Re: Rotating a list of 3D point coordinates in one shot

*To*: mathgroup at smc.vnet.net*Subject*: [mg100025] Re: [mg100016] Rotating a list of 3D point coordinates in one shot*From*: "David Park" <djmpark at comcast.net>*Date*: Fri, 22 May 2009 01:43:33 -0400 (EDT)*References*: <2931846.1242881174127.JavaMail.root@n11>

You could use: RotationTransform[180 Degree, {-1, -2, -1}] /@ list Although RotationTransform does not have the attribute Listable, it still appears to behave as if it does. list // RotationTransform[180 Degree, {-1, -2, -1}] David Park djmpark at comcast.net http://home.comcast.net/~djmpark/ From: Bill [mailto:WDWNORWALK at aol.com] Hi: I have a list of 3D coordinates: list={{1., 0., 0.}, {0.987688, 0.156434, 0.}, {0.951057, 0.309017, 0.}, {0.891007, 0.45399, 0.}, {0.809017, 0.587785, 0.}, {0.707107, 0.707107, 0.}, {0.587785,0.809017, 0.}, {0.45399, 0.891007, 0.}, {0.309017, 0.951057, 0.}, {0.156434, 0.987688, 0.}, {0., 1., 0.}, {-0.156434, 0.987688, 0.}, {-0.309017, 0.951057, 0.}, {-0.45399, 0.891007, 0.}, {-0.587785, 0.809017, 0.}, {-0.707107, 0.707107, 0.}, {-0.809017, 0.587785, 0.}, {-0.891007, 0.45399, 0.}, {-0.951057, 0.309017, 0.}, {-0.987688, 0.156434, 0.}, {-1., 0., 0.}}. I'd like to rotate all the coordinates in the list in one shot, using something like this: Rotate[list, 180 Degree, {-1, -2, -1}]}} (*Axis angle rotation.*) I haven't gotten this to work though. I can rotate a single point at a time using a similiar method, but that is very time consuming. Question: Is there a way to rotate a list of numerous 3D coordinates such as in my example above, and if so, how do I code that using Mathematica 6.0.1? Thanks in advance, Bill