The Euler characteristic.
no numbers have the same number of edges and vertices
for any prism , number of ___ + number of vertices = number of edges + ___
There is not a polyhedron with the given number of faces, edges and vertices.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
There is not a specific formula fro vertices and edges. The Euler characteristic links the number of vertices, edges AND faces as follows: E + 2 = V + F for a simply connected polyhedron.
The Euler characteristic.
It depends on the base of the pyramid. To find it, add the number of edges of the vertices is of the base to its number of edges. Example: for a square pyramid, there is 4 vertices and 4 edges in the base. The Edges of the pyramid is then 4+4 which equals 8.
no numbers have the same number of edges and vertices
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
A sphere- there are no faces, edges or vertices
for any prism , number of ___ + number of vertices = number of edges + ___
There is no limit to the number of vertices nor edges.
Edges: 4, Vertices: 4 and Edges: still 4, their number hasn't changed!
It has 7 faces, 15 edges and 10 vertices
5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.
Sphere ( 0 faces , 0 edges , 0 vertices )