Jan 8, 2023
Self-similar tetrahedra packing with 4 smaller tetrahedra and 1 octahedron
That was my contemplation some months ago:
Today I started a trashy/bad-quality prototype 3D model with paper - and it appears like a first step for a proof to my contemplation:
- 4 tetrahedra with side length of 3 cm
- 1 tetrahedron with side length of 6 cm
- 1 octahedron with side length of 3cm
-> the 4 small tetrahedra and the octahedron packed together fill the large tetrahedron - wonderfully packed 3D space. There are no gaps. (A better quality model might depict it better than this trashy model. )
Next step: I will craft a better quality 3D model.