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

• To: mathgroup at smc.vnet.net
• Subject: [mg100074] Re: Rotating a list of 3D point coordinates in one shot
• From: Bob F <deepyogurt at gmail.com>
• Date: Fri, 22 May 2009 23:38:32 -0400 (EDT)
• References: <gv2k0e\$9gs\$1@smc.vnet.net>

```On May 20, 10:06 pm, Bill <WDWNORW... at aol.com> wrote:
> 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?
>
>
> Bill

There is the function ListPointPlot3D[list] that would generate a 3D
plot that you can easily click & drag to rotate, or you could then use
Rotate, e.g.

ll = ListPointPlot3D[list]
Rotate[ll, 180 Degree]

-Bob

```

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