M. C. Escher

1
M. C. Escher

• 1898 - 1972

2
(No Transcript)
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
Eschers 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
14
(No Transcript)
15
Ants Mobius Strip
16
A Woodcut Self Portrait
17
Eschers 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

19
(No Transcript)
20
Waterfall
21
(No Transcript)
22
(No Transcript)
23
Eschers 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
Lets 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 SlideThis time cut from
the corner of the square to the center, slide and
tape it to the uncut side
57
(No Transcript)
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
63
(No Transcript)
64
(No Transcript)
65
(No Transcript)
66
(No Transcript)
67
A Slide on a Hexagon
68
(No Transcript)
69
(No Transcript)
70
(No Transcript)
71
One Simple Slide
72
(No Transcript)
73
Do You See the Slides?
74
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
87
(No Transcript)
88
(No Transcript)
89
(No Transcript)
90
Another Rotation around Midpoint
91
(No Transcript)
92
(No Transcript)
93
(No Transcript)
94
Rotation around Vertex of Hexagon
95
(No Transcript)
96
(No Transcript)
97
(No Transcript)
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
End
Translation
Start
Reflection
127
Your possibilities of creating tessellations are
endless. Have fun with your creations!!!