Edge Sharing 3-Fold Cluster

From the emergence theory object library files...

This is a cluster of 3 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, resulting in a pentagonal cone at the vertices. The twisting angle here is E3 and the resulting relative face angle is F3.

In this video we are rotating the structure around in Mathematica, viewing it from various angles, and changing the rotation angle as well as the transparency of the tetrahedra.

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