Drawing polytopes
- To: mathgroup at smc.vnet.net
- Subject: [mg24236] Drawing polytopes
- From: Matthijs Sypkens Smit <matthijs at helena.tux.nu>
- Date: Mon, 3 Jul 2000 20:39:17 -0400 (EDT)
- Organization: XS4ALL Internet BV
- Sender: owner-wri-mathgroup at wolfram.com
I'm wondering if it's possible to draw (convex) polytopes defined by
systems of linear inequalities. For example the system:
x + 2y + z <= 3
2x - y >= 0
-x + 2y + z >= 0
y + z >= 0
2x + 3y + 3z >= 1
Can I get Mathematica to draw the polytope defined on R^3 by this system?
I'm able to solve this system with
InequalitySolve[{x+2y+2z<=3,2x-y>=0,-x+2y+z>=0,y+z>=0,2x+3y+3z>=1},{x,y,z}]
but the data is hard to interpret this way.
btw; the same problem, but a little more intuitive, would be to draw a
cube with the system defined below:
{x >= -1, x <= 1, y >= -1, y <= 1, z >= -1, z <= 1}
Any hints are appreciated,
--
Matthijs
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