The Equilateral Triangle's 60 Degree Property Is Only Guaranteed in the Plane

The equilateral triangle's 60 degree property is only guaranteed in the plane. In other settings, such as on the globe, equilateral triangles can be constructed from right angles. To make this concrete, we can imagine a right angled child lying on the side at the North Pole with heads pointing south to Greenwich and feet pointing south to New Orleans. At some point, six triangular children would have been scattered in this exact configuration. And presumably this scenario, I mean, we've been on this planet many thousands years that must have happened at some point.