Tessellation

Tessellation

Define tessellation:

An arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping.

This is a picture of triangles and hexagons.  If you see the triangles that have no colour, they are still part of the picture and they are not gaps.  

The difference between a regular pentagon and a irregular pentagon

A polygon can have a certain number of sides, but the sides do not necessarily have to be the same length. Both of the polygons below are pentagons because they both have five angles and sides, but look at the differences.

Regular polygon A polygon is regular when all angles are equal and all sides are equal.

Irregular polygon A polygon that does not have all sides equal and all angles equal.

Salzman, L., (1990).  Cool Tessellations.  Creative activities that make math and science fun for kids!  P6-7)

Tessellation

Tessellation picture	Information of tessellation
	The shapes must fit together without any gaps The shapes should not overlap a tessellation of triangles A tessellation is a regular pattern made up of flat shapes repeated and joined together without any gaps or overlaps.

Reference:
Definition of tessellation	https://www.google.co.nz/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8&safe=active&ssui=on#safe=strict q=define+tessellation
picture of triangles and hexagons	https://www.google.co.nz/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8&safe=active&ssui=on#safe=strict&q=picture+of+triangles+and+hexagon
The difference between a regular pentagon and a irregular pentagon	http://www.ck12.org/Geometry/Regular-and-Irregular-Polygons/lesson/Regular-and-Irregular-Polygons/
Tessellation	http://mathforum.org/sum95/suzanne/whattess.html