1. M. C. Escher 1898 - 1972

3. Born in the Netherlands

4. Escher was a Dutch graphic artist Today a graphic artist is also known as a GRAPHIC DESIGNER.

5. A Graphic Artist creates the graphics for… Published materials

6. A Graphic Artist creates the graphics for… Published materials

7. Printed Materials

8. Electronic Media - Internet

9. Movies

10. Brochures

11. Advertising

12. 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.

13. “ Relativity”

15. Ants Mobius Strip

16. A Woodcut Self Portrait

17. 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.

18. “Drawing Hands”

20. “Waterfall”

23. Escher’s Works Woodcuts Lithographs IMPOSSIBLE CONSTRUCTIONS

24. Tribar

25. Another Tribar

26. Tessellation A tessellation is a collection of polygons that fit together to cover a flat surface with no overlaps and no gaps

27. Rhombus, Triangle, Trapezoid creating a TESSELLATION

28. Squares making a TESSELLATION

29. Hexagons or Rhombus? They create a TESSELLATION

30. We Can Make a Tessellation

31. We will need….

32. A Polygonal Shape

33. Pencil

34. Paper

35. Scissors

36. Tape

37. Imagination

38. TESSELLATIONS Using Pattern Blocks

39. Take some Squares Put them together so they touch side to side

40. A Tessellation made of Squares

41. Take some Triangles Put them together so they touch side to side

42. A Tessellation made of Triangles

43. A Tessellation made of Hexagons

44. A Tessellation made with Two Types

45. Two Different Pattern Blocks

46. Two More Pattern Blocks

47. A Tessellation made of Several Types

48. Examples of Escher Tessellations

49. Another TESSELLATION

50. How to Create an Escher Tessellation

51. Tessellation Using a Slide on a Square Start with a Square

52. Cut out a Nibble Piece from one corner to the other

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

54. Let’s Add More to Our Piece

55. Cut out a nibble piece on the uncut side, slide it to the opposite side, and tape it on

56. 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

58. Review

59. The Finished Piece

60. Add a Bit of Color!!

61. We could use other polygons besides Squares.

62. A Slide on a Rectangle

67. A Slide on a Hexagon

71. One Simple Slide

73. Do You See the Slides?

75. You Could Do This One!!

76. Tessellations using a Turn (also known as a Rotation) Start with a Square

77. Cut a nibble piece out of one side of your square

78. Now TURN (or rotate) this piece around the corner, so straight edges touch

79. Rotate Around This Point

80. We Can Even Do Another Turn

81. Turning Around the Midpoint Cut from a corner of the square to the MIDPOINT of the side Turn the piece around the midpoint, tape

82. Another Example of a Turn Cut from a side to the midpoint of the side Turn the piece around the midpoint, tape

83. The Final Piece

84. Review

85. The Finished Project

86. Rotation around Midpoint of the Sides of Equilateral Triangle

90. Another Rotation around Midpoint

94. Rotation around Vertex of Hexagon

98. Elephant-Seal Tessellation with a TURN

99. Moo!!

100. Lizard, Fish, Bat (by Escher)

101. Butterflies (by Escher)

102. STRETCH YOUR IMAGINATION

103. Birds or Fish???

104. Meow

105. Sky and Water (by Escher)

106. ESCHER CONTEST

107. Chicken in A Suit (13 year old)

108. Tiger (8 year old)

109. Happy Frogs (13 year old)

110. Autumn Leaves (12 year old)

111. Fish (10 year old)

112. Dogs (10 year old)

113. Frog Mania (10 year old)

114. Not Fussy Kitty (9 year old)

115. High Flying Kite (7 year old)

116. Rainbow Fish (11 year old)

117. Angels (11 year old)

118. Transformational Geometry Reflection – Flip Translation – Slide Rotation – Turn Glide Reflection

119. REFLECTION (FLIP) A reflection transforms an object into its mirror image

120. Reflection - Flip http://www.misterteacher.com/abc.html

121. TRANSLATION (SLIDE) A translation moves every point by a fixed distance in the same direction.

122. Translation – Slide http://www.misterteacher.com/abc.html

123. ROTATION (TURN) A rotation moves an object around a given fixed point.

124. Rotation - Turn http://www.misterteacher.com/abc.html

125. GLIDE REFLECTION A glide reflection is the combination of a reflection in a line and a translation along that line.

126. Glide Reflection Reflection Translation Start End

127. Your possibilities of creating tessellations are endless. Have fun with your creations!!!