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Jackrell
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The two dimensional regular polygon series, the triangle, square, square, pentagon etc. is infinite. If for some reason, it was finite, what would our universe become? especially the dimensions of length and breadth.
You assume that space is physically continuous. This is not a given. There are quantum space-time theories as well as continuous space-time theories. Math can handle both.Jackrell said:Why are the dimensions of length and breadth continuous?"
Jackrell said:I guess my question should be - Why are the dimensions of length and breadth continuous?"
Jackrell said:That is exactly my point. if geometry were changed so that the number of regular polygons was finite, is there any way to know what the result would be?
A two dimensional regular polygon is a flat shape that has straight edges and all angles are equal. It is made up of straight lines that connect to form a closed shape with a fixed number of sides.
The number of sides in a two dimensional regular polygon can vary, but it must have at least three sides. Some examples of two dimensional regular polygons are triangles (3 sides), squares (4 sides), pentagons (5 sides), and hexagons (6 sides).
The formula for finding the interior angles of a two dimensional regular polygon is (n-2) * 180 degrees, where n is the number of sides in the polygon. For example, a hexagon has 6 sides, so the formula would be (6-2) * 180 = 720 degrees.
To find the perimeter of a two dimensional regular polygon, you can simply add up the length of all the sides. If you know the length of one side (s), you can use the formula P = ns, where n is the number of sides in the polygon.
Some real-life examples of two dimensional regular polygons include stop signs (octagons), pizza slices (triangles), and floor tiles (squares). Regular polygons are also commonly found in architecture, such as in the design of buildings and bridges.