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Plotting with a simplex

• To: mathgroup at smc.vnet.net
• Subject: [mg5518] Plotting with a simplex
• From: "Gordon A. Fox" <gfox at ucsd.edu>
• Date: Sat, 14 Dec 1996 19:26:12 -0500
• Organization: University of California, San Diego
• Sender: owner-wri-mathgroup at wolfram.com

Is there a way I can do plots for variables that are confined to a 
simplex? For example, I often work with variables that are frequencies, 
so, say, x + y + z = 1. I can obviously do an ordinary 3D plot, but since 
the action is confined to the simplex x+y+z=1, this is a bit silly. I can 
obviously use primitives to hack a picture, but that won't help me the 
next time I need to look at a different system that's subject to the same 
constraint. In some fields simplices like this are called triangle plots, 
though they can obviously have dimensions > 3.

Any suggestions are welcome!

Cheers,
Gordon