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It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
The book called Platonic Solids: The experience
There are different numbers on the different platonic solids.
There are several triangular polyhedra. The simplest is a tetrahedron with 4 faces, but you can have a triangular dipyramid (two tetrahedra stuck together along one face) which has 6 faces. Then there is the icosahedron with 20 faces. The tetrahedron and icosahedron are Platonic solids, but there are many more.
The five Platonic solids are regular polyhedra. They are convex shapes which are created from regular polygonal faces, such that the number of faces meeting at each face is the same.The five are:tetrahedron - 4 triangular faces;hexahedron (or cube - 6 square faces;octahedron - 8 triangular faces,dodecahedron - 12 pentagonal facesicosahedron - 20 triangular faces.To see their images, search Google for Platonic Solids.
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There (not their) are 5 platonic solids.
The regular tetrahedron - one of the 5 platonic solids.
It is an octahedron which is one of the Platonic Solids having 8 equilateral triangular faces and 12 edges.
The platonic solids are: a tetrahedron, a cube, an octahedron, dodecahedron and icosahedron. A pyramid has a base with triangles attached to it with a common vertex. The platonic solid that is a pyramid is a tetrahedron (a triangular based pyramid).
The Platonic solids in modern Euclidean geometry are five regular polyhedra. These are three-dimensional objects that are bounded by regular polygonal faces. They are: Tetrahedron (or triangular pyramid): 4 triangular faces; Hexahedron (cube): 6 square faces; Octahedron: 8 triangular faces; Dodecahedron: 12 pentagonal faces; Icosahedron: 20 triangular faces. See link for more.
The book called Platonic Solids: The experience
There are different numbers on the different platonic solids.
There are several triangular polyhedra. The simplest is a tetrahedron with 4 faces, but you can have a triangular dipyramid (two tetrahedra stuck together along one face) which has 6 faces. Then there is the icosahedron with 20 faces. The tetrahedron and icosahedron are Platonic solids, but there are many more.
We don't know for certain who discovered the platonic solids first. However, Pythagoras is credited by some sources as discovering the platonic solids first. Other sources credit Theaetetus as being the first to describe all five platonic solids and proving that these are the *only* platonic solids.
There are 5. They are the tetrahedron (4 triangular faces), the cube (6 square faces), the octahedron (8 triangular faces), the dodecahedron (12 pentagonal faces), and the icosahedron (20 triangular faces).