The kaleidocycle is a marvelous little mathematical toy.
It is composed of a ring of tetrahedrons (triangular pyramids)
which can be rotated to make it move in a spellbinding way.
Using the programme below you can generate a paper cutout to make your own kaleidocycle. Choose a pattern and print out the PDF to get started. You can also drag and drop patterns that you have created with the app iOrnament into the programme.
In order to create a kaleidocycle you will need to print the PDF with your chosen pattern twice. Then you can start crafting your kaleidocycle, for which you will need scissors, glue, and a little patience. In this video you can see how a kaleidocycle is put together from the paper cutout.