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From: Eric Belcastro &lt;eric@telltree.com&gt;
Newsgroups: comp.soft-sys.matlab
Subject: Plot Nonorthogonal Coordinate Systems
Date: Wed, 17 Dec 2008 16:27:21 EST
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Hi, I am new to matlab, and have searched around for a good method of achieving this and haven't found it yet, so I thought I would ask for some help.

     I am working with a hexagonal coordinate system, defined in terms of the basis vectors - (in terms of polar coordinates (magnitude,angle)) - (1,0) and (1,pi/3).  Technically the coordinates have a two-coordinate and a three-coordinate representation, but the three-coordinate representation I am not concerned with here.  I have all of the basic mathematical understanding of the coordinate system that I need - but I don't understand how to represent and plot nonorthogonal coordinate systems in matlab.  All that I really have to do is tilt the y-basic vector of the standard Cartesian model clockwise by 30 degrees, and have the coordinates be defined in terms of these basis vectors - that should be quite easy.  Yet I don't see any standard routines for doing such a thing.

    My reasons for doing this are to investigate the properties of numbers on this grid via different reflections and rotations, and also to investigate a non-orthogonal representation of complex numbers. Just for fun in other words. ;) I am in between semesters and feel like getting out all of those ideas that I don't have time for when class is in session.

Thank you in advance for any help.
Eric Belcastro
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