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| | A polygon is a union of disjoint [[line segment]]s that is [[path-connected]]. | | A polygon is a union of disjoint [[line segment]]s that is [[path-connected]]. |
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| | + | A polygon is described as "regular" if all its sides and their included angles are equal. |
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| | Types, by number of sides. | | Types, by number of sides. |
| − | # There is no such mathematical entity as a one sided polygon in a plane. (For three dimensional analogies, see [[Mobius strip]] and [[Klein bottle]].) | + | # There is no such mathematical entity as a one sided polygon in a plane. (For higher dimensional analogies, see [[Mobius strip]] and [[Klein bottle]].) |
| | # As with the one-sided polygon, there is no such thing as a two-sided polygon. (This would be two overlapping [[line segment]]s.) | | # As with the one-sided polygon, there is no such thing as a two-sided polygon. (This would be two overlapping [[line segment]]s.) |
| − | # [[Triangle]] - see [[isosceles triangle]], [[equilateral triangle]], [[right triangle]] | + | # [[Triangle]] - three sided, see [[isosceles triangle]], [[equilateral triangle]], [[right triangle]] |
| − | # [[Quadrilateral]] - See also [[square]], [[rectangle]], [[rhombus]], and [[trapezoid]] | + | # [[Quadrilateral]] - four sided, see also [[square]], [[rectangle]], [[rhombus]], and [[trapezoid]] |
| − | # [[pentagon (geometry)|Pentagon]] | + | # [[pentagon (geometry)|Pentagon]] - five sided. The most famous one houses the [[Department of Defense]]. |
| − | # [[Hexagon]] - the shape of a bee hive cell, also used in some board games | + | # [[Hexagon]] - six sided, the shape of a bee hive cell, also used in some board games |
| − | # [[Heptagon]] - not commonly encountered in everyday life | + | # [[Heptagon]] - seven sided. Some coins have been been heptagonal. |
| − | # [[Octagon]] - used for [[stop sign]]s in the U.S. | + | # [[Octagon]] - eight sided, used for [[stop sign]]s in the U.S. |
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| | [[Category:Geometry]] | | [[Category:Geometry]] |