Edge-Sharing 5-Fold Cluster

A cluster of 5 regular tetrahedra, sharing one edge, leaving small gaps between adjacent faces. By twisting each tetrahedron along an axis that goes through the mid-point of the sharing edge and the mid-point of the outer edge, the gaps between the faces can be closed, while resulting in a pentagonal cone at the vertices. The twisting angle here is E5 and the resulting relative face angle is F5.

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