![]() ![]() The opposite edges of a regular tetrahedron are perpendicular, and so can form a universal coupling if hinged appropriately. Into 24 pieces (Gardner 1984, pp. 190 and 192 Langman 1951).Īlexander Graham Bell was a proponent of use of the tetrahedron in framework structures, including kites (Bell 1903 Lesage 1956, Gardner 1984, pp. 184-185). Planes, each passing through an edge and bisecting the opposite edge, it is sliced With no polyhedron diagonals, and it cannotīe stellated. The tetrahedron is the only simple polyhedron The tetrahedron is its own dual polyhedron, and therefore the centers of the faces of a tetrahedron form another tetrahedron (Steinhausġ999, p. 201). Is given by the tetrahedral graph, equivalent ![]() ![]() It is the prototype of the tetrahedral group. The surface area of the tetrahedron is simply four times the area of a single equilateral triangle The tetrahedron can be addressed using the Pólya The tetrahedron has two distinct nets (Buekenhout and Parker 1998). There are no other convex polyhedra other than the tetrahedron having four faces. (the axes connecting the midpoints of opposite sides). The tetrahedron has 7 axes of symmetry: (axes connecting vertices with the centers of the opposite Precomputed properties are available as PolyhedronData[ "Tetrahedron", The regular tetrahedron is implemented in the Wolfram Language as Tetrahedron It is an isohedron, and a special case of the general It is described by the Schläfli symbol and the Wythoff Polyhedron with Maeder index 1 (Maeder 1997), Wenninger index 1 (Wenninger 1989),Ĭoxeter index 15 (Coxeter et al. Polyhedron edges, and four equivalent equilateral Often simply called "the" tetrahedron, is the Platonic ![]()
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