Generating VonKoch fractals
The VonKoch LPE (named after the Swedish mathematician Helge Von Koch) creates a fractal pattern out of the object it is applied to by repeating it in a scaled form and positioning it according to control paths available in this LPE. In this recipe we will create a simple pattern using the VonKoch LPE.
How to do it...
The following steps will show how to create VonKoch fractals:
1. Select the Ellipse tool (F5 or E) and create a wide ellipse at the page center.
2. Open the Path Effect Editor by using Shift + Ctrl + 7 or by going to Path | Path Effect Editor....
3. Under Apply new effect, choose VonKoch and press the Add button. Notice the two additional ellipses beneath the original one.
4. Create an angled guide by dragging with the mouse out of the top-left corner of the ruler on to the Canvas. Change the guide angle to 60° by double-clicking on it to get a pop-up and position it so it touches the original ellipse's right edge.
5. Press the Generating path button...