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What is the difference between a polyhedron and a non polyhedron?
A polyhedron is a three-dimensional solid with flat faces, straight edges, and sharp corners, while a non-polyhedron does not have these characteristics. Polyhedra are made up of polygons that enclose a single region of space, while non-polyhedra may have curved faces or intersecting edges. In mathematical terms, a polyhedron satisfies Euler's formula (V - E + F = 2), where V is the number of vertices, E is the number of edges, and F is the number of faces, while a non-polyhedron does not.
Base of a polyhedron?
it is a term for a face , its different for all, if the polyhedron is based off a 2d polygon, it is the side with that shape(usualy)(their may be more than one)
How may edges does a square pyramid have?
There's no such thing as a square pyramid, it's not possible. * * * * * A square pyramid refers to a square based pyramid. And that has 8 edges.
What is the opposite of least?
The opposite of least is usually most. It may also be highest, greatest, or best.
What is the least 3- digit number?
100 This depends on what you mean by "least". The simple answer is that above, 100. Mathematicians may say that the least number is -999.
What is the least number of edges that a polyhedron may have?
8
What is the difference between a polyhedron and a non polyhedron?
A polyhedron is a three-dimensional solid with flat faces, straight edges, and sharp corners, while a non-polyhedron does not have these characteristics. Polyhedra are made up of polygons that enclose a single region of space, while non-polyhedra may have curved faces or intersecting edges. In mathematical terms, a polyhedron satisfies Euler's formula (V - E + F = 2), where V is the number of vertices, E is the number of edges, and F is the number of faces, while a non-polyhedron does not.
What is a polyhedron and a prism combined?
It is still a polyhedron. It may or may not still be a prism.
What is the highest vertex of a polyhedron?
It may be called an apex, but that is really only appropriate for a simple convex polyhedron.
How do you verify Euler's theorem?
If a planar graph G is drawn in the plane, so that no two edges cross, the plane is divided into a number of regions which may be called "faces". Euler's Theorem (for planar graphs): Let G be a connected planar graph drwawn in the plane. If there are v vertices, e edges, and f faces, then v - e + f = 2. An application of this theorem gives Euler's Theorem for polyhedra.Euler's Theorem (for polyhedra): If a convex polyhedron has v vertices, e edges, and f faces, then v - e + f = 2 For particular polyhedra is easy to confirm the result stated in theorem. For example, a cube has 8 vertices (v = 8), 12 edges (e = 12), and 4 faces (f = 4) So, v - e + f = 8 - 12 + 4 = 2.A tetrahedrom has v = 4, e = 6, and f = 4. So, v - e + f = 4 - 6 + 4 = 2. Look at this site to understand better (you can see pictures there).http://www.ics.uci.edu/~eppstein/junkyard/euler/ Euler formula: for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges. Symbolically V-E+F=2 The polyhedron formula, of course, can be generalized in many important ways, some using methods described below. One important generalization is to planar graphs. To form a planar graph from a polyhedron, place a light source near one face of the polyhedron, and a plane on the other side. The shadows of the polyhedron edges form a planar graph, embedded in such a way that the edges are straight line segments. The faces of the polyhedron correspond to convex polygons that are faces of the embedding. The face nearest the light source corresponds to the outside face of the embedding, which is also convex. Conversely, any planar graph with certain connectivity properties comes from a polyhedron in this way.You can see here that there are 8 vertices, 14 edges, and 8 faces. So,v - e + f = 8 - 14 + 8 = 2 Look at this site also.http://www.highpointsmath.com/SiteMap/Polyhedron.htmlPolyhedron * A polyhedron is a space figure each of whose faces is a polygon. * In other words, a polyhedron is a solid shape whose faces are all polygons. * Cubes, prisms, and pyramids are polyhedra. More about Polyhedron * A regular polyhedron is a polyhedron in which all faces are regular polygons of the same shape and size. Name the polyhedron that has 4 faces, 6 edges, and 4 vertices. Choices: A. hexahedron B. cone C. tetrahedron D. octahedron Correct Answer: C Solution: Step 1:A tetrahedron or a triangular pyramid is a pyramid with a triangular base.Step 2: The net of a tetrahedron that can be folded and joined to form a tetrahedron is as shown.Step 3:The points 2, 3, and 4 forms the base, and the sides join at point 1 to form a pyramid. Step 4: There are 4 faces, 6 edges, and 4 vertices in a tetrahedron. Step 5: So, tetrahedron is a polyhedron that has 4 faces, 6 edges, and 4 vertices.
What is the shape that has the highest amount of faces?
Since you use the term "faces" of a shape, you may be referring to polyhedra,which are three dimensional solids. There is no maximum number of faces a polyhedron can have. But for regular polyhedra (a special case where all faces are congruent regular polygons), the regular polyhedron with the most faces is the icosahedron, which has 20 faces, each of them an equilateral triangle. The most familiar regular polyhedron is the cube which has six square faces.
Base of a polyhedron?
it is a term for a face , its different for all, if the polyhedron is based off a 2d polygon, it is the side with that shape(usualy)(their may be more than one)
How may edges in triangular pyramid?
there are 6 edges
What do you call a polyhedron with 10 triangular faces?
In general, any 10-sided polyhedron is called a decahedron. With 10 regular triangles for faces, you may have a pentagonal bipyramid.
How may edges does a sphere have?
Spheres don't have any edges.
How can you find the surface area of a polyhedron?
Add up the surface area of each of the polygonal faces. There may be a short cut available if it is a regular polyhedron so that all the polygons are the same.
How may edges does a hexagon have have?
A 6 sided hexagon has 6 sides but no edges
