Usually, the color of fractals is determined from the number of iterations calculated before the termination condition. However, if you include the distance of the last two calculation results, you can specify the number with decimal places and achieve a uniform coloration.
This are some color changing rotating spirals, which may look like made out of balloons.
For rendering this on your graphics card only very few lines of code are required.
It is time do some WebGL stuff again. And here it is. Some spiraling spirals with a minimal amount of code.
You can tile the Euclidean Plane with fivefold symmetric tiles.
With the “Revert to“-feature in the Girih App you can easily browse all previously saved versions of your design and if needed revert to another version.
You will find this function in the menu via: File -> Revert to -> Browse All Versions…
You can even share and old design without reverting it.
To create even easier ornaments, than with the laser cutted Girih tiles, I decided to write a specialized App for it.
An App has some advantages to the physical tiles:
Physical tiles tend to move around a bit, when you release your fingers or add another piece.
Loose tiles can not be durable stored as ornament.
The number of physical tiles is limited.
The look and size of physical tiles is fixed.
You can not seamless join physical tiles.
Download the Girih App
Version 2.0 from June 2018.
Requirements: macOS 10.11 El Capitan or newer
This App is completely written in Swift.
As an addition to the standard Girih shapes: Decagon, Pentagon, Hexagon, Bow Tie and Rhombus at added some more shapes.
Not all of the shapes can be combined together without gaps.
So this App is also useful for creating Penrose Patterns or Ornaments from regular Polygons.
I am curious to see, what you create with it. If you tweet about it, tag it with: #Girih
Please let me know what you like about my Girih App and what not.