Polygons

polygon mosaic
A polygon is a plane shape with straight sides.

Is it a Polygon?

Polygons are ii-dimensional shapes. They are made of direct lines, and the shape is "closed" (all the lines connect up).

Polygon comes from Greek. Poly- means "many" and -gon means "angle".

Types of Polygons

Regular or Irregular

A regular polygon has all angles equal and all sides equal, otherwise it is irregular

Concave or Convex

A convex polygon has no angles pointing inwards. More precisely, no internal bending tin can be more than than 180°.

If whatsoever internal angle is greater than 180° then the polygon is concave. (Think: concave has a "cave" in it)

Unproblematic or Complex

A simple polygon has only i boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules most polygons don't work when it is complex.

More Examples

hexagon irregular concave octagon star polygon
Irregular Hexagon Concave Octagon

Complex Polygon
(a "star polygon",
in this case a pentagram)

polygons interactive

Play With Them!

Try Interactive Polygons ... make them regular, concave or circuitous.

Names of Polygons

You tin make names using this method:

Sides

Outset with...

20

Icosi...

thirty

Triaconta...

xl

Tetraconta...

50

Pentaconta...

60

Hexaconta...

70

Heptaconta...

fourscore

Octaconta...

xc

Enneaconta...
100 Hecta...
etc..

right arrow

Sides

...cease with

+ane

...henagon

+ii

...digon

+3

...trigon

+4

...tetragon

+five

...pentagon

+half dozen

...hexagon

+7

...heptagon

+eight

...octagon

+ix

...enneagon

Example: a 62-sided polygon is a Hexacontadigon

Simply, for polygons with thirteen or more sides, it is OK (and easier) to write "13-gon", "14-gon" ... "100-gon", etc.

Remembering

Quadrilateral (4 Sides)

quad bike
A Quad Wheel has 4 wheels

Pentagon (5 Sides)

pentagon building
The "Pentagon" in Washington DC has 5 sides

Hexagon (6 Sides)

honeycomb
Honeycomb has Hexagons

Septagon (7 Sides)

Retrieve Septagon is a "Vii-agon"

Octagon (viii Sides)

octopus
An Octopus has eight tentacles

Nonagon (9 Sides)

Think Nonagon is a "Nine-agon"

Decagon (10 Sides)

Think Decagon has 10 sides,
just like our Decemberimal system has x digits