Hi Rayman - some faces can't be constructed with Construct / Planar because although they touch end to end, they are not all flat in a plane.
For example, these 5 lines here:
When viewed from the front view look like this (dashed construction line added to show what would be a straight edge):
So even though things touch end to end everywhere, this is not actually a polyhedron shape since the faces are not flat.
It is actually harder than what it seems to construct an accurate polyhedron - I'd actually recommend doing it by drawing a pentagon flat on the plane and then using Transform / Rotate / Rotate axis to swing it up by the exact amount needed, I'll try to cook up some steps to demonstrate.
- Michael
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