Octahedra Constructed from Eight Identical Triangles

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Eight identical copies of any triangle can be used to construct an octahedron, known as the 4-scalenohedron. Choose an arbitrary integer-sided triangle and the Demonstration builds an octahedron using eight copies of
. There are as many as three possible solutions for every set of three sides. Some scalenohedra have rational volumes.
Contributed by: Ed Pegg Jr (August 2015)
Open content licensed under CC BY-NC-SA
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"Octahedra Constructed from Eight Identical Triangles"
http://demonstrations.wolfram.com/OctahedraConstructedFromEightIdenticalTriangles/
Wolfram Demonstrations Project
Published: August 17 2015