Art of Problem Solving

Tetrahedron: Difference between revisions

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The '''tetrahedron''' or ''triangular pyramid'' is the simplest [[polyhedron]].  Tetrahedra are one of the five types of [[Platonic solid]]s.
The '''tetrahedron''' or ''triangular pyramid'' is the simplest [[polyhedron]].  Tetrahedra have 4 [[vertex|vertices]], 4 [[triangle | triangular]] [[face]]s and 6 [[edge]]s.  3 faces and 3 edges meet at each vertex.


Tetrahedra have 4 [[vertex|vertices]], 4 [[triangle | triangular]] [[face]]s and 6 [[edge]]s.  3 faces and 3 edges meet at each vertex.
Any 4 points chosen in space will be the vertices of a tetrahedron as long as they do not all lie on a single [[plane]].


Any 4 points chosen in space will be the vertices of a tetrahedron as long as they do not all lie on a single [[plane]].
Regular tetrahedra, in which all edges have equal [[length]] and all faces are [[congruent]] [[equilateral triangle]]s, are one of the five types of [[Platonic solid]]s.

Revision as of 07:46, 19 July 2007

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The tetrahedron or triangular pyramid is the simplest polyhedron. Tetrahedra have 4 vertices, 4 triangular faces and 6 edges. 3 faces and 3 edges meet at each vertex.

Any 4 points chosen in space will be the vertices of a tetrahedron as long as they do not all lie on a single plane.

Regular tetrahedra, in which all edges have equal length and all faces are congruent equilateral triangles, are one of the five types of Platonic solids.