m. c. escher 1898 - 1972. born in the netherlands

M. C. Escher1898 - 1972

Born in the Netherlands

Escher was a Dutch graphic artist

Today a graphic artist is also known as a GRAPHIC DESIGNER.

A Graphic Artist creates the graphics for…

Published materials

A Graphic Artist creates the graphics for…

Published materials

Printed Materials

Electronic Media - Internet

Movies

Brochures

Advertising

Escher’s Works

• WOODCUTS– Illustrations produced when the original

printing plate was engraved on a block of wood.

– This was one of the oldest methods of printing, dating back to the 8th century China.

“Relativity”

Ants Mobius Strip

A Woodcut Self Portrait

Escher’s Works

• Woodcuts

• LITHOGRAPHS

– A method for printing on a smooth surface.

– It can be used to print text or artwork onto paper or another suitable material.

“Drawing Hands”

“Waterfall”

Escher’s Works

• Woodcuts

• Lithographs

• IMPOSSIBLE CONSTRUCTIONS

Tribar

Another Tribar

TessellationA tessellation is a collection of polygons that fit together to cover a flat surface with no overlaps and no gaps

Rhombus, Triangle, Trapezoid creating a TESSELLATION

Squares making a TESSELLATION

Hexagons or Rhombus? They create a TESSELLATION

We Can Make a

Tessellation

We will need….

A Polygonal Shape

Pencil

Paper

Scissors

Tape

Imagination

TESSELLATIONS Using Pattern Blocks

Take some Squares

Put them together so they touch side to side

A Tessellation made of Squares

Take some Triangles

Put them together so they touch side to side

A Tessellation made of Triangles

A Tessellation made of Hexagons

A Tessellation made with Two Types

Two Different Pattern Blocks

Two More Pattern Blocks

A Tessellation made of Several Types

Examples of Escher Tessellations

Another TESSELLATION

How to Create an Escher

Tessellation

Tessellation Using a Slide on a Square

Start with a Square

Cut out a Nibble Piece from one corner to the other

Slide the Nibble Piece to the opposite side and tape it on

Let’s Add More to Our Piece

Cut out a nibble piece on the uncut side, slide it to the opposite side,

and tape it on

Another Example of a SlideThis time cut from the corner of the square to the center, slide and tape

it to the uncut side

Review

The Finished Piece

Add a Bit of Color!!

We could use other polygons besides Squares.

A Slide on a Rectangle

A Slide on a Hexagon

One Simple Slide

Do You See the Slides?

Do You See the Slides?

You Could Do This One!!

Tessellations using a Turn (also known as a Rotation)

Start with a Square

Cut a nibble piece out of one side of your

square

Now TURN (or rotate) this piece around the

corner, so straight edges touch

Rotate Around This Point

We Can Even Do Another Turn

Turning Around the Midpoint• Cut from a corner of the square to the

MIDPOINT of the side

• Turn the piece around the midpoint, tape

Another Example of a Turn• Cut from a side to the midpoint of the side

• Turn the piece around the midpoint, tape

The Final Piece

Review

The Finished Project

Rotation around Midpoint of the Sides of Equilateral Triangle

Another Rotation around Midpoint

Rotation around Vertex of Hexagon

Elephant-Seal Tessellation with a TURN

Moo!!

Lizard, Fish, Bat (by Escher)

Butterflies (by Escher)

STRETCH YOUR IMAGINATION

Birds or Fish???

Meow

Sky and Water (by Escher)

ESCHER CONTEST

Chicken in A Suit (13 year old)

Tiger (8 year old)

Happy Frogs (13 year old)

Autumn Leaves (12 year old)

Fish (10 year old)

Dogs (10 year old)

Frog Mania (10 year old)

Not Fussy Kitty (9 year old)

High Flying Kite (7 year old)

Rainbow Fish (11 year old)

Angels (11 year old)

Transformational Geometry

• Reflection – Flip

• Translation – Slide

• Rotation – Turn

• Glide Reflection

REFLECTION (FLIP)

• A reflection transforms an object into its mirror image

Reflection - Flip

• http://www.misterteacher.com/abc.html

TRANSLATION (SLIDE)

• A translation moves every point by a fixed distance in the same direction.

Translation – Slide

• http://www.misterteacher.com/abc.html

ROTATION (TURN)

• A rotation moves an object around a given fixed point.

Rotation - Turn

• http://www.misterteacher.com/abc.html

GLIDE REFLECTION

• A glide reflection is the combination of a reflection in a line and a translation along that line.

Glide Reflection

Reflection

Translation

Start

End

Your possibilities of Your possibilities of creating tessellations creating tessellations

are endless. are endless. Have fun with your Have fun with your

creations!!!creations!!!