# Self-Similarity Exploration

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**Objective:**
Learn how Escher and Dali used self-similarity in their artwork.

- Look at Square Limit