If my calculations are somewhat right then....
the line YZ is 3.6286464418 by a given edge of 4.19 (which can be calculated more precisely I think)
It means that the line YX = 3.2982904377
But wait a minute....that's the radius of the sphere with volume 150 !!
So ...
with Pi, e and Phi we can construct a point of infinity
and a circle of infinity
which gives a radius of ~3.2982904 in the triangle
which is the radius of the volume of sphere 150
which is related to the sphere with radius 6.90951...
which gives the diameter of 13.81976....
which is my pi*e*phi
which has a relation to DNA
GUESS WHAT.....
this is for me definitely proof that
Pi , e and Phi are related!