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Octahedra Constructed from Eight Identical Triangles

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smallest side of triangle
5
middle side of triangle
7
longest side of triangle
8
choose solution
1
2
3
5 7 8
opacity
1
zoom
edge thickness
side color
volume = 96
Eight identical copies of any triangle can be used to construct an octahedron, known as the 4-scalenohedron. Choose an arbitrary integer-sided triangle
T
and the Demonstration builds an octahedron using eight copies of
T
. There are as many as three possible solutions for every set of three sides. Some scalenohedra have rational volumes.
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