TESSELLATION

Definition

• A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.

• The word "tessellate" is derived from the Ionic version of the Greek word "tesseres," which in English means "four."

• A Tessellation is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions.

• Some special kinds of tessellations include regular, with tiles all of the same shape; semi-regular, with tiles of more than one shape; and aperiodic tiling's, which use tiles that cannot form a repeating pattern. The patterns formed by periodic tiling's can be categorized into 17 wallpaper groups.

There are only three regular polygons tessellate in the Euclidean plane: triangles, squares or hexagons.Here are some of the example:

tessellation of triangles :

tessellation of squares :

tessellation of hexagons :

STENCIL

HISTORYStencil paintings of hands were common throughout the prehistoric period. Stencils may have been used to colour cloth for a very long time; the technique probably reached its peak of sophistication in Katazome and other techniques used on silks for clothes during the Edo period in Japan. In Europe, from about 1450 they were commonly used to colour old master prints printed in black and white, usually woodcuts. This was especially the case with playing-cards, which continued to be coloured by stencil long after most other subjects for prints were left in black and white. Stencils were used for mass publications, as the type didn't have to be hand-written.

Example ofStenciling on fabric

Example ofStenciling onwood

Example ofStenciling on wall