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]].
  
Examples:
+
Types, by number of sides.
# no one's figured out how to make a one-sided polygon, but see [[Mobius strip]] and [[Klein bottle]]
+
# 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.

  1. There is no such mathematical entity as a one sided polygon in a plane. (For three dimensional analogies, see Mobius strip and Klein bottle.)
  2. As with the one-sided polygon, there is no such thing as a two-sided polygon. (This would be two overlapping line segments.)
  3. Triangle - see isosceles triangle, equilateral triangle, right triangle
  4. Square - a rectangle whose sides are all the same length
  5. Pentagon
  6. Hexagon - the shape of a bee hive cell, also used in some board games
  7. Heptagon - not commonly encountered in everyday life
  8. Octagon - used for stop signs in the U.S.