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A (genus-0) polyhedron must satisfy Euler's formula:
V + F - E = 2.
Setting V, E, F equal to the same value, say, X, we get
X + X - X = 2
X = 2.
A solid with two edges, vertices and faces is called a "digonal hosohedron", but it is not usually considered a three-dimensional figure, in euclidean space.
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How many faces vertices edges does a rhombus?
A rhombus is a two dimensional figure while the concept of {faces, vertices and edges} is relevant to 3-dimensional shapes.
How many vertices edges faces does a trapezium?
A trapezium has 4 vertices and 4 edges or sides. It is a two dimensional figure so it has only one "face".
Which three dimensional figure has 6 square faces 12 edges and 8 vertices?
It is a cube.
What other three-dimensional figure has 6 faces 12 edges and 8 vertices?
A cube
How many faces vertices edges does have a hexagon?
A hexagon is a plane (2-dimensional) figure with 1 face, 6 vertices and 6 sides (which may be called edges).
How many faces vertices edges does a rhombus?
A rhombus is a two dimensional figure while the concept of {faces, vertices and edges} is relevant to 3-dimensional shapes.
What dimensional figure has 8 vertices and 12 edges?
A rectangular prism and a cube! :)
What is a 3-dimensional figure has 8 vertices and 12 edges?
A rectangular prism.
What 3 dimensional figure has 12 edges and 8 vertices?
A rectangular prism and a cube! :)
How many vertices edges faces does a trapezium?
A trapezium has 4 vertices and 4 edges or sides. It is a two dimensional figure so it has only one "face".
What is edges on a three dimensional figure?
It is the intersection of two planes or the line joining two vertices.
Which three dimensional figure has 6 square faces 12 edges and 8 vertices?
It is a cube.
What other three-dimensional figure has 6 faces 12 edges and 8 vertices?
A cube
How many faces vertices edges does have a hexagon?
A hexagon is a plane (2-dimensional) figure with 1 face, 6 vertices and 6 sides (which may be called edges).
What three dimensional figure has 5 faces 6 vertices and 9 edges?
Triangular Prism Triangular Prism 5 faces, 9 edges 6 vertices
How many faces edges and vertices does an octagon have?
An octagon is a 2-dimensional (flat) figure, with 8 sides and 8 vertices.
Name a three dimensional figure that has equal numbers of faces equal number of edges and equal number of vertices?
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.
