Differential Geometry and Geometric Structures
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Students' Work: Spherical Loxodromes


A spherical loxodrome (or rhumb line) is a curve that crosses all meridians of the geographical coordinate system under a constant angle other than π/2. It is therefore an isogonal trajectory of the meridians. All loxodromes on the sphere have the form of a double spiral that winds around the north and the south pole an infinite number of times. The image shows a single loxodrome on the sphere.

Created by Katharina Kausel (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Last modified on February 18th, 2016.