Re: Geometry- transformations
- To: mathgroup at smc.vnet.net
- Subject: [mg34382] Re: Geometry- transformations
- From: "Borut L" <gollum at email.si>
- Date: Fri, 17 May 2002 06:31:13 -0400 (EDT)
- Organization: Home
- References: <abvubg$m53$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Greeting to neighbooring Croatia, Your taks involves defining points in 3D, that is XYZ. Make a Polygon object. Use package <<Graphics`Shapes` to access affine transform methods - translation, roatation and stretching. Translation is straightforward, when rotation involves Euler angles, where the first one - phi is rotation around z-axis, which is perpendicular to XY shapes. Not a full solution, but half a way. Bye, Borut from Slovenia "Hrvoje Posilovic" <hposilovic at inet.hr> wrote in message news:abvubg$m53$1 at smc.vnet.net... > Dear Mathematica experts, > > I am very new Mathematica user and have one problem > which is for me impossible to solve. > I must define geometric shape by set of points in XY plane and than rotate > that shape (points) in steps of 1 deg around Z axis for 3 or 4 revolutions, > at the same time that > shape must be resized (magnified) by sale fator R for 1 deg reolution > step, and translated downward Z axis by translation factor T for 1 deg > revolution step. > All three transforations must be done at the same time. > That will generate shape similat to snail shell. > At the end must read all coordinate points generated. > I do not want to render or draw generated shape but only > to have coordinates of all the points generaded from the > initial points. > > I do not know is it possible to do something like that with Mathematica. > I will appreciate any help. > > Best Regards > Hrvoje Posilovic > 10000 Zagreb > Croatia > hposilovic at inet.hr > > > > > > coordinates > -- > Hrvoje > > hposilovic at inet.hr >