Differential Geometry and Geometric Structures
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Students' Work: Spherical Loxodromes

Illustration

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 picture illustrates two families of loxodromes. Each family consists of five curves that make the same angle with the meridians.

Created by Michaela Fazekas (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Last modified on February 18th, 2016.