Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell 1

What is a Tessellation? 2

The graphic artist M.C. Escher (1898 – 1972) was intrigued with the idea of creating a single shape that could be copied and then used to cover a surface without any gaps or overlaps. These coverings or tilings of the plane are called TESSELLATIONS. 3

M.C. Escher 4

M.C. Escher Creations mples_of_tessellations.htm mples_of_tessellations.htm 5

Explore Shapes that Tile the Plane 6

Interactive Pattern Blocks 7

Moves Used to Make the Tilings 8

Transformations Translation 9

Nibbling 10

Simple Translation Tessellation Polygon should have opposite sides that are parallel and congruent. squares hexagons parallelograms 11

Transformations Reflection 12

Glide Reflection Tessellation Polygon should have opposite sides that are parallel and congruent. squares hexagons parallelograms 13

Transformations Rotation 14

Rotational Tessellation Adjacent sides must be congruent. squares triangles hexagons parallelograms 15

Now You Can Make Your Electronic Tessellation Using Pattern Blocks 16

Now You Can Make Your Electronic Tessellation Using Microsoft Paint ft_paintbrush.htm 17