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(0,0,12,42)-deltahedron
(0 0 12 42) deltahedron.jpg
'
Type Deltahedron
Rods 156 × Geomag rod icon.gif
Spheres 54 × Geomag ball icon.gif
Author Amafirlian 14:16, 21 July 2007 (UTC)


(0,0,12,42)-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 very similar to the (0,0,12,45)-deltahedron. The main difference is that the spheres connected to 5 rods around the middle are separated.

It is completely rigid, and highly reminiscent of Alain Lobel's frames.

It can be easily extended by introducing more layers.

Building Instructions[]

  1. Create a hexagonal module with 3 spheres connected to 5 rods.
  2. Add layer after layer with spheres connected to 6 rods.
  3. Introduce a layer with 3 spheres connected to 5 rods (using the 3-fold symmetry of the structure so far.
  4. 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.
  5. Complete the bottom halve (notice that the top and bottom halve are identical).


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