Copyright (C) 2004-2005 dondalah@ripco.com (Dondalah)
The mathematics for xdome is based on Hugh Kenner's book below. This book was out of print for a long time, so I started to write the xdome programs to give you the mathematics contained in his book.
Hugh Kenner, 1923-2003
Geodesic Math and How To Use It
Berkeley: University of California Press, 1976
Reprinted in October, 2003.
ISBN: 0-520-23931-8. Paperback.
Peter Duffett-Smith
Practical astronomy with your calculator
3rd Edition
Cambridge University Press, 1979, 1988
ISBN 0-521-35629-6 hardback
ISBN 0-521-35699-7 paperback
Section 28, Equatorial to Eliptic Coordinate Conversion
Section 31, Generalised Coordinate Transformations
Table 4, Matrix Conversions, Conversion C in Section 31, shows the prototype matrix for rotating a geodesic sphere.
The Debian program, called dome, is another program available in Linux for geodesic domes.
The xdome suite of programs provides a different graphics interface than dome. Dome has an interface for the Povray graphics engine. If you are looking for a 3D image of a dome with light source, shading, and solid surfaces, then you will want to use the dome program and the Povray graphics engine.
The newest version of dome also gives you the data for a geodesic parabolic dish.