Differential Geometry and Geometric Structures
Main Page | Staff | Hans Havlicek | Visualisation | Spherical Loxodromes

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 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.

Change Image

first previous 239/249 next last

Archimedean Solids
Confocal Quadrics
Dupin Cyclides
Elliptic Linear Congruence
Geodesics on a Cone
Helices on a Helicoid
Hyperosculating Spheres
Impossible Objects
Klein Bottle
Menger Sponge
Möbius Tetrahedra
Pascal's Pyramid
Pipe Surfaces
Planar Sections of a Torus
Platonic Solids
Prince Rupert's Cube
Saddle Surfaces
Schwarz Lanterns
Spherical Loxodromes
Stationary Points
Striction Curves

Quick Links


External Links


Copyright © 1996-2016 by Differential Geometry and Geometric Structures. All rights reserved.
Last modified on February 18th, 2016.