I was looking at the standard FE theory and thinking about how the sun only lights up parts of the earth at a time.  And I've heard this theory described as the lighthouse theory, and I was wondering if it would make sense for the sun to be conical, with light shining out of the flat circular part, and it would pivot around the tip to shine light on different parts of the world.  And it would explain why the sun appears circular, because we only see the circular part.  And with this in mind, it would allow us to wonder if different so-called planets are different shapes and we only see a circular face due to geometry.

Thoughts?  Has anyone considered alternate shapes of the planets and the planar earth?