A Chain of Eight Polyhedra

Can you arrange the shapes in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it?
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These two 3-D shapes, the tetrahedron and the octahedron have the same 2-D shape, an equilateral triangle, as their faces.

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A Chain of Eight Polyhedra

Can you arrange the shapes below in a chain so that each one shares a face (or faces) that are the same shape as the one that follows it? (The faces do not have to be the same size.)

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A Chain of Eight Polyhedra



How many ways can you find to make a loop (a closed chain) using all the shapes so that each one shares a face (or faces) that are the same shape as the one that follows it?