Vertex-Sharing 5-Fold Cluster

A cluster of 20 regular tetrahedra, sharing one vertex, leaving small gaps between adjacent faces. By twisting each tetrahedron along an axis that goes through the sharing vertex and the centroid of the outer face, the gaps between the faces can be closed, while resulting in a pentagonal cone at the vertices. The twisting angle here is V5 and the resulting relative face angle is F5.

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