Cube and Octahedron Movement

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Each vertex of a cube is connected to three vertices of an octahedron with bars. As you pull out the vertices of the octahedron, keeping the bar length constant, the size of the octahedron increases and the size of the cube decreases; if you push in the vertices, the opposite effects occur. A solid octahedron with constant size is also shown for reference. This can be built as a physical model if the bars are flexible enough to pass by each other and hinges are used at the vertices.

Contributed by: Sándor Kabai (September 2007)
Suggested by: Tibor Tarnai
Based on an animation by: R.W. Gray (© June 2002)
Open content licensed under CC BY-NC-SA



This Demonstration is based on an animation by R.W. Gray.

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