter@cinderella.de (Jürgen Richter-Gebert) — Fri, 23 Mar 2007 21:34:46 +0100

Bitte schalten Sie Java ein, um eine Cinderella-Konstruktion zu sehen.
A fern generated by an iterated function system.
You can move the red points to change the form
of the fern.