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MathGroup Archive 2000

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Re: get points from the polyhedron

  • To: mathgroup at smc.vnet.net
  • Subject: [mg24446] Re: [mg24363] get points from the polyhedron
  • From: BobHanlon at aol.com
  • Date: Tue, 18 Jul 2000 00:58:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

In a message dated 7/12/2000 11:25:46 PM, khs at procd.sogang.ac.kr writes:

>I tried to get points from the Octahedron, so I typed
>
>Vertices[Octagon]
>
>but the results were Vertices[Octagon] itself.....
>
>How can I do?
>

You need to load the required standard package

Needs["Geometry`Polytopes`"]

vert1 = Vertices[Octagon]

{{1/Sqrt[2], 1/Sqrt[2]}, {0, 1}, {-(1/Sqrt[2]), 1/Sqrt[2]}, {-1, 0}, 
{-(1/Sqrt[2]), -(1/Sqrt[2])}, {0, -1}, 
  {1/Sqrt[2], -(1/Sqrt[2])}, {1, 0}}

Show[Graphics[Line[Append[vert1, First[vert1]]]], AspectRatio -> 1, 
    ImageSize -> {100, 100}];

vert2 = Vertices[Octahedron]

{{0, 0, Sqrt[2]}, {Sqrt[2], 0, 0}, {0, Sqrt[2], 0}, {0, 0, -Sqrt[2]}, 
{-Sqrt[2], 0, 0}, {0, -Sqrt[2], 0}}

Needs["Graphics`Polyhedra`"]

Show[{Polyhedron[Octahedron], Graphics3D[{PointSize[.03], Point /@ vert2}]}];


Bob Hanlon


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