Use Euler's Formula and properties of known platonic solids' faces, edges, and vertices to determine why only five platonic solids exist.

A Platonic solid is a polyhedron made up of only one kind of regular polygon, that looks the same from every direction. (In other words, the same number of faces meet at every vertex.) There are only five different Platonic solids:...

This site gives a description of platonic solids along with a visual representation of each of the five platonic solids. At the bottom of the page are links to cut-out-templates for each of the platonic solids. Be sure to follow the...

Learn about platonic solids, a special type of polyhedra. Read a definition, make three-dimensional models using printouts, and play with an interactive animation, which will show you the faces, vertices, and edges on platonic solids:...

A short interactive activity to visualize the different platonic solids. You can also change the axis of rotation.

Did you know that the five regular platonic solids (tetrahedron, octahedron, icosahedron, cube, and dodecahedron) were thought to represent earth, air, fire, water, and the universe? This chart shows an image and provides a description...

The 'Platonic solids' are three-dimensional shapes formed by putting together identical regular faces. Every corner and every edge is identical to every other corner and edge. There are five such 'solids': the tetrahedron, cube,...

This is a hands-on activity that introduces students to the five Platonic solids. Students will discover the special relationship between faces, vertices, and edges. Students will research the Platonic solids and then construct and...

This site, which is provided for by Math World, is a lengthy site describing the various properties and mathematical explanations of the figures.

A "three star geometry problem" requiring knowledge of how to complete geometric proofs to prove that there are no more than five regular convex polyhedra.

This worksheet provides a variety of 3D geometry questions requiring higher order thinking skills. Questions include; finding the surface area of a prism, surface area of pyramid, surface area of a sphere, and platonic solids.

A brief site that includes some activities to understand the figures.

An informative resource on the nature of Platonic Solids and what constitutes these figures.

This tutorial features templates and instructions to make the following solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

The octahedron is defined and illustrated. Links access related terms, everyday examples, challenging problems, and an interactive checkpoint involving octahedrons and other platonic solids.

This math site defines a tetrahedron, gives reference to the Platonic solid, and gives views from varying perspectives. It also provides formulas for veritices of a tetrahedron lieing along the the positive X axis, formulas for area,...

Students learn about art and mathematics. Topics include the golden ratio, platonic solids, and number symbolism. The learning resource includes a description, requirements, syllabus, and bibliography.

The Shodor Education Foundation provides this lesson plan to give students an opportunity to connect probabilty and geometry. Students learn how to calculate probability, use geometry to solve probabilty problems, and, as an added bonus,...

This lesson focuses on polyhedra other than the platonic solids; these include an Archimedean solid, a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different...

An informative site on the nature of Platonic Solids and what constitutes these figures.

This article provides the definition of a function, with links to related material.

Discusses the evolution of ideas about the cosmos, from the Magic Cosmology of the Neolithic age to the stage of Mythical Cosmology, to the Geometric Cosmology of the ancient Greeks. The third stage advocated a rational approach to...

Introduces the concept of 3D shapes by learning the definition, types, properties, and three dimensions. Check-out the solved examples for better understanding and try your hand at solving a few interactive questions at the end of the page.

This question and answer site provides a lot of basic information about polyhedra. The five regular polyhedra, "The Platonic Solids," are described.