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Regular Polyhedra or Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron
The five regular polyhedra were discovered by the ancient Greeks. The Pythagoreans knew of the tetrahedron, the cube, and the dodecahedron; the mathematician Theaetetus added the octahedron and the icosahedron. These shapes are also called the Platonic solids, after the ancient Greek philosopher Plato; Plato, who greatly respected Theaetetus' work, speculated that these five solids were the shapes of the fundamental components of the physical universe.
|Platonic Solid||Picture||Number of Faces||Shape of Faces||Number of Faces at Each Vertex||Number of Vertices||Number of Edges||Unfolded Polyhedron (Net)||Dual (The Platonic Solid that can be inscribed inside it by connecting the mid-points of the faces)|
Make a paper tetrahedron, a pyramid formed by four triangles.
TETRAHEDRON FROM A SMALL ENVELOPE
This is an incredibly easy way to make a tetrahedron (a pyramid) from a small envelope.
Make a paper cube, a solid geometric figure with six square faces.
Make a paper octahedron. An octahedron is an eight-sided regular geometric solid.
Make a paper dodecahedron. A dodecahedron is a twelve-sided regular geometric solid composed of pentagons.
Make a paper icosahedron. An icosahedron is a twenty-sided regular geometric solid composed of equilateral triangles.
Match Each Regular Polyhedron to Its Name and Its Unfolded Form
Draw lines between each Platonic solid (regular polyhedron), its name, and its unfolded form. Polyhedra: tetrahedron, cube, octahedron, dodecahedron, icosahedron. Or go to the answers.
Unfolding 3-D Shapes: Cube and Tetrahedron Nets
Draw an unfolded cube and tetrahedron. Or go to the answers.
Fill in the name, number of faces, net, number of vertices, number of edges, and shape of the faces for five polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Or go to the answers.
|For instructions how to make a 3-D hexaflexagon (a figure made from six tetrahedrons), click here.|
|For instructions how to make a hexagonal prism (not a Platonic solid, but an interesting geometric solid), click here.|
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