answersLogoWhite

0

According to the Euler characteristic, the number of faces, edges and vertices are related by:

V - E + F = 2 for ANY convex polyhedron.

If V = E then F = 2 faces.

Also, E = F requires V = 2 vertices.

No such figure exists.

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

Which 3 dimensional figure has the same number of faces as vertices?

Any pyramid.


Why is knowing the amount of edges and vertices help you make a 3 dimensional figure?

Using the Euler cahracteristic, these two items of information uniquely determine the number of faces for a simply connected polyhedron. That might help you make a three dimensional figure but you will need to be practised to recognise patterns in these numbers.


What has six sides and four vertices?

Since the number of sides and vertices is different, it cannot be a 2-dimensional shape. The only 3-dimensional shape with 4 vertices is a tetrahedron and that does not have 6 sides. Consequently, there is no such shape.


What is a three dimensional figure that has faces with more than one dimensional figure?

All three dimensional figures have more faces than a one dimensional figure. There are an infinite number of one dimensional points on a three dimensional figure


Which 2 shapes have the same number of edges and vertices?

no numbers have the same number of edges and vertices


What solid figure has an odd number of vertices?

pyramid


Which solid figure have the most verticies?

There is no limit to the number of vertices that a solid figure can have.


How many vertices is in a tetracontakaioctagon or a 48 sided prism?

The question is rather confused since a tetracontakaioctagon is a 2-dimensional shape whereas a prism is 3-dimensional. Moreover, [3-dimensional] polyhedra are generally named according to the number of faces that they have and, apart from the tetrahedron, the number of vertices is indeterminate. A pentahedron (5- faces) can have 4 or 5 vertices.


What figure has the same number of faces as it has vertices?

any pyramid


What is the formula for a quadrangle?

Number of vertices in the plane figure = 4.


Figure that has the same number of faces and vertices?

A triangular based pyramid has 4 faces and 4 vertices


Does a prism have an even number of vertices?

Yes, a prism has an even number of vertices. A prism is a three-dimensional shape with two parallel and congruent polygonal bases connected by rectangular or parallelogram faces. The number of vertices in a prism is equal to the number of vertices in its bases plus the number of vertices in the lateral faces. Since each base has an equal number of vertices, and the lateral faces have an even number of vertices, the total number of vertices in a prism is always even.