Consider the following projection of a dodecahedron:
An equilateral triangle can be projected to make points $A, B, C, D, E, F$ intersect with it's edges. What would be the mathematical proof (if any) for saying:
Lines $AB$, $CD$ and $EF$ exactly overlay/intersect with the edges of the triangle
This is a more focused question in order to hopefully get some more traction on this question: Mathematical properties of two dimensional projection of three dimensional rotated object