Great Cubicuboctahedron

 

Great cubicuboctahedron

This model can be made in several combinations of colors. When looking at any cube face, you will see an octagram (8 pointed star) with a square background in a parallel plane. If you make all of your 6 octagrams in a contrasting color (as in the one above) you will need 6 colors to make the model.

When looking at the model from a corner, you will see a large, same-colored triangle in one plane. In the picture below, you can see the green triangle that is made from the 3 edge dimples and the center triangle of one corner dimple.

great-cubicuboctahedron side-side

In the template pattern below, there are two sizes of triangle templates. The smaller triangle is used in the cube corner centers and the larger triangles are used in the two-triangle dimples along the cube edge.

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

Begin with one octagram. To each of its corners attach a four-sided dimple. The three pentagon pieces that make up these dimples will become the corners of the square face that you can see behind the octagram.

great cubicuboctahedron front

The triangle piece that is in the center of these dimples will be one part of a triangular face that can be seen when viewing the cube from its corners. In the picture above, we are looking at a yellow face behind the pink octagram that is made from 4 yellow pentagonal pieces.

In his book, Polyhedron Models, Father Wenninger has listed the colors for each four-piece dimple that forms the corners of the cube. The first color in each string is the center triangle's color. The other colors should be placed around that center triangle in a consistent, clockwise direction.

(1) G Y B O         

(2) R Y O B

(3) G Y B O

(4) R Y O B      

These are only 4 of the corner pieces and of course you will need 8. The order of your corner dimples should become clear to you as you see the same-colored planes and same-colored parallel planes appear in your model. However, the other 4 corners will be enantiomorphs of the 4 corners described above.

The edge dimples (made of two of the larger triangles) will be made in the two colors used to make the smaller triangle pieces. You will place these dimples so that all pieces in that triangle face match the center triangle of each corner.