TESSELLATIONS INTRODUCTION TESSELLATIONS SHAPES WHICH FIT TOGETHER LEAVING

TESSELLATIONS INTRODUCTION TESSELLATIONS SHAPES WHICH FIT TOGETHER LEAVING NO GAPS AND NOT OVERLAPPING OCCUR ALL AROUND US IN THE REAL WORLD

INTRODUCTION MC ESCHER DEVELOPED TESSELLATING SHAPES AS AN ART FORM BORN IN 1898 IN LEEUWARDEN, HOLLAND

Creative Thinker Effective Participator PLT Skills Independent Enquirer Reflective Learner TESSELLATIONS Self Manager Team Worker Which ones are you using? INTRODUCTION MC ESCHER BY DISTORTING BASIC SHAPES HE CHANGED THEM INTO ANIMALS, BIRDS AND OTHER FIGURES

Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you TESSELLATIONS PLT Skills using? HOW TO MAKE AN ESCHERESQUE TESSELLATION STEP 1 STEP 2 Begin with a simple shape Change the shape of one side STEP 3 Copy this line on the opposite side STEP 4 Rotate the line and repeat it on the remaining edges STEP 5 STEP 6 STEP 7 Erase the original shape (square) Add lines inside the shape to make a picture Add colour to enhance your picture

Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you TESSELLATIONS PLT Skills using? HOW TO MAKE AN ESCHERESQUE TESSELLATION

What shapes are used to make up the honeycomb? Can these shapes be arranged so that there are no gaps between them?

What does this have to do with tessellations? A regular tessellation is a repeating pattern of a regular polygon, which fits together exactly, leaving NO GAPS. So the bees honeycomb… is a regular tessellation of hexagons

Equilateral Triangles: Do tessellate

Squares: Do tessellate

Regular Pentagons: Don’t tessellate

Regular Hexagons: Do tessellate

Regular Octagons: Don’t tessellate: