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M. C. Escher 1898 - 1972
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Born in the Netherlands
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Escher was a Dutch graphic artist Today a graphic artist is also known as a GRAPHIC DESIGNER.
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A Graphic Artist creates the graphics for… Published materials
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A Graphic Artist creates the graphics for… Published materials
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Printed Materials
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Electronic Media - Internet
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Movies
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Brochures
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Advertising
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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.
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“ Relativity”
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Ants Mobius Strip
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A Woodcut Self Portrait
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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.
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“Drawing Hands”
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“Waterfall”
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Escher’s Works Woodcuts Lithographs IMPOSSIBLE CONSTRUCTIONS
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Tribar
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Another Tribar
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Tessellation A tessellation is a collection of polygons that fit together to cover a flat surface with no overlaps and no gaps
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Rhombus, Triangle, Trapezoid creating a TESSELLATION
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Squares making a TESSELLATION
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Hexagons or Rhombus? They create a TESSELLATION
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We Can Make a Tessellation
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We will need….
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A Polygonal Shape
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Pencil
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Paper
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Scissors
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Tape
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Imagination
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TESSELLATIONS Using Pattern Blocks
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Take some Squares Put them together so they touch side to side
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A Tessellation made of Squares
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Take some Triangles Put them together so they touch side to side
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A Tessellation made of Triangles
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A Tessellation made of Hexagons
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A Tessellation made with Two Types
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Two Different Pattern Blocks
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Two More Pattern Blocks
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A Tessellation made of Several Types
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Examples of Escher Tessellations
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Another TESSELLATION
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How to Create an Escher Tessellation
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Tessellation Using a Slide on a Square Start with a Square
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Cut out a Nibble Piece from one corner to the other
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Slide the Nibble Piece to the opposite side and tape it on
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Let’s Add More to Our Piece
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Cut out a nibble piece on the uncut side, slide it to the opposite side, and tape it on
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Another Example of a Slide This time cut from the corner of the square to the center, slide and tape it to the uncut side
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Review
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The Finished Piece
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Add a Bit of Color!!
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We could use other polygons besides Squares.
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A Slide on a Rectangle
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A Slide on a Hexagon
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One Simple Slide
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Do You See the Slides?
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You Could Do This One!!
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Tessellations using a Turn (also known as a Rotation) Start with a Square
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Cut a nibble piece out of one side of your square
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Now TURN (or rotate) this piece around the corner, so straight edges touch
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Rotate Around This Point
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We Can Even Do Another Turn
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Turning Around the Midpoint Cut from a corner of the square to the MIDPOINT of the side Turn the piece around the midpoint, tape
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Another Example of a Turn Cut from a side to the midpoint of the side Turn the piece around the midpoint, tape
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The Final Piece
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Review
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The Finished Project
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Rotation around Midpoint of the Sides of Equilateral Triangle
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Another Rotation around Midpoint
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Rotation around Vertex of Hexagon
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Elephant-Seal Tessellation with a TURN
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Moo!!
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Lizard, Fish, Bat (by Escher)
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Butterflies (by Escher)
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STRETCH YOUR IMAGINATION
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Birds or Fish???
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Meow
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Sky and Water (by Escher)
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ESCHER CONTEST
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Chicken in A Suit (13 year old)
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Tiger (8 year old)
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Happy Frogs (13 year old)
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Autumn Leaves (12 year old)
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Fish (10 year old)
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Dogs (10 year old)
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Frog Mania (10 year old)
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Not Fussy Kitty (9 year old)
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High Flying Kite (7 year old)
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Rainbow Fish (11 year old)
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Angels (11 year old)
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Transformational Geometry Reflection – Flip Translation – Slide Rotation – Turn Glide Reflection
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REFLECTION (FLIP) A reflection transforms an object into its mirror image
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Reflection - Flip http://www.misterteacher.com/abc.html
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TRANSLATION (SLIDE) A translation moves every point by a fixed distance in the same direction.
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Translation – Slide http://www.misterteacher.com/abc.html
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ROTATION (TURN) A rotation moves an object around a given fixed point.
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Rotation - Turn http://www.misterteacher.com/abc.html
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GLIDE REFLECTION A glide reflection is the combination of a reflection in a line and a translation along that line.
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Glide Reflection Reflection Translation Start End
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Your possibilities of creating tessellations are endless. Have fun with your creations!!!
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