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]]. | ||
− | + | Types, by number of sides. | |
− | # no | + | # There is no such mathematical entity as a one sided polygon in a plane. (For three dimensional analogies, see [[Mobius strip]] and [[Klein bottle]].) |
− | # 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]] - see [[isosceles triangle]], [[equilateral triangle]], [[right triangle]] | ||
# [[Square]] - a [[rectangle]] whose sides are all the same length | # [[Square]] - a [[rectangle]] whose sides are all the same length |
Revision as of 20:41, April 18, 2007
A polygon is a union of disjoint line segments that is path-connected.
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.)
- As with the one-sided polygon, there is no such thing as a two-sided polygon. (This would be two overlapping line segments.)
- Triangle - see isosceles triangle, equilateral triangle, right triangle
- Square - a rectangle whose sides are all the same length
- Pentagon
- Hexagon - the shape of a bee hive cell, also used in some board games
- Heptagon - not commonly encountered in everyday life
- Octagon - used for stop signs in the U.S.