M'C Escher and Geometry

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M.C Escher and Geometry

• By Jasmine Hollerway, Sky Kalfus, and Stephan TK

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A little background information

• M.C. Esher was born in the Netherlands in 1898
• dropped out of the School for Architecture and
  Decorative Arts
• decided to become an artist
• spent much of his life traveling though Italy,
  which became the inspiration for much of his work

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Parts, Shapes, and Relationships

• Tessellations
• Started with basic shapes (triangle, square,
  hexagon)
• Altered them to take the form of animals
• Each change had to be compensated

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For Example
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For Example
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For Example
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Parts, Shapes, and Relationships

• Metamorphosis Images
• Start with two-dimensional tessellation
• Shift to three dimensions and back
• Number of visible planes increases and decreases

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Parts, Shapes, and Relationships

• Strange Loop images

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Parts, Shapes, and Relationships

• Strange Loop images
• Appear to be elevated
• Actually on the same plane
• Physically impossible structures

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Tools and Methods

• Used basic geometric shapes in his artwork
• Repetition
• Symmetry

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• Size and Quantity
• For a presentation the tessellations would have
  had to be a manageable size but it really could
  have gone on infinitely in size.
• The metamorphosis images- long and thin, to be
  read from left to right

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Why this is important?

• Eschers work shows how art can be enhanced by
  math, and vice versa
• Brings depth to mathematics
• Helps us understand geometry

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