Polygon Face Math
For example any of the six squares that bound a cube is a face of the cube.
Polygon face math. F v e 2. Euler s theorem shows a relationship between the faces vertices and edges of a polyhedron. In elementary geometry a face is a polygon on the boundary of a polyhedron. Sometimes face is also used to refer to the 2 dimensional features of a 4 polytope.
Where f is the number of faces v is the number of vertices and e is the number of edges of a polyhedron. F v e 2. 6 8 12 2. It states that the sum of the faces and vertices minus the number of edges always equals two.
Minus the number of edges. This can be written. Plus the number of vertices. The faces of a 3d figure are not always polygons.
I mean a face of a shape or the flat surface of a shape that you can trace and see. Other names for a polygonal face include side of a polyhedron and tile of a euclidean plane tessellation. Plane shapes in math mean any closed flat two. F v e 2.
Try it on the cube. A cube has 6 faces 8 vertices and 12 edges so. Plane shapes with faces. Euler s theorem shows a relationship between the number of faces vertices and edges of a polyhedron.