Small Ditrigonal Icosidodecahedron

 

small ditrigonal icosidodecahedron

This model can be made in 6 colors. Use one color for the 12 pentagrams and 5 colors for the 30 dimples each made from two equilateral triangles.

To see the full-sized template click on this image: small ditrigonal icosidodecahedron template

Notice that faces of triangles that are in the same plane and around the intersection of 3 pentagrams have the same colored faces. In the picture above, you can see a light blue triangle facing slightly upward and to the left. You can also see a lavender triangle facing slightly downward and to the left.

This polyhedron is slightly difficult to make because the pentagram arms are very flexible and the star faces can easily become distorted. By using a thicker paper for your pentagrams or by reinforcing your pentagrams with a second layer of paper, you can avoid this problem.

Begin with one pentagram. Surround the pentagram with 10 triangles that are arranged in this way and according to the color list below.

color arrangement for small ditrigonal icosidodecahedron

pentagram number
01
23
45
67
89
1
GY
RG
OR
BO
YB
2
GB
OG
GO
RG
BR
3
YO
RY
YR
GY
OG
4
BR
GB
BG
YB
RY
5
OG
YO
OY
BO
GB
6
RY
BR
RB
OR
YO

To position your second pentagram to the growing polyhedron, you will notice that there is an RG dimple in pentagram #1 and also in pentagram #2. Do not make two RG dimples. This one dimple will be shared by pentagram #1 and pentagram #2. This fact also helps you understand how to place pentagram #2 to pentagram #1.

In the same way, pentagram #3 shares the GY dimple with pentagram #1 and should be attached in that place.

After you have glued these 6 pentagrams and their dimples, the next 6 pentagrams and dimples should be easy to visualize. You should attach 6 more pentagrams and make the triangular dimples the colors that will complete the emerging triangular faces.