M.C Escher and Geometry

1. M.C Escher and Geometry By Jasmine Hollerway, Sky Kalfus, and Stephan TK

2. 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

3. 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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8. Parts, Shapes, and Relationships • Metamorphosis Images • Start with two-dimensional tessellation • Shift to three dimensions and back • Number of visible planes increases and decreases

9. Parts, Shapes, and Relationships • Strange Loop images

10. Parts, Shapes, and Relationships • Strange Loop images • Appear to be elevated • Actually on the same plane • Physically impossible structures

11. Tools and Methods • Used basic geometric shapes in his artwork • Repetition • Symmetry

12. 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.

13. Why this is important? • Escher’s work shows how art can be enhanced by math, and vice versa • Brings depth to mathematics • Helps us understand geometry