Platonic Solid Study #2: Octahedron

Understanding the geometry of octahedron.  An octahedron is formed by 8 identical faces of equilateral triangle. Basically it is composed of 2 pyramids.  To create it in Revit, I made two extrusion from a base square, one up  and one down.  The upper extrusion was then cut by a void sweep from the base path with an upper triangle profile.  Similarly the lower extrusion was cut by another void sweep below the base square.

Parameters and Math

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