We also can start with pi, e and phi out of 1 point.
Then we get a circle of infinity around the triangle.
This circle has a radius of about 2.4
(by the way: 2.39971234978453 to the 3-power = 13.81903 !)
phi is an algebraic number, pi an e not.
Look at the drawing:
phi does not cross the inner circle;
pi and e do !
What does it mean?
I don't know.