RE: Eulerian angles
- To: mathgroup at smc.vnet.net
- Subject: [mg42688] RE: [mg42668] Eulerian angles
- From: "David Park" <djmp at earthlink.net>
- Date: Mon, 21 Jul 2003 05:15:15 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Since Andrzej mentioned my Rotations application, I decided to put it up at my web site below. It is really a set of notebooks and associated packages that I developed in trying to understand rotations and Euler angles for myself. The notebooks are: 1) 2D rotations and the alias and alibi interpretations. Properties of rotation matrices. 2) 3D rotations about axes in the two interpretations. 3) Euler angles. 4) Some developmental work. The two packages are an ExtendRotations package and a RotationGraphics package. The RotationGraphics package has, among other things, routines for animating various rotation sequences on a book, and displaying side by side animations of two rotation sequences on a book. The package uses the DrawGraphics package, also available at my web site. The ExtendRotations package has a routine for calculating all the Euler angle rotation sequences for a given 3D rotation matrix. There are 12 different rotation sequences, corresponding to the choice of successive rotation axes, and two sets of Euler angles for each sequence. The routine also handles degenerate cases. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Selwyn Hollis [mailto:selwynh at earthlink.net] To: mathgroup at smc.vnet.net Some 5 or 6 years ago, I asked a question in MathGroup about the "Euler angles" that are used by RotateShape. Apparently physicists know all about this stuff, but I still have almost no feeling for what these angles are about. So I thought I'd issue this challenge: Create *the* graphic illustrating the Euler angles that ought to be in the Mathematica Book --- hopefully understandable by a hack mathematician and his calculus students. The winner will receive glowing praise and thanks in a soon-to-be published book. ----- Selwyn Hollis http://www.math.armstrong.edu/faculty/hollis