## Saturday, November 16, 2019

### A STEM Project: A Great Stellated Dodecahedron Model

A Great Stellated Dodecahedron

A convex regular icosahedron is the foundation for making this great stellated dodecahedron.  Stellated means "star-like".  The icosahedron is transformed into a star-like polyhedron by attaching twenty isosceles triangular pyramids. A great stellated dodecahedron has 12 faces, 20 vertices and 30 edges.

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 a previous post. https://papercraftetc.blogspot.com/2019/11/a-stem-project-small-stellated.html  and the great dodecahedron in a previous post. https://papercraftetc.blogspot.com/2019/11/a-stem-project-great-dodecahedron.html Here I will be making the great stellated dodecahedron.

This video depicts the transformation from a dodecahedron to other stellations.

Please note, this model requires patience in gluing.  It is not hard to put it together but drying time is crucial. I used Aleene's Fast Grab Tacky glue.

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

Here is the .Studio file.

Fold the perforations on the icosahedron.

Glue the tabs to form the icosahedron.

Fold the perforations of the isoceles triangular pyramid. Apply glue on the left side which looks like a triangle.

Adhere into a pyramid shape.  Repeat to make 18 more isosceles triangular pyramids.

I folded the tabs of the base as shown so that they would lay flat for gluing.

Glue the isosceles triangular pyramid to the icosahedron. In this photo, I am showing the amount of glue that I applied to the icosahedron and a picture of the glue that I used.

Tape a string in the middle of the last triangular pyramid.  This will allow you to hang up the model. Apply glue on the triangle tab and make sure that the string protrudes from the top at the apex of the pyramid.

Completed Great Stellated Dodecahedron