| Four Intersecting Triangles | |
 ' | |
| Type | Intersecting Structure |
| Rods | 24+3 × 
|
| Spheres | 12 × 
|
| Author | Amafirlian 09:58, 20 May 2007 (UTC) |
Four intersecting triangles.
Building Instructions[]
- Start by creating a cuboctahedron. Notice that it can be seen as consisting of 4 hexagons (2 red and 2 yellow) running along the surface.
- Make sure that the polarity of the rods in each of the hexagons are oriented in the same way!
- Notice that each sphere in the cuboctahedron has two hexagons running thorugh them.
- Now focus on one of the hexagons. Number the rods of that hexagon (in your mind) from 1 to 6.
- Disconnect rods 1 and 2 from the sphere between them. Then reconnect them directly rod to rod on the inside of the other hexagon that is running through that sphere.
- You end up with a pentagon with one side consisting of two rods.
- Repeat this procedure with rods 3 and 4, and with rods 5 and 6.
- You end up with a triangle with sides consisting of two rods.
- Disconnect rods 1 and 2 from the sphere between them. Then reconnect them directly rod to rod on the inside of the other hexagon that is running through that sphere.
- Repeat the procedure of transforming hexagons to a triangles for the other hexagons.
- Optionally fix three rods in a triangle to three of the triangles to fix the spheres in the position of the original cuboctahedron (see photo).
