Re: N-dimensional rotations
- To: mathgroup at smc.vnet.net
- Subject: [mg60061] Re: N-dimensional rotations
- From: Farhat Habib <farhat at hotmail.com>
- Date: Wed, 31 Aug 2005 00:24:55 -0400 (EDT)
- Organization: Ohio State University
- References: <200508170800.EAA24877@smc.vnet.net> <de1302$8n4$1@smc.vnet.net> <200508241031.GAA12065@smc.vnet.net> <dek7ng$a4f$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Pratik Desai wrote: > Farhat Habib wrote: > > >>Pratik Desai wrote: >> >> >> >>>Farhat Habib wrote: >>> >>> >>> >>> >>> >>>>Hi, >>>> >>>>Is there any Mathematica package to compute N-dimensional rotational >>>>matrices? I was planning to write code for it but am just wondering if I >>>>am reinventing the wheel. >>>> >>>>Thanks, >>>> >>>>-F >>>> >>>> >>>> >>>> >>>> >>> >>>Have you looked at the package <<Geometry`Rotations` >>> >>> >>> >> >>Yeah, I did. It seems from the look of it that it only handles 2 or 3 >>dimensional rotations. >> >>-F >> >> >> > > I may be wrong about this, and you must realize that I am just a poor > engineer :) but you can generate any kind of rotations using the Eulers > theoram (the tacit idea being using the three *unique* Euler Angles to > define several rotations and use different permutations of them to get > your desired rotations ) > > http://mathworld.wolfram.com/EulerAngles.html > > Then again, I may be way over my head. > > > Maybe you can look at Quaternions (I actually have infintessimal idea > of how this works). Perhaps the physcists on the forum can elighten us..... > > http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation > > In mathematica it can be implimented using the package > <<Algebra`Quaternions` > > Another good resourse might be David Parks website > > http://home.earthlink.net/~djmp/Mathematica.html > > Where he has some packages that might be useful to you > > Hope this helps or makes any sense > But that still keeps me in 3D. I want to have rotation matrices for, ay, a 7D or 9D space. -F
- References:
- N-dimensional rotations
- From: Farhat Habib <farhat@hotmail.com>
- Re: N-dimensional rotations
- From: Farhat Habib <farhat@hotmail.com>
- N-dimensional rotations