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How many of these polyhedra?

The right is called a convex polyhedron, if all its faces are the same regular polygon and all the angles at the vertices are equal. There are only five:

  1. the tetrahedron is the right tetrahedron (faces - 4 right triangle), 6 edges and 4 vertices.
  2. exaet - right hexahedron, or cube (edge - 6 correct quadrilaterals (squares), 12 edges, 8 vertices;
  3. the octahedron is the right octahedron (faces - 8 right triangles), 12 edges and 6 vertices;
  4. the dodecahedron is the right octahedron (faces - 12 correct pentagons), 30 edges and 20 vertices;
  5. the icosahedron is the right an icosahedron (faces -20 right triangles), 30 edges and 12 vertices.
Tetrahedron
Tetrahedron
Tetrahedron
Exaet (cube)
Exaet (cube)
Exaet (cube)
The octahedron
The octahedron
The octahedron
Dodecahedron
Dodecahedron
Dodecahedron
Icosahedron
Icosahedron
The icosahedron

 


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