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Subjects>Math>Math & Arithmetic

Why do polygons fit together to cover a flat surface?

Anonymous

∙ 14y ago

Updated: 12/13/2022

Only when they tessellate.

Wiki User

∙ 14y ago

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Q: Why do polygons fit together to cover a flat surface?

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Which regular polygons will fit together to tile a flat surface?

Triangles, squares and hexagons. That is if they all have to be the same. If you use different regular polygons, you can tile a flat surface with triangles and 12-sides or with squares and 8-sides for example.

Why is the shape of a football not a polygon?

A football has a curved surface and polygons are flat. You can approximate a curved surface quite well if you use enough polygons but each polygon will still be flat and a football does have a curved (and rough) surface. Using a few thousand polygons you can create an approximation of a football with stitching seams and every detail but you will not have a curved surface you will have an approximation of a curved surface.

How many polygons does a cone have?

None. A cone is a surface of revolution and thus it has no flat sides. Polygons are planar figures. A cone has no planar faces.

Are the faces of a polyhedron all flat surfaces?

Yes and its flat surface faces are in regular shapes.

How many dimensions does a flat shape have?

Flat shapes such as polygons are two-dimensional.

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