Platonic Solids

Tetrahedron

 
         
   
 
 
 

Tetrahedron

Tetrahedron

Tetrahedron Inscribed in a Cube

-The tetrahedron is one of the 5 Platonic solids.

-The left solid is made from four maple triangles (hollow). The middle model's faces are made from tulip wood, purple heart, padauk, and ebony.

-Tetrahedrons are the simplest of all deltahedra, and are self dual (the centres of each face give the vertices of another tetrahedron).

-Since there is V=4 vertices, E=6 edges and F=4 faces, Euler's formula is
satisfied: V+F = E+2.

-In the right picture, a tetrahedron (birch coffee stir sticks) is inscribed within a cube.

   
 

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[Cube] [Dodecahedron] [Icosahedron]
[Octahedron] [Tetrahedron]