Thursday, November 14, 2019

A STEM Project: A Great Dodecahedron Model

A Great Dodecahedron

The convex regular dodecahedron is one of the five regular Platonic solidsThe convex regular dodecahedron has three stellations, all of which are regular star dodecahedra. They are the small stellated dodecahedron, the great dodecahedron. and great stellated dodecahedron. I made the small stellated dodecahedron in the previous post. Here I will be making the great dodecahedron.

This great dodecahedron is transformed into a polyhedron by gluing twenty isosceles triangular pyramids together. A great dodecahedron has 12 faces, 12 vertices and 30 edges.  

Here is an interesting video of the transformation of the dodecahedron into different truncations.

Here is the PDF.  I used 65 lb. cardstock.

Bend the tabs as shown above.

Glue into a triangular pyramid. Repeat for the remaining 19 pieces.

Glue five triangular pyramids together.  Let the glue dry before completing the star.

Complete the star by gluing the last tab. Repeat to make another star.

Glue the two stars together. Add a string if you want to hang the model.  Tape the string to the interior for support and have the string protrude from one of the vertices.

Glue the remaining triangular pyramids onto the model. Keep in mind, each face consists of just five triangular pyramids glued together. I did not take anymore photos because it is easy to see where the next triangular pyramid needs to be placed. 

Completed Great Dodecahedron

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