Also were talking spheroid surface distances aka geodesics here. So unless three places lie on a great circle their distances are not cummutative, since they form a geodesic triangle.
Re:Going beyond the Golden Ratio
by numbergeek666 on Tuesday March 12, 2019 @07:58AM
(#19367279)
Google Earth Engine's geometry constructors build geodesic geometries by default
https://developers.google.com/earth-engine/geometries_planar...
A geodesic is a locally length-minimizing curve. Equivalently, it is a path that a particle which is not accelerating would follow. In the plane, the geodesics are straight lines. On the sphere, the geodesics are great circles (like the equator). The geodesics in a space depend on the Riemannian metric, which affects the notions of distance and acceleration
By adding these, you get that the distance from Angkor Wat to Nazca is 4754 (1+φ) miles.
But φ is defined such that 1+φ = φ², [Verify for yourself that 1.61803398875² = 2.61803398875]
So thus, the distance from Ankor Wat to Nazca can also be described as 4754 φ² miles.