We want to learn about how Tetrahelix can pass though a single Tetrahedron.

We begin by looking at the ways that Tetrahedra can face bond to a single, common Tetrahedron.

Here I show a center Tetrahedron (in red) and 4 surrounding face bond Tetrahedra. These are the first steps to building all the Tetrahelix passing through a common (red) Tetrahedron.

Note that for each of the Tetrahedra added there remains 3 exposed faces. We then add 3 Tetrahedra to of the 4 Tetrahedra.

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