Great Stellated Dodecahedron
This model is made of triangular pyramids that have Golden triangles as their faces. You will need six colors to create this model.
In his book, Polyhedron Models, Father Wenninger gives this description of the pyramids that you must make;
(1) Y G B (6) W G B
(2) B Y O (7) W Y O
(3) O B R (8) W B R
(4) R O G (9) W O G
(5) G R Y (10) W R Y
Create a small pyramid with the colors of pyramid (1) ... Y G B.
You must be consistent in how you order the colors in your pyramid!
All of your pyramids in this first half of the polyhedron must be ordered in the same direction.
Let's arrange our 3 faces in a clockwise placement as they are viewed from the top. The yellow face might be at the 12 o'clock position, the green face would then be at the 4 o'clock position and finally the blue face would be in the 8 o'clock position. Glue these pieces together to make one of the stellations on the icosahedron.
Make sure that you have severely trimmed the tabs near the top of this point in order to not have paper bunching up inside of the point.
On the tab of the first face (in this case the yellow face) mark the number of this pyramid ... in this case # 1.
Create your first 5 icosahedral points in this manner. Glue the faces together in a clockwise placement and number the pyramids on the tab of the first color in the list.
Now arrange the first 5 points in a clockwise position according to their number. Put the first face in each pyramid (where the pyramid is numbered) on the outside of this grouping. You will now have a set of 5 points arranged in a circle, like the petals of a flower with a central conjunction. The outside edges of this flower will form a pentagon.
Attach the next 5 points of this polyhedron in a clockwise manner. This time allow the first face in each point (the numbered face) to be facing towards the center of your first conjoining. Attach the first face of point 6 to the first face of point 1.
You now have one-half of the polyhedron created. For the second half, make those first 5 points again only this time arrange the faces of each point in a counter clockwise order. Label the tab of the first face of each point in some slightly new way ... maybe 1R, to mean 1 reverse.
When you look at your polyhedra, you should now be able to see that the point faces that are in the same plane are the same color. This observation will help guide you through the placement of your next 5 stellations.
The next point that you should place will be the reverse of point 6. It will fit near the clockwise point 6. You will now be able to observe that faces of the same color are in the same plane and in parallel planes.
Now place points 5, 4, 3, etcetera in their appropriate positions. You will still be placing points onto the polyhedra in a clockwise order but the numbers on your points will be placed in descending order.
As you look at your creation from any direction you should be able to see clusters of 5 points together forming a central joint.
You can also make this polyhedron using only one color. You can use the template below and not need to glue together so many pieces. Just make 12 of these pieces.