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Tetrahedron 18-Compound


Tetrahedron18Compounds

A number of attractive 18-compounds of the regular tetrahedron can be constructed.

The compound illustrated above are implemented in the Wolfram Language as PolyhedronData[{"TetrahedronEighteenCompound", 1}].

Tetrahedron18CompoundsAndDuals

This tetrahedron 18-compound is illustrated above together with its dual and common midsphere.

Tetrahedron18CompoundsIntersectionsAndConvexHulls

The common solid and convex hull are illustrated above. The convex hull has the connectivity of the hexagon-augmented truncated octahedron.


See also

Polyhedron Compound, Regular Tetrahedron

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Cite this as:

Weisstein, Eric W. "Tetrahedron 18-Compound." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Tetrahedron18-Compound.html

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