Monday Origami Prompt: How to Make a Kaleidocycle with Paper

A kaleidocycle, also known as a flextangle, is a flexible polyhedron! Let’s learn how to make this mind-bending origami.

(1) Print out the template, and gather scissors, markers, and tape.
(2) Before folding, draw or paint the paper to make it unique!
(3) Make your Kaleidocycle move using origami folding techniques.
(4) Take a picture or video and share it with us!


    • Template

    • Markers

    • Scissors

    • Tape

    • 30+ minutes

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Make It Your Own:

    • Turn your kaleidocycle into... a mobile for babies, jewelry, an alien's UFO, or something else!

    • What other materials could you create a kaleidocycle with?

    • Make another kaleidocycle. Experiment with drawing or painting a pattern that creates an optical illusion while you move your kaleidocycle.

    • Do you know the math behind Kaleidocycles? What other amazing creations could you create using 3D shapes and polygons?

    • Invent and design a relative to Pikachu that has even greater powers to battle with!

    • Fidget spinners were created to help people and children with ADHD who have trouble focusing. How could you design your kaleidocycle in a similar way? How can your kaleidoscope help with focusing?

    • Make your kaleidocycle glow. Add LEDs INSIDE of your kaleidocycle to light it up from within!

    • Using scratch coding, how can you code a geometric pattern that resembles the kaleidocycle?

    • You've just discovered that your kaleidocycle is actually an alien from another planet! What planet is it from? Study it to see how it interacts on Earth. Look at it under a microscope or magnifying glass. Write or draw your notes in a science journal.

    • How could this unique, mind-bending design be used to build... a house or apartment building? A car? A wheel? A rocket ship?