| (0,24,12,0,0,0,8,6)-deltahedron | |
 Wedge-deltified rhombic dodecahedron | |
| Type | Deltahedron |
| Rods | 144 × 
|
| Spheres | 50 × 
|
| Author | Amafirlian 20:13, 2 August 2007 (UTC) |
(0,24,12,0,0,0,8,6)-deltahedron consisting of 12 modules containing 1 sphere of valency 5, and 2 spheres of valency 4, on top of a rhombic dodecahedron. As a result of connecting everything 8 spheres have a valency of 9, and 6 spheres have a valency of 10.
The smallest angle between the rods is about 53.9°, which is quite close to the limit.
Because of the shape of the modules, a fitting name (see also here) is a wedge-deltified rhombic dodecahedron.
It is completely rigid, and highly reminiscent of Alain Lobel's frames.
Building Instructions[]
- Build a rhombic dodecahedron
- Put a module on top of it
- The modules look a bit like an arrow. For each of the 4 groups of 3 rhombic faces, line the 'arrows' up head to tail.
Other views[]
-deltahedron.jpg "(0 24 12 0 0 0 8 6)-deltahedron.jpg (123 KB)")
-deltahedron_b.jpg "(0 24 12 0 0 0 8 6)-deltahedron b.jpg (132 KB)")
Closeup view on the module
-deltahedron_c.jpg "(0 24 12 0 0 0 8 6)-deltahedron c.jpg (129 KB)")
View on one of the 6 spheres of valency 10
-deltahedron_d.jpg "(0 24 12 0 0 0 8 6)-deltahedron d.jpg (128 KB)")
View on one of the 8 spheres of valency 9
-deltahedron_e.jpg "(0 24 12 0 0 0 8 6)-deltahedron e.jpg (132 KB)")
Closeup view on one of the 6 spheres of valency 10