Great Stellated Dodecahedron
Great Stellated Dodecahedron is one of semi-regular solids. First discovered in 1568 by Wenzel Jamnitzer, it was rediscovered by Kepler (and published in his Harmonice Mundi in 1619), and the again by Louis Poinsot (1777-1859) in 1809. It belongs to the class of Kepler-Poinsot solids
The great stellated dodecahedron is beilt on top of a regular icosahedron by attaching a triangular pyramid to very face of the latter. It follows that a great stellated dodecahedron has 32 verices, 90 edges, and 60 faces. Euler's theorem is again quite easy to verify.
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Drag the mouse to rotate the dodecahedron. Use the right button to remove and put back individual faces.
(Acknowledgement: I have learned most of Java details from the implementation by Meiko Rachimow.)
Copyright © 1996-2017 Alexander Bogomolny