Tetrahedron
From Encyclopedia of Mathematics
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The convex hull of a set of four points, not all in one plane. In particular, a regular tetrahedron is one of the five types of Platonic polyhedra (cf. Platonic solids). A tetrahedron has 4 (triangular) faces, 6 edges and 4 vertices (at each of which 3 edges meet). If 
is the length of an edge of the regular tetrahedron, then its volume is
 |
A tetrahedron is a triangular pyramid.
Figure: t092510a
Comments
A solid tetrahedron is also called a 
-simplex. The Schläfli symbol of a tetrahedron is 
.
References
| [a1] | H.S.M. Coxeter, "Introduction to geometry" , Wiley (1969) pp. 149; 185 |
| [a2] | H. Senechal (ed.) G. Fleck (ed.) , Shaping space , Birkhäuser (1988) pp. 5; 7; 100; 133; 175 |
How to Cite This Entry:
Tetrahedron. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Tetrahedron&oldid=18299
Tetrahedron. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Tetrahedron&oldid=18299
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article