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.

If you are reading this, your browser is not set to run Java applets. Try IE11 or Safari and declare the site as trusted in the Java setup.

Great Stellated Dodecahedron

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.)

Related material

  • Right Pentagonal Prism
  • Square Pyramid
  • Right Triangular Prism
  • Twisted Triangular Prism
  • Tetrahedron: an Interactive Model
  • Octahedron: an Interactive Model
  • Cube: an Interactive Model
  • Icosahedron: an Interactive Model
  • Dodecahedron: an Interactive Model
  • Three Pyramids are Better Than Two
  • Cube In Octahedron
  • Octahedron In Cube
  • Octahedron In Tetrahedron
  • Tetrahedron In Cube
  • Icosahedron In Cube
  • Lennes' Polyhedron
  • Triangulated Dinosaur
  • Volumes of Two Pyramids
  • Császár Polyhedron 1
  • Császár Polyhedron 4
  • Szilassi Polyhedron
  • Dissection of a Square Pyramid
  • |Activities| |Contact| |Front page| |Contents| |Geometry|

    Copyright © 1996-2018 Alexander Bogomolny