You can find a polyhedron with any number greater than 4 of vertices or faces.
However, a torus, ellipsoid, sphere, paraboloid, hyperboloid are all standard shapes with no vertices. Cylinders, too, have no vertices. And there are many completely random shapes - a lump of putty, for example, which will have no vertex.
A cylinder and a cone - are two entirely different 3D shapes. A cylinder has three faces & two edges. A cone has two faces and one edge.
There are infinitely many shapes that do.
The rule applies to POLYHEDRA (3D shapes) not Polygons, which are 2D Faces + Vertices - Edges = 2
A solid cone has 2 faces and 1 edge
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
A cube has 6 faces
sphere
A triangular prism, which has 6 vertices and 5 faces.
There is no 3d shape made up of octagons. An octahedron can be one of several different shapes - but without ANY octagonal faces. For example, A hexagonal pyramid (8 faces, 18 edges, 12 vertices) A heptagonal pyramid (8 faces, 14 edges, 8 vertices) A quadrilateral dipyramid (8 faces, 12 edges, 6 vertices)
There are an infinite number of 3d shapes. For example you can have an infinite number of prisms with ends that are triangular, quadrilateral, or in the shape of any polygon.
For two dimensional shapes, a vertex (plural vertices) is a point where two sides meet.For 3D shapes, a vertex is a point where three or more faces meet.
According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.
no. a 2d square has only 1 face but a 3d square (cube) has 6 faces.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
A cylinder and a cone - are two entirely different 3D shapes. A cylinder has three faces & two edges. A cone has two faces and one edge.
There are infinitely many shapes that do.
faces = 1edges = 0 vertices = 0