Difference between revisions of "Polygon"

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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 higher 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]].)

Revision as of 23:48, April 30, 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.

  1. There is no such mathematical entity as a one sided polygon in a plane. (For higher 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 - three sided, see isosceles triangle, equilateral triangle, right triangle
  4. Quadrilateral - four sided, see also square, rectangle, rhombus, and trapezoid
  5. Pentagon - five sided. The most famous one houses the Department of Defense.
  6. Hexagon - six sided, the shape of a bee hive cell, also used in some board games
  7. Heptagon - seven sided. Some coins have been been heptagonal.
  8. Octagon - eight sided, used for stop signs in the U.S.