Minggu, 26 Februari 2012

Polygons

Polygons

A polygon is a plane shape with straight sides.

Is it a Polygon?

Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up).
Polygon
(straight sides)
Not a Polygon
(has a curve)
Not a Polygon
(open, not closed)
Polygon comes from Greek. Poly- means "many" and -gon means "angle".

Types of Polygons

Simple or Complex

simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself!

Simple Polygon
(this one's a Pentagon)
Complex Polygon
(also a Pentagon)

Concave or Convex

convex polygon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.
If there are any internal angles greater than 180° then it is concave. (Think: concave has a "cave" in it)
ConvexConcave

Regular or Irregular

If all angles are equal and all sides are equal, then it is regular, otherwise it is irregular
RegularIrregular

More Examples

Complex Polygon
(a "star polygon", in
this case, a pentagram)
Concave Octagon
Irregular Hexagon

Names of Polygons

  If it is a Regular Polygon...
NameSidesShapeInterior Angle
Triangle (or Trigon)360°
Quadrilateral (or Tetragon)490°
Pentagon5108°
Hexagon6120°
Heptagon (or Septagon)7128.571°
Octagon8135°
Nonagon (or Enneagon)9140°
Decagon10144°
Hendecagon (or Undecagon)11147.273°
Dodecagon12150°
Triskaidecagon13 152.308°
Tetrakaidecagon14 154.286°
Pentadecagon15 156°
Hexakaidecagon16 157.5°
Heptadecagon17 158.824°
Octakaidecagon18 160°
Enneadecagon19 161.053°
Icosagon20 162°
Triacontagon30 168°
Tetracontagon40 171°
Pentacontagon50 172.8°
Hexacontagon60 174°
Heptacontagon70 174.857°
Octacontagon80 175.5°
Enneacontagon90 176°
Hectagon100 176.4°
Chiliagon1,000 179.64°
Myriagon10,000 179.964°
Megagon1,000,000 ~180°
Googolgon10100 ~180°
n-gonn(n-2) × 180° / n
Sumber :  http://www.mathsisfun.com/geometry/polygons.html

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