m. c. escher 1898 - 1972. born in the netherlands
TRANSCRIPT
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
TRANSLATION (SLIDE)
• A translation moves every point by a fixed distance in the same direction.
ROTATION (TURN)
• A rotation moves an object around a given fixed point.
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!!!