This is my favorite origami model. It is called the great stellated dodecahedron. You can use the Silhouette paper cutter to cut out 30 four inch squares. Here is a website which gives the origami directions.
It takes a few hours to make but it is well worth the effort
Great Stellated Dodecahedron
Dodecahedron
The dodecahedron above is the basis for the great stellated dodecahedron. Stellated means "star-like". The dodecahedron is transformed into a star-like solid by drawing a line from the center of the pentagon outward into space and meeting at a point. This point is above the original vertex. Three adjacent pentagons create the triangular pyramid shape. There are 20 vertices and 20 triangular pyramids are created. A dodecahedron has 12 faces, 20 vertices and 30 edges. The great stellated dodecahedron has the same attributes as the original dodecahedron.
I have included a .Studio file for the above dodecahedron. I think the model with the tabs on the outside allow tactile students to feel the vertices and edges. Here is the .Studio file.
https://docs.google.com/file/d/0B7oGIyVDbRGYUlhlMkQxNV8ycE0/edit?usp=sharing
#Great Stellated Dodecahedron # Origami
https://docs.google.com/file/d/0B7oGIyVDbRGYUlhlMkQxNV8ycE0/edit?usp=sharing
#Great Stellated Dodecahedron # Origami
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