Tetrahedron
One of the five platonic solids, and dual of itself. This model was made
from a single connected net, printed on one sheet of A4 paper. Nets can be
generated and printed using any of
Small Stella,
Great Stella,
or
Stella4D,
and is even available in their free demo versions.
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Multiple tetrahedra can be arranged in an intersecting manner to form
various compounds. Here is the simplest and best known one consisting
of 2 intersecting tetrahedra. This can be seen as a compound of a
tetrahedron with its dual, which happens to be another tetrahedron. It
is also a faceting of the cube and a stellation
of the octahedron.
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Here's another compound, consisting of 4 intersecting tetrahedra.
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This compound consists of 5 intersecting tetrahedra. Since it has
rotational symmetry but no reflective symmetry, it comes in left and
right forms.
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This compound contains 10 intersecting tetrahedra, and is a combination
of the two 5-tetrahedron compounds above.
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Copyright © 2001-2012,
Robert Webb.