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triakisoctahedron

triakis octahedron

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The answer TRIAKISOCTAHEDRON (triakis octahedron) has 0 possible clue(s) in existing crosswords.

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The word TRIAKISOCTAHEDRON (triakis octahedron) is NOT valid in any word game. (Sorry, you cannot play TRIAKISOCTAHEDRON (triakis octahedron) in Scrabble, Words With Friends etc)

There are 17 letters in TRIAKISOCTAHEDRON ( A¹C³D²E¹H⁴I¹K⁵N¹O¹R¹S¹T¹ )

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Definitions of triakis octahedron in various dictionaries:

TRIAKIS OCTAHEDRON - In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the tru...

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Triakis octahedron description
In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube.* It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron. It is also sometimes called a trisoctahedron, or, more fully, trigonal trisoctahedron. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron. * This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity, but the vertices are in different relative distances from the center. * If its shorter edges have length 1, its surface area and volume are: * * * * * * * * * A * * * * = * 3 * * * 7 * + * 4 * * * 2 * * * * * * * * * V * * * * = * * * * 3 * + * 2 * * * 2 * * * * 2 * * * * * * * * * {\displaystyle {\begin{aligned}A&=3{\sqrt {7+4{\sqrt {2}}}}\\V&={\frac {3+2{\sqrt {2}}}{2}}\end{aligned}}}

Triakis octahedron description

In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube.* It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron. It is also sometimes called a trisoctahedron, or, more fully, trigonal trisoctahedron. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron.
* This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity, but the vertices are in different relative distances from the center.
* If its shorter edges have length 1, its surface area and volume are:
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* A
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* 3
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* 7
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* 4
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* 2
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* 3
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* 2
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* {\displaystyle {\begin{aligned}A&=3{\sqrt {7+4{\sqrt {2}}}}\\V&={\frac {3+2{\sqrt {2}}}{2}}\end{aligned}}}

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triakisoctahedron