Using Euler's Polyhedron formula V+F-E=2, given
F=14 and E=24, we have V=12.
The polyhedron has 12 vertices.
This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
It has 6 vertices.
If the object is a convex polyhedron, then, by Euler's characteristics, it should have 23 faces.
There is no such convex polyhedron in normal geometries because it does not satisfy the Euler characteristic. That requires that Faces + Vertices = Edges + 2
The numbers in the question do not satisfy the Euler characteristic so there cannot be such a [convex] polyhedron.
I believe you intend to talk about a polyhedron if it is a convex polyhedron, there is a relation : F + V * E = 2 (you can experiment with current polyhedrons) the relation is not satisfied by your numbers
It has 6 vertices.
If the object is a convex polyhedron, then, by Euler's characteristics, it should have 23 faces.
There is no such convex polyhedron in normal geometries because it does not satisfy the Euler characteristic. That requires that Faces + Vertices = Edges + 2
A 20-sided polyhedron is called an icosahedron. It has 20 equilateral triangle faces, 30 edges, and 12 vertices. It is a regular convex polyhedron with rotational symmetry.
A polyhedron has 30 edges and 12 vertices. How many faces does it have
No, F + V = E + 2That's Euler's polyhedron formula (or Theorem). For a normal 3-d polyhedron to exist it must conform to that equation.
A tetradecachedron is a polyhedron, also known as a 14-sided polyhedron or 14-faced polyhedron. It is a convex solid with 14 faces, 24 edges, and 14 vertices. The term "tetradecachedron" can refer to any 14-faced polyhedron, not necessarily a specific shape.
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
The numbers in the question do not satisfy the Euler characteristic so there cannot be such a [convex] polyhedron.
I believe you intend to talk about a polyhedron if it is a convex polyhedron, there is a relation : F + V * E = 2 (you can experiment with current polyhedrons) the relation is not satisfied by your numbers
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.
A polyhedron with 12 faces.