The Yoshimoto Cube is an interesting mathematical toy based on the magic folding cube. An animation can be found at

The cube illustrated on the web page, is commercially made but is not, as far as I can tell, available in the UK. It can be purchased for a total charge of $90.62 from the Museum of Modern Art (Moma) Gift shop. and search for Yoshimoto Cube.

A method of construction of a paper model is given in the video

A lovely presentation using the Yoshimoto Cube is given in the video

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