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Re: Sterographic plotting program

• To: mathgroup at smc.vnet.net
• Subject: [mg51289] Re: Sterographic plotting program
• From: mathma18 at hotmail.com (Narasimham G.L.)
• Date: Tue, 12 Oct 2004 01:57:55 -0400 (EDT)
• References: <cjtnf7$8gv$1@smc.vnet.net> <ckajgr$m5j$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

mathma18 at hotmail.com (Narasimham G.L.) wrote in message news:<ckajgr$m5j$1 at smc.vnet.net>...
> Roger Mason <rmason at esd.mun.ca> wrote in message news:<cjtnf7$8gv$1 at smc.vnet.net>...
> > Has anyone implemented a program to plot stereograms in Mathematica?
> > Stereograms are used in crystallography to plot the positions of faces
> > (and other planes) on crystals.[1]
> 
> In the following, Loxodromes making +/- 30 Degree to any meridian are
> stereographically projected onto plane tangential to South Pole as
> equi-angular/Logarithmic spirals. Please add 4 or 6 Loxos around polar
> axis to get a full pattern. (Avoided it, as it may clutter up the
> graphic). I remember a beautiful picturization similar to this in
> 'Mathographics' by Dixon Robert.A., New York, Dover, 1991.

Also take a small circle on sphere and project stereographically it on
south pole tangent plane, it is again a circle.