First have a look at:

Kaleidoscope - Create kaleidoscopic images in spherical, Euclidic and hyperbolic space.

Kaleidoscope with quadrilaterals - Create hyperbolic and fractal tilings using reflections at the sides of quadrilaterals.

Kaleidoscope with a circle in a triangle - Create fractal tilings using reflections at two straight lines and two or three circles.

Wallpapers from waves - Create quasiperiodic and periodic wallpapers using symmetric wave packages.

If you want to know more:

Bridges 2018 - A short interactive presentation.

"Kaleidoscopes for Non-Euclidean Space" - A paper which explains in detail how the kaleidoscope app generates the images.

My blog - A rambling discussion about geometry and programming, including kaleidoscopes. Look at the posts of early 2018.

Code repository - Has the code of the Kaleidoscope app and more.


Peter Stampfli, Rue de Lausanne 1, 1580 Avenches, Switzerland