Types of Polyhedron
Polyhedron is referred to as a three-dimensional solid that is made up of polygons. It consists of flat polygonal faces, straight edges, and sharp corners called vertices.
Some examples of polyhedrons are cubes, pyramids, prisms, etc. Different types of polyhedrons have been discussed in the table below:
| Types of Polyhedron | Description | Examples |
|---|---|---|
| Regular Polyhedron | A polyhedron whose faces are regular, congruent polygons. | Tetrahedron, Cube, Regular Octahedron, Regular Dodecahedron, Regular Icosahedron |
| Irregular Polyhedron | A polyhedron made up of irregular polygonal faces that are not congruent to each other. | Pentagonal Pyramid, Triangular Prism, Octagonal Prism |
| Convex Polyhedron | A polyhedron where the line segment joining any two points lies within its interior or surface, and the surface does not intersect itself. | Cube, Regular Tetrahedron, Prism |
| Concave Polyhedron | A non-convex polyhedron where at least one line segment joining two points of the polyhedron lies outside its surface. | Star-shaped Polyhedrons, Concave Cubes |
Note : As cones, cylinders, and spheres do not have polygonal faces and curved surfaces, they are non-polyhedrons.
Faces, Edges And Vertices of 3D Shapes
Faces, Edges, And Vertices of 3D Shapes: Faces, Edges, and Vertices are the three basic properties that are used to define various 3D objects. They have different dimensions like length, width, and height.
Faces are the flat surfaces of a 3D shape. They are bounded by edges and are what give the shape its appearance. Edges are the straight lines where two faces of a 3D shape meet. They form the boundaries between faces and help define the shape’s overall structure. Vertices (singular: vertex) are the points where the edges of a 3D shape meet. They are essentially the corners of the shape.
In this article, we are going to learn about the faces, edges, and vertices of different 3D shapes in detail.
Table of Content
- What are Faces?
- What are Edges?
- What are Vertices?
- Types of Polyhedron
- Faces, Edges And Vertices of 3D Shapes
- Euler’s Formula
- Relation Between Faces, Edges And Vertices of 3D Shapes
- Faces, Edges And Vertices of 3D Shapes Examples
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