
A tetrahedron is a type of polyhedron with four triangular faces, six edges, and four vertices. It’s the simplest form of a three-dimensional shape with flat faces. The classic tetrahedron, often called a "regular tetrahedron," has four equilateral triangular faces, meaning each face is the same size and each edge is of equal length. This...

An octahedron is a polyhedron with eight triangular faces, twelve edges, and six vertices. It is the three-dimensional shape most commonly associated with two square pyramids joined at their bases, creating a balanced and symmetrical structure. Like the tetrahedron, the regular octahedron is one of the five Platonic solids, meaning all its faces are equilateral...

A dodecahedron is a polyhedron with twelve flat faces, thirty edges, and twenty vertices. Each face of a regular dodecahedron is a regular pentagon, making it one of the five Platonic solids, a group of polyhedra where all faces, edges, and angles are identical. This uniformity gives the dodecahedron a highly symmetrical and aesthetically appealing...
A tetrahedron is a type of polyhedron with four triangular faces, six edges, and four vertices. It’s t...
An octahedron is a polyhedron with eight triangular faces, twelve edges, and six vertices. It is the...
A dodecahedron is a polyhedron with twelve flat faces, thirty edges, and twenty vertices. Each face...
Euclid’s construction of the dodecahedron, as detailed in The Elements , specifically in Book XIII, i...