Learn about 3D shapes and the relationship between their parts.
Euler's Identity Check
The Cube Example:
Vertices (V) = 8
Edges (E) = 12
Faces (F) = 6
8 - 12 + 6 = 2!
Famous Polyhedra
Tetrahedron4 FacesTriangle faces
Cube6 FacesSquare faces
Octahedron8 FacesTriangle faces
Dodecahedron12 FacesPentagon faces
About this calculator
What is a Polyhedron?
A polyhedron is a 3D solid with flat polygonal faces, straight edges, and sharp corners or vertices. The famous 'Platonic Solids' are a special group where every face is the same regular polygon.
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Pro Tips
V is the number of vertices (points).
E is the number of edges (lines).
F is the number of faces (flat surfaces).
This formula holds true for any convex polyhedron.
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Fun Facts
"There are only 5 Platonic solids: Tetrahedron, Cube, Octahedron, Dodecahedron, and Icosahedron."
"The icosahedron has 20 faces, all of which are equilateral triangles."
