Transforming a Tetrahedron into a Chestahedron

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The chestahedron was discovered by Frank Chester, an American artist and geometrician. It has seven faces of equal size but not of equal shape; therefore it is not a Platonic solid. Four of the faces are equilateral triangles and three are kites that evolve in the transformation process.

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In this Demonstration you can control the transformation and rotate the solid. Three views are provided: (1) the tetrahedron without and (2) with the outer tetrahedron and (3) the chestahedron.

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Contributed by: Hans-Joachim Domke (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

For more details, visit Frank Chester's website. A video sequence of the transformation is available on YouTube.



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