Laplace–Runge–Lenz vector

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Also visit my site - como ganhar dinheiro na internet In geometry, a triakis tetrahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated tetrahedron.

It can be seen as a tetrahedron with triangular pyramids added to each face; that is, it is the Kleetope of the tetrahedron. This interpretation is expressed in the name.

If the triakis tetrahedron has shorter edge lengths 1, it has area ${\tfrac {5}{3}}\scriptstyle {\sqrt {11}}$ and volume ${\tfrac {25}{36}}\scriptstyle {\sqrt {2}}$.

Orthogonal projections

Orthogonal projection

Centered by	Edge normal	Face normal	Edge	Face/vertex
Truncated tetrahedron
Triakis tetrahedron
Projective symmetry	[1]	[1]	[3]	[4]

Variations

A triakis tetrahedron with equilateral triangle faces represents a net of the four-dimensional regular polytope known as the 5-cell.

Stellations

This chiral figure is one of thirteen stellations allowed by Miller's rules.

Related polyhedra

The triakis tetrahedron is a part of a sequence of polyhedra and tilings, extending into the hyperbolic plane. These face-transitive figures have (*n32) reflectional symmetry.

See also

• Truncated triakis tetrahedron

References

• Template:The Geometrical Foundation of Natural Structure (book) (Section 3-9)
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External links

• Template:Mathworld2

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