| (0,0,12,45)-deltahedron | |
 ' | |
| Type | Deltahedron |
| Rods | 165 × 
|
| Spheres | 57 × 
|
| Author | Amafirlian 13:30, 15 July 2007 (UTC) |
(0,0,12,45)-deltahedron consisting of 2 hexagonal modules (containing 3 spheres connected to 5 rods) at the top and the bottom, and 6 more spheres connected to 5 rods around the middle.
It is completely rigid, and highly reminiscent of Alain Lobel's frames.
It can be easily extended by introducing more layers.
Building Instructions[]
- Create a hexagonal module with 3 spheres connected to 5 rods.
- Add layer after layer with spheres connected to 6 rods.
- Introduce a layer with 3 spheres connected to 5 rods (using the 3-fold symmetry of the structure so far.
- Introduce another layer with 3 spheres connected to 5 rods, so these spheres are separated to the ones in the previous layer by a sphere that is connected to 6 rods.
- Complete the bottom halve (notice that the top and bottom halve are identical).
Other views[]
_deltahedron.jpg "(0 0 12 45) deltahedron.jpg (131 KB)")
_deltahedron_b.jpg "(0 0 12 45) deltahedron b.jpg (133 KB)")
Side view, showing 2 of the 6 spheres connected to 5 rods in the middle of the structure
_deltahedron_c.jpg "(0 0 12 45) deltahedron c.jpg (129 KB)")
Top view on one of the 2 hexagonal modules containing 3 spheres connected to 5 rods