Display Title
Video Definition 37--3D Geometry--Platonic Solids
Display Title
Platonic Solids
Topic
3D Geometry
Definition
Platonic solids are a group of five regular polyhedra, each with congruent faces of regular polygons and the same number of faces meeting at each vertex.
Description
Platonic solids are fundamental in the study of geometry, representing the only five regular polyhedra that exist. They include the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. These shapes are characterized by their high degree of symmetry and have been studied since ancient times for their aesthetic and mathematical properties. Platonic solids are used in fields like architecture, art, and molecular modeling. In math education, they help students understand concepts of symmetry, regularity, and spatial reasoning. For example, Euler's formula
V − E + F = 2
applies to all Platonic solids, where V V is the number of vertices, E is the number of edges, and F is the number of faces.
For a complete collection of terms related to 3D Geometry click on this link: 3D Geometry Video Collection.
| Common Core Standards | CCSS.MATH.CONTENT.5.MD.C.3, CCSS.MATH.CONTENT.7.G.A.3 |
|---|---|
| Duration | 1 minutes |
| Grade Range | 4 - 6 |
| Curriculum Nodes |
Geometry • 3D Geometry • 3-Dimensional Figures |
| Copyright Year | 2024 |
| Keywords | three-dimensional geometry, 3d Geometry, defnitions, glossary term |
