Difference between revisions of "Polygon"
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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. | ||
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 | + | # 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]] - | + | # [[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]] - | + | # [[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. |
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 02:08, April 19, 2007
A polygon is a union of disjoint line segments that is path-connected.
A polygon is described as "regular" if all its sides and their included angles are equal.
Types, by number of sides.
- 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 segments.)
- Triangle - three sided, see isosceles triangle, equilateral triangle, right triangle
- Quadrilateral - four sided, see also square, rectangle, rhombus, and trapezoid
- Pentagon - five sided. The most famous one houses the Department of Defense.
- Hexagon - six sided, the shape of a bee hive cell, also used in some board games
- Heptagon - seven sided. Some coins have been been heptagonal.
- Octagon - eight sided, used for stop signs in the U.S.
