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What does vertex mean for all 3D shapes?
They are points where three or more edges meet.
How many edges meet at each vortex and does this happen to all polyhedrons?
A vortex is a form of rotating fluid flow: for example a whirlpool. A vertex, on the other hand, is a point where lines meet. There can be two or more lines meeting at a vertex: there is no limit to how many. For example, the apex of a pyramid whose base is a polygon with n-sides, will be a vertex where n edges meet (for any integer n).
How many edges of all the polyhedrons meet at each vertex?
The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.
What is same about a cube and a cuboid?
They have 8 vertices, 12 edges and 6 faces. All edges meet at right angles. All faces meet at right angles. Every face is a rectangle (a square is a rectangle). The three vertex-to-opposite-vertex diagonals meet at a point which is the centre of gravity. This point bisects the diagonals.
What are characteristics of non polygons?
it has a number of faces, vertex and edges -- The angles are not all the same
Do all polyhedrons have 2 edges that meet at each vertex?
No. For example, a cube is a polyhedron and 3 edges meet at each vertex.
What does vertex mean for all 3D shapes?
They are points where three or more edges meet.
How many edges meet at each vortex and does this happen to all polyhedrons?
A vortex is a form of rotating fluid flow: for example a whirlpool. A vertex, on the other hand, is a point where lines meet. There can be two or more lines meeting at a vertex: there is no limit to how many. For example, the apex of a pyramid whose base is a polygon with n-sides, will be a vertex where n edges meet (for any integer n).
How many edges of all the polyhedrons meet at each vertex?
The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.The answer will depend on the polyhedron, but often it is 3.
How many edges does a retuaglaur prism have?
Try to picture a rectangular prism.An edge, first of all, is the line from a vertex to a vertex. The top has 4 edges and the bottom has 4. Then the connecting 4 edges, which is a total of 12 edges.
What three dimensional figure only contain a polygon?
...All polyhedrons
How can the vertex cover problem be reduced to the set cover problem?
The vertex cover problem can be reduced to the set cover problem by representing each vertex in the graph as a set of edges incident to that vertex. This transformation allows us to find a minimum set of sets that cover all the edges in the graph, which is equivalent to finding a minimum set of vertices that cover all the edges in the graph.
Do all polyhedrons have more edges than vertexes?
Yes. to add to that a vertex must be connected to at least 3 edges to be 3d, an edge is always connected to 2 vertexes, so the closest the two can ever be is vetexes x 3 = edges x 2, but when working with any platonic solid you can follow this: vertexes x (faces / vertexes) x [edges on one side] = edges x 2 or vertexes x [faces meeting at one vertex] = edges x 2 when working with any other polyhedron [vertexes with x amount of faces] x (x) + [vertexes with y amount of faces] x (y) ...{and so on} = edges x 2
What is same about a cube and a cuboid?
They have 8 vertices, 12 edges and 6 faces. All edges meet at right angles. All faces meet at right angles. Every face is a rectangle (a square is a rectangle). The three vertex-to-opposite-vertex diagonals meet at a point which is the centre of gravity. This point bisects the diagonals.
What are characteristics of non polygons?
it has a number of faces, vertex and edges -- The angles are not all the same
What is the difference between a polyhedron and a regular polyhedron?
A Polyhedron is a closed plane figure whose faces are portions of planes. Prisms and pyramids are examples of Polyhedron's. While a Regular Polyhedron is a Polyhedron whose facces are all regular Polygons and whose Vertices are all alike. There are only five Regular Polyhedron's: Tetahedron , Octahedron , Icosahedron , Hexahedron , and Dodecahedron .To clarify, there are five known Platonic Solids: regular polyhedrons which are convex on all their vertices.The tetrahedron is also known as the triangular pyramid: a regular one has an identical equilateral triangle for each of its four faces. This is the one Platonic solid which is self-dual, as each face has three sides and each vertex joins three edges.The regular hexahedron is better known as the cube: each of its six faces is a square, and each vertex joins three edges. Its dual counterpart is the regular octahedron. In this case, each of its eight faces is three-sides (an equilateral triangle) and each vertex joins four edges. To picture the octahedron, think two square pyramids mated on their square faces, leaving only the triangular faces.Finally, there is the regular dodecahedron (12 faces), which is composed of regular pentagons (five sides). Each vertex again joins three edges. Its dual counterpart is the regular icosahedron. It has 20 triangular faces, and each vertex joins five edges.
Is a vertex where2 faces of a 3-d shape meet?
All in the world a vertex is, is a corner (or where the edges meet) of any shape...not just 3d but of course it can be:)
