0
What states that the number of edges equals the number of faces plus number of vertices-2?
Wiki User
∙ 12y ago
The Euler characteristic.
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What is the number edges on a trapezium?
There are four edges, it is also called a trapezoid in the United States.
If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
Is the number of edges on the base of a pyramid is twice the total number of edges?
No, it is the other way around. The total number of edges is twice the number of edges on the base.
What shape has 6 faces 11 vertices and 4 edges?
No simply connected polyhedron since it does not meet the requirements of the Euler characteristic, which states that F + V = E + 2 F = number of faces V = number of vertices E = number of edges
Number of edges on a icosahedron?
no. of edges on a icosahedron are 30
What is the number edges on a trapezium?
There are four edges, it is also called a trapezoid in the United States.
How many eadges does a pyramid have?
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.
How can the number of edges of the base of a prism be used to calculate the number of edges?
The total number of edges is three times the number of edges on the base.The total number of edges is three times the number of edges on the base.The total number of edges is three times the number of edges on the base.The total number of edges is three times the number of edges on the base.
If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
Is the number of edges on the base of a pyramid is twice the total number of edges?
No, it is the other way around. The total number of edges is twice the number of edges on the base.
How many edges does dice have?
A die had 12 edges. The number of edges that dice have will depend on the number of dice!
Number of edges on a cube?
17 edges * * * * * No. A cuboid has 12 edges.
What is the number of edges on a sphere?
There are no edges on a sphere.
Number of edges in a pentagon?
6 edges
What shape has 6 faces 11 vertices and 4 edges?
No simply connected polyhedron since it does not meet the requirements of the Euler characteristic, which states that F + V = E + 2 F = number of faces V = number of vertices E = number of edges
How is the number of edges related to the number of sides?
The mathematician Euler created a formula that relates the vertices, edges, and faces/sides. The formula states that:V - E + F = 2When V is the number of vertices, E is the number of edges, and F is the number of faces.How do the number of edges relate to the number of sidesUsing simple algebra this formula can be modified so the number of edges is related to the number of faces:V - E + F = 2V + F = 2 + EV + F - 2 = EE = V - 2 + FThe edges are equal to the vertices plus the faces subtract two.How do the number of sides relate to the number of edgesUsing simple algebra this formula can be modified so the number of faces is related to the number of edges:V - E + F = 2V + F = 2 + EF = 2 + E - VThe faces are equal to the edges subtract the vertices plus two.
What pyramids have an odd number of edges?
There are no pyramids with an odd number of edges. A pyramid is defined as a polygon for the base, with triangular shaped faces rising from the base's edges to a common point above the plane. As a result, the number of rising edges is always equal to the number of base edges, meaning that the total number of edges is always even.
