The giant tetrahedron
The vertices of this giant regular tetrahedron are reinforced rhombitruncated cuboctahedra. Its edges are «tubes» made of 10 square antiprisms, and the model is built to scale 12.82, being 1 the normal, 6-rod, 4-ball tetrahedron.
The similarity with the normal model can be stretched a little more: in the same way as a Geomag tetrahedron can be filled with four balls, our giant tetrahedron can be filled with four giant balls:
The inner balls are normal, non-reinforced rhombitruncated cuboctahedra. Their orientation is identical to the balls at the tetrahedron vertices, as if we simply had removed the intermediate tubes. Hence, they are joined by square faces.
However, the similarity is not perfect. The inner balls do not touch the edges, there are small gaps:
And the lower edges of the tetrahedron cannot hold them, they require their own support: