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Creating Tessellating Art

• Artwork inspired by M.C. Escher
Tessellations
Tessellations are arrangement of shapes that
cover the picture without overlapping and without
leaving spaces.
Typically, the shapes making up a tessellation
are simple similar regular shapes, such as the
square.
M.C. Escher developed the
tessellating shape as an art form
Escher was a graphic artist, who specialized in

*
woodcuts and lithographs. Cornelis Escher
He was born Maurits
*
in 1898, in Leeuwarden, Holland.
His father wanted him to be an architect, but bad

*

grades in school and a love of drawing and design
led him to a career in the graphic arts.
Escher Self-portrait
He was unknown until the 1950’s

*

But by 1956 he had given his first important

exhibition, was written up in Time magazine,
and acquired a world-wide reputation.
Among his greatest admirers were

*

mathematicians, who recognized his work as
pictures of mathematical ideas. This was amazing
because he had no formal math training.
Escher saw tile patterns that gave
him ideas for his art work

His interest began in
1936, when he traveled to
Spain and saw the tile
patterns used in the
Alhambra.
He spent many days
sketching these tile patterns,
and later claimed that this
“was the richest source of
inspiration that I have ever
tapped.”
Alhambra Palace
*

The Alhambra is a walled city and fortress

in Granada, Spain. It was built during the last
Islamic Dynasty (1238-1492).

*

The palace is lavishly decorated with stone

and wood carvings and tile patterns on most of
the ceilings, walls, and floors.
Alhambra Castle
Alhambra consists of palaces
built by several rulers, each had
his own.castle.
The Alhambra Palace is a
famous example of
Moorish architecture.
It may be the most well
known Muslim construction.
Islamic art does not usually
use representations of living
beings, but uses
geometric patterns,
especially symmetric
(repeating) patterns.
The idea behind several of the buildings of
Alhambra was to create a Paradise on earth.
Escher used the geometry in his
art that he saw at Alhambra

*

As his work developed, he drew great

inspiration from mathematical ideas he read
about, often working directly from geometric
shapes.
He was also fascinated with paradox and

*

"impossible" figures, and developed many
intriguing works of art.
Convex Concave
Lithograph, March 1955
Escher was fascinated by every
kind of tessellation

*

In 1957 he wrote an essay on tessellations.

Mathematicians, had shown that only the
triangle,
square,
regular polygons, and hexagon

*

could be used for a tessellation . Escher used
Sometimes Escher changed the
basic shapes
By “distorting” the basic
shapes he changed them into
animals,
birds,
and
other figures.
The effect can be
both startling and beautiful.
Escher Horses
Lets make a simple tessellating
shape
Begin with a simple geometric
shape - the square
Change the shape of one side
Copy this line on the opposite
side
Rotate the line and repeat it on
the remaining edges
Erase the original shape
Add lines to the inside of the
shapes to turn them into pictures.
Add color to enhance your picture.
By repeating your shape you create a
tessellated picture
Escher liked
what he called
“metamorphoses,”
.
where shapes
changed and
interacted with
each other.
Another example
of metamorphosis
Lets make a simple tessellating
shape
Begin with a simple geometric
shape - the square
Change the shape of one side
Repeat the line on the opposite
side
Change the shape of the top
Repeat this line on the bottom
Erase the square
Turn shape looking for two
hidden animals, flowers, fish,
insects, or birds.
Draw a line that separates the two
hidden shapes you have found.
Add a few lines that bring out
your hidden shapes.
Separate the two shapes so you
can use them one at a time
Make four versions of each shape, each
version with more detail

The most
detailed shape
can be changed
quite a bit
Make four versions of each shape
with more detail

The most
detailed shape
can be changed
quite a bit
Color all of one
type of shape the
same basic color
scheme
Line up the simplest shape with
the most complex along the
bottom
Line up the next most complex
with the next simplest
Add the next row in the same way
Completed Tessellation
Completed Tessellation
Completed Tessellation
Completed Tessellation
If you find Escher too
challenging, here are examples of
another type of project for
tessellations that you can also do:
LETS GET
STARTED!

