So you say. How can I know you're not lying even there?
> Only 5 different regular polyhedra forms can exist in euclidean 3D space - this is another fact.
Most people are no more able to verify this statement than statements about 11-dimensional string theory.
If you have their trust, they will belive you, otherwise, not. Regardless of whether it's true.
This goes all the way down. If highly educated and intelligent people are not able to overcome their diffences and clearly state what math and science is saying, including what the error bars are, and for all domains (including climate and sociobiology), people will distrust scentists they see as aligned with the other side.