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Not so! The relationship was actually found by Leonhard Euler, who lived in the 18th Century!
Plus, your spellings leave something to be desired:
Vertices (not vertics)
Icosahedron (not icosahydron).
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How many edges does a gemstone with 10 faces and 12 vertices have?
Euler can help you answer this question. Euler's formula says number of faces plus number of vertices minus the number of edges equal 2. In symbols we write F+V-E=2. So in this case we have 10+12-E=2 So E=20 and there are twenty edges.
What shape has 9 faces 9 vertices 16 edges?
All shapes that are 3-dimensional and closed are called polyhedrons. Polyhedron in greek decomposes into 'many faces.' The naming convention is to append -'hedron' to a greek prefix denoting the number of faces. Therefore any shape with nine faces will be a nonahedron.In order to factor in the faces and edges systematically would require graph theory, because they depend on what shape each of the faces is and the organization of the arrangement.Assuming:you don't want to learn graph theory, andthe polyhedron has a realitively simple geometryGoogle can help. Googling 'nonahedron' yields, among others, a polyhedron called an elongated square pyramid, which can be constructed by placing a square pyramid atop a cube (think of a house, where the roof comes to a single point). The square pyramid has 5 sides, the cube has 6, however one of each is removed when they are joined so the shape is a nonahedron(5+6-2=9). Similarly, the square pyramid has 5 vertices/8 edges and the cube has 8 vertices/12 edges with 4 edges/4 vertices shared; therefore the composite shape has 9 vertices (5+8-4=9) and 16 edges (12+8-4=16).* * * * *All that is very interesting but avoids giving the simple answer which is an octagon based pyramid.
A pyramid has 16 edges how many vertices does it have?
Well, isn't that a happy little question! If a pyramid has 16 edges, it means it has 8 vertices. Each vertex is where three edges meet, creating a pointy little tip that helps the pyramid stand tall and proud. Just like when you add a touch of white paint to brighten up a mountain peak, knowing the vertices of a pyramid can help bring balance and harmony to your geometric creations.
What shape has two edges and no vertices?
Any time we connect two edges we create a vertex. The only way a shape can have two edges and no vertices is if the edges are disconnected. For example, two parallel lines is two edges and no vertices. If you are thinking of polygons, we need at least 3 edges and they must be connected. So the answer to your question is really there is not shape that fits this description if we restrict ourselves to planar closed figures. The above is true for polyhedra. However, a cylinder meets the requirements if we consider the case where an edge is defined in such a way that a cylinder has two of them. The word "if" is there because sometimes, an edge is required to be straight. In that case a cylinder has none. However, many texts are not precise about how they define and edge and in this case we have no definition at all. So it is important to point out that the answer is a cylinder or nothing depending on your edge definition. If we use the definition of an edge as boundary between smooth surfaces making up an object, then a cylinder has two edges. There are similar issues with the term vertex and how it is used in general language, in toplogy and in graph theory. For this question, I think a good answer is a cylinder is the edges and vertex are appropriately defined. The link will help with more details for those interested.
What is another name for the corner of a shape?
The corner on a shape where edges meet is called a vertex.
