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A regular tetrahedron, an example of a solid with full tetrahedral symmetry. A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.
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Drawing and crystal model of variant with tetrahedral symmetry called hexakis tetrahedron [1] In geometry , a tetrakis hexahedron (also known as a tetrahexahedron , hextetrahedron , tetrakis cube , and kiscube [ 2 ] ) is a Catalan solid .
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Reuleaux tetrahedron. The Reuleaux tetrahedron is the intersection of four balls of radius s centered at the vertices of a regular tetrahedron with side length s. [1] The spherical surface of the ball centered on each vertex passes through the other three vertices, which also form vertices of the Reuleaux tetrahedron.
English: This shows the materials science tetrahedron, which illustrates how a material's properties, processing, performance, and structure are interrelated. It is based on its having prior use in my engineering studies as a teaching device and symbol of the discipline, using this file as a reference.
The pentagonal icositetrahedron can be constructed from a snub cube without taking the dual. Square pyramids are added to the six square faces of the snub cube, and triangular pyramids are added to the eight triangular faces that do not share an edge with a square.
The four altitudes of an orthogonal tetrahedron meet at its orthocenter. Edges AB, BC, CA are perpendicular to, respectively, edges CD, AD, BD. In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. It is also known as an orthogonal tetrahedron since orthogonal means