How to use GeoGebra to slice a Regular Tetrahedron by Helicoid Cut

Ronald Yannone shared this question 6 days ago
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George Hart developed a puzzle where he used a Helicoid cut of a regular tetrahedron

to cut from one edge of the tetrahedron over to the opposite edge in 1.25 revolutions of the helicoid and got 2 identical pieces that when separated made a tough puzzle to put back together again because of the "screwing" procedure to put the pieces back. I want to know the GeoGebra statements and 3D plot to do this.

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