# 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.

What if applet does not run? |

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.)

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny

64862666 |