Tetrahedron - Special Cases

Special Cases

A regular tetrahedron is one in which all four faces are equilateral triangles, and is one of the Platonic solids. An isosceles tetrahedron, also called a disphenoid, is a tetrahedron where all four faces are congruent triangles. In a trirectangular tetrahedron the three face angles at one vertex are right angles. If all three pairs of opposite edges of a tetrahedron are perpendicular, then it is called an orthocentric tetrahedron. When only one pair of opposite edges are perpendicular, it is called a semi-orthocentric tetrahedron. An isodynamic tetrahedron is one in which the cevians that join the vertices to the incenters of the opposite faces are concurrent, and an isogonic tetrahedron has concurrent cevians that join the vertices to the points of contact of the opposite faces with the inscribed sphere of the tetrahedron.

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