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Tessellations

  • 1. Creating Tessellating Art • Artwork inspired by M.C. Escher
  • 2. Tessellations Tessellations are arrangement of shapes that cover the picture without overlapping and without leaving spaces. Typically, the shapes making up a tessellation are simple similar regular shapes, such as the square.
  • 3. M.C. Escher developed the tessellating shape as an art form Escher was a graphic artist, who specialized in * woodcuts and lithographs. Cornelis Escher He was born Maurits * in 1898, in Leeuwarden, Holland. His father wanted him to be an architect, but bad * grades in school and a love of drawing and design led him to a career in the graphic arts.
  • 5. He was unknown until the 1950’s * But by 1956 he had given his first important exhibition, was written up in Time magazine, and acquired a world-wide reputation. Among his greatest admirers were * mathematicians, who recognized his work as pictures of mathematical ideas. This was amazing because he had no formal math training.
  • 6. Escher saw tile patterns that gave him ideas for his art work His interest began in 1936, when he traveled to Spain and saw the tile patterns used in the Alhambra. He spent many days sketching these tile patterns, and later claimed that this “was the richest source of inspiration that I have ever tapped.”
  • 7. Alhambra Palace * The Alhambra is a walled city and fortress in Granada, Spain. It was built during the last Islamic Dynasty (1238-1492). * The palace is lavishly decorated with stone and wood carvings and tile patterns on most of the ceilings, walls, and floors.
  • 8. Alhambra Castle Alhambra consists of palaces built by several rulers, each had his own.castle.
  • 9. The Alhambra Palace is a famous example of Moorish architecture. It may be the most well known Muslim construction. Islamic art does not usually use representations of living beings, but uses geometric patterns, especially symmetric (repeating) patterns.
  • 10. The idea behind several of the buildings of Alhambra was to create a Paradise on earth.
  • 11. Escher used the geometry in his art that he saw at Alhambra * As his work developed, he drew great inspiration from mathematical ideas he read about, often working directly from geometric shapes. He was also fascinated with paradox and * "impossible" figures, and developed many intriguing works of art.
  • 13. Escher was fascinated by every kind of tessellation * In 1957 he wrote an essay on tessellations. Mathematicians, had shown that only the triangle, square, regular polygons, and hexagon * could be used for a tessellation . Escher used
  • 14. Sometimes Escher changed the basic shapes By “distorting” the basic shapes he changed them into animals, birds, and other figures. The effect can be both startling and beautiful.
  • 16. Lets make a simple tessellating shape
  • 17. Begin with a simple geometric shape - the square
  • 18. Change the shape of one side
  • 19. Copy this line on the opposite side
  • 20. Rotate the line and repeat it on the remaining edges
  • 22. Add lines to the inside of the shapes to turn them into pictures.
  • 23. Add color to enhance your picture.
  • 24. By repeating your shape you create a tessellated picture
  • 25. Escher liked what he called “metamorphoses,” . where shapes changed and interacted with each other.
  • 27. Lets make a simple tessellating shape
  • 28. Begin with a simple geometric shape - the square
  • 29. Change the shape of one side
  • 30. Repeat the line on the opposite side
  • 31. Change the shape of the top
  • 32. Repeat this line on the bottom
  • 34. Turn shape looking for two hidden animals, flowers, fish, insects, or birds.
  • 35. Draw a line that separates the two hidden shapes you have found.
  • 36. Add a few lines that bring out your hidden shapes.
  • 37. Separate the two shapes so you can use them one at a time
  • 38. Make four versions of each shape, each version with more detail The most detailed shape can be changed quite a bit
  • 39. Make four versions of each shape with more detail The most detailed shape can be changed quite a bit
  • 40. Color all of one type of shape the same basic color scheme
  • 41. Line up the simplest shape with the most complex along the bottom
  • 42. Line up the next most complex with the next simplest
  • 43. Add the next row in the same way
  • 48. If you find Escher too challenging, here are examples of another type of project for tessellations that you can also do:
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.