A SPHERE AS ISOGONAL SURFACE

In the plane given an angle A the A-arc is that part of the circumference of points that “looks at” a given chord with the same angle A. If the A-arc is rotated in space around its associated chord, we get an A-surface. The sphere is a special case of a A-surface of points of space that “look at” the diameter from an angle of 90º.

From where do you have to look at a perspective of a cube with two vanishing points?

Sphere, cylinder & cube

Index

Geodesics in spheres