Summit Hill Elementary Art EDventures

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Summit Hill ElementaryArt EDventures

• Tessellating Triangles
• 5th Grade/Math Tiling
• M.C. Escher
• Brought to you by S.H.E. PTA

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Meet M. C. Escher
"Are you really sure that a floor can't also be a
ceiling?"
1898-1972
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A Supportive Father

• Mauritis Cornelis (M.C.) Escher or Mauk as he
  was nicknamed, was born in Holland in 1898 around
  the time the automobile was invented.
• He was the youngest of three boys from a wealthy
  family. His dad encouraged Mauk to learn
  carpentry, take piano lessons, travel and to
  eventually pursue art as a career.

Hand with Reflecting Sphere By M.C. Escher
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From Architect to Print Maker

• Escher wasnt a very good student. His teachers
  remember him as being a good artist.
• While in Architecture School his professors
  encouraged him to pursue his artistic talents. He
  switched from designing buildings to designing
  prints instead.
• Escher had no math training beyond High School
  but is very famous for creating images that
  included a lot mathematics.

Cycle By M.C. Escher
Can you see any math or architecture in this
print?
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Math Made Visual

• Scientists and Mathematicians around the world
  are big fans of his art because it is filled with
  their concepts.
• For example, Eschers Gravity piece features a
  geometric (mathematic) shape called a polyhedra.
  (hit enter)
• His Drawing Hands piece cleverly symbolizes
  another math concept of an infinite loop (or
  never ending loop.) (hit enter)

Gravity
Drawing Hands
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Interplay With Shapes

• He is best known for his prints with interacting
  shapes.
• Escher liked his art to fill the entire picture
  plane (or surface) so there was no empty space.
• He often used a math process of dividing a
  picture plane into geometric shapes called
  tiling.
• Then he would change these shapes so they
  interacted with each otheralmost like pieces in
  a puzzle, to create art called tessellations.

Sky and Water I
Can you see the interacting puzzle-like shapes?
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See The Tessellation?
Shapes that completely cover a picture plane with
no overlap (like tiles on a bathroom floor) are
known in math as tiling. When you fill the
tiles with pictures or colors to create
patterns you have art that is called
tessellations.
Hexagonal Tiles
Square Tiles
Triangular Tiles
This has both tessellations and a never ending
loop.
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Eschers Inspiration
Twenty of his tessellation prints include insect
shapes. Escher liked to use the insect world
for inspiration- he respected the order he found
within nature.
Can you relate these images like Escher?
Untitled
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Order of Nature
What shape is in this tessellation?
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What Image Do You See First? Circle Limit 5
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Triangular Tessellation
Sea Star

• Escher traveled the world to study buildings and
  bathrooms with beautiful tile for his
  tessellations projects. His favorites were in
  Spain.
• Next time you are in a bathroom take a look at
  the floor. You might just find a tessellation
  under your toes!
• Now its time to create a triangular tessellation
  of your own!

Nurse Shark
Cannonball Jellyfish
Moray Eel

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Meet M. C. Escher
"Are you really sure that a floor can't also be a
ceiling?"
1898-1972
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Tessellations Sample
Wowza!
Candy Colors Now its time to color your
triangular tessellation. Color like shapes the
same color. For example all the gumballs are
blue. All the candy hearts are purple. All
the gummy fruit slices are orange. Background
Color When you are finished coloring your candy
shapes, go ahead and color in the background a
solid color. Do not repeat a color that you
have already used!
You have just tessellated a triangle 8 times to
create a tile!
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Project Art EDventures

• Candy Shapes
• Ask the kids to think of different kinds of candy
  shapes and draw them on the white board. For
  example, the kids may call out gum balls! -draw
  a circle. Licorice! - draw a skinny rectangle.
  Candy hearts!-draw a heart, etc.
• Then ask the kids to chose three types of candy
  shapes from the board and to draw them inside
  their single triangle. The simpler the better!
  Tell them to make their marks dark!
• Lines
• Now ask the kids to draw two lines on their
  triangle. The lines have to go from one side of
  the triangle to another and go off the edge.
  (Its ok to touch or disect their candy but the
  end design will be easier if it does not.

• Folding
• Take square piece of paper and fold in half to
  make two triangles.
• Open and repeat in the other direction so you now
  have four triangles.
• Open and fold in half to make two.
• Open and repeat so you now have 8 total
  triangles.
• You should have a single triangle too (handed
  out) It should fit inside one of your folded
  triangles perfectly.

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Project Art EDventures

• Triangle to Square
• Fold you paper into a triangle so your
  transferred triangle touches the empty folded
  triangle to your upper left. Then trace over the
  back side to transfer your design again.

• Transfer Your Triangle
• Fit your loose triangle inside your folder square
  with the pencil marks down. You should be able
  to see the lines through the paper. Now trace
  over these lines. Press firmly because you want
  the carbon to transfer onto your paper square.

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Project Art EDventures

• Rectangle to Rectangle
• Fold you paper into a rectangle. Now you want to
  fill the right side of your paper that is still
  blank.

• Square to Rectangle
• Fold your paper into a rectangle with the pencil
  marks inside your square touching the empty
  square just above it.

Open it up and you will have filled a rectangle!
Go over your lines so they are DARK!
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Supply List

• Light Weight Paper like copy paper. Precut
  into (get the size) large squares. (One per
  child.)
• Triangles precut to be the same size as one of
  the eight smaller folded triangles within your
  squares. (One per child.)
• Pencils, erasers and sharpeners. (One per child.)
• Crayons-one box per child. You can do this
  lesson with colored pencils or markers. In order
  to completely color this in 45 minutes, we have
  found crayons to work the best. And, there is
  usually no need to take time to sharpen crayons.

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M.C. Escher
Sky and Water I