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What polyhedron have some a face but no edges and no vertices?
A polyhedron must have at least 4 faces, at least 4 vertices and at least 6 edges.
Why cant you build a polyhedron with different number of faces that also has th 4 vertices and 6 edges?
Because the Euler characteristic establishes the rule that for all simply connected polyhedra, Faces + Vertices = Edges + 2 Vertices = 4 and Edges = 6 implies that Faces + 4 = 6 + 2 = 8 so that Faces = 4. So there is only one such polyhedron.
4 faces 6 edges 6 vertices?
The above numbers do not satisfy the Euler characteristic (Faces + Vertices = Edges + 2) and so it is not a simply connected polyhedron.
What has 4 faces 9 edges 6 vertices?
There is no such convex polyhedron in normal geometries because it does not satisfy the Euler characteristic. That requires that Faces + Vertices = Edges + 2
How many edges faces and corners does a tetrahedron?
A tetrahedron has 4 faces, 6 edges, and 4 corners (or vertices). Each face is a triangle, and the shape is the simplest form of a polyhedron. The vertices are connected by edges, which define the triangular faces.
How many faces and edges does a 3d polyhedron have?
The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that: Faces + Vertices = Edges + 2.
What has 5 faces 6 edges and 4 vertices?
No regular polyhedron can have these qualities: F + V - E must equal 2. - a three-sided pyramid has 4 faces, 6 edges, and 4 vertices. - a four-sided pyramid has 5 faces, 8 edges, and 5 vertices
How many faces edges and vertices does a rombus have?
2 faces, 4 edges, and 4 vertices 2 faces, 4 edges, and 4 vertices
How many faces edges vertices does a tetrahedron have?
4 faces, 6 edges, 4 verticesFour faces, six edges and four vertices.
How many vertices edges faces does a polyhedra have?
A polyhedron is a generic term for 3 dimensional objects which are bounded by polygonal faces. They can have 4 or more vertices, 6 or more edges and 4 or more faces. The numbers of vertices (V), edges (E) and faces (F) must also satisfy the Euler characteristic: F + V = E + 2.
What has 4 vertices edges and 4 faces?
A geometric shape with 4 vertices, 4 edges, and 4 faces is a tetrahedron. It is a type of polyhedron that is formed by connecting four triangular faces. Each vertex connects to three edges, and the arrangement of the faces creates a three-dimensional solid. Tetrahedrons are one of the simplest forms of three-dimensional shapes.
How many faces edges and vertices does a sqare have?
Faces=1 Edges=4 Vertices=4
