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.
Any pyramid.
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.
Yes, 2-dimensional shapes have vertices, which are the points where two or more edges meet. For example, a triangle has three vertices, while a square has four. The number of vertices varies depending on the type of polygon; for instance, a pentagon has five vertices.
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
no numbers have the same number of edges and vertices
Any pyramid.
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.
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.
Yes, 2-dimensional shapes have vertices, which are the points where two or more edges meet. For example, a triangle has three vertices, while a square has four. The number of vertices varies depending on the type of polygon; for instance, a pentagon has five vertices.
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
no numbers have the same number of edges and vertices
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.
pyramid
There is no limit to the number of vertices that a solid figure can have.
A three-dimensional figure is described by its dimensions, such as length, width, and height. Additionally, it can be characterized by its volume, surface area, and the shapes of its faces. Other properties include the number of edges and vertices, as well as its geometric classification, such as whether it is a prism, pyramid, or sphere.
A triangular based pyramid has 4 faces and 4 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.