Or go to the answers.įor instructions how to make a 3-D hexaflexagon (a figure made from six tetrahedrons), click here.įor instructions how to make a hexagonal prism (not a Platonic solid, but an interesting geometric solid), click here. Or go to the answers.įill 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). Unfolding 3-D Shapes: Cube and Tetrahedron Netsĭraw an unfolded cube and tetrahedron. These large dice come in handy when you want to do a dice-related activity with your class but want dice large enough that the whole class can see the result of the roll. Polyhedra: tetrahedron, cube, octahedron, dodecahedron, icosahedron. This resource is easy to use Print out the 3D shape you want to assemble, cut out the net of the polyhedron, fold on the lines, and glue the flaps to the corresponding side. Match Each Regular Polyhedron to Its Name and Its Unfolded Formĭraw lines between each Platonic solid (regular polyhedron), its name, and its unfolded form. An icosahedron is a twenty-sided regular geometric solid composed of equilateral triangles. 2 A, a representative Ag 2 O particle, also further proves the uniform octahedron structure. It is seen that Ag 2 O particles show well-defined and uniform octahedra, and have main edge lengths of ca. A dodecahedron is a twelve-sided regular geometric solid composed of pentagons. The morphology of Ag 2 O octahedron template is shown in Fig. An octahedron is an eight-sided regular geometric solid. Make a paper cube, a solid geometric figure with six square faces. This is an incredibly easy way to make a tetrahedron (a pyramid) from a small envelope. Make a paper tetrahedron, a pyramid formed by four triangles. Note: Euler's formula states that (The Number of Faces) + (The Number of Vertices) - (The Number of Edges) = 2 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.ĭual (The Platonic Solid that can be inscribed inside it by connecting the mid-points of the faces) The five regular polyhedra were discovered by the ancient Greeks. The five Platonic solids (or regular polyhedra) are the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. There are only five geometric solids that can be made using a regular polygon and having the same number of these polygons meet at each corner. Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron Our subscribers' grade-level estimate for this page: is a user-supported site.Īs a bonus, site members have access to a banner-ad-free version of the site, with print-friendly pages.
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