Great Dodecahedron

 

great dodecahedron

This model is made of 20 dimples and uses 6 different colors. There are 60 faces to be cut.

To see the full-sized template click on this image:   great dodecahedron template

In his book, Polyhedron Models, Father Wenninger gives this description of the dimples that you must make;

(1) Y W G          (6) G O Y

(2) B W Y          (7) Y R B

(3) O W B         (8) B G O

(4) R W O         (9) O Y R

(5) G W R        (10) R B G

Create a dimple with the colors of (1) ... Y W G .

You must be consistent in how you order the colors in your dimple!

All of your dimples in this first half of the polyhedron must be ordered in the same direction.

Arrange the 3 faces in a clockwise manner as they are viewed from the top looking into the dimple. The yellow face might be at the 12 o'clock position, the white face in the 4 o'clock position and finally the green face in the 8 o'clock position. Glue these pieces together to make one of the 20 dimples that you will need.

On the tab of the second face (in this case the white face) mark the number of this dimple ... in this case # 1.

Create your first 5 dimples in this manner. Glue the faces together in a clockwise arrangement and number each dimples on the tab of the second color.

Now arrange those first 5 dimples in a clockwise manner according to their numbers. Put the second face of each dimple (where the dimple is numbered) on the outside of this grouping. You will now have a set of 5 dimples arranged in a circle with a central conjunction. When glued, this grouping should look like a large pentagonal white face with a star shaped cookie sitting on its top.

Now create the next 5 dimples in the list above and attach those dimples again in a clockwise manner. This time allow the the numbered face to be facing towards the center of your first conjoining. Attach the numbered face of dimple #6 to the numbered face of dimple #1. You should now be able to see the beginnings of 5 more large, same-colored pentagonal faces.

Given that you will be watching the background, same-coloredness appear as you add new dimples, placements for the rest of the polyhedron should be apparent.

The last 10 dimples of this polyhedron use the same color arrangement as the first 10 dimples that are listed above ... but they should be assembled in a counter-clockwise manner. You should number them as you did the first 10 dimples on the tab of the second face in the list. However, this time number them 1R, 2R, etcetera to remind yourself that these are arranged in the reverse order of the first 10 dimples. To continue your polyhedron you will attach dimple 10R next. Then attach 9R, 8R, etcetera.

If the placement of a piece is not apparent, consider whether you have created your dimples all in that same clockwise or, for the second half of the polyhedron, counter-clockwise direction.

As your polyhedron becomes more complete, you should be able to discern the same-colored pentagonal face that are in parallel planes with each other. As you turn your polyhedron new same-colored pentagonal planes will appear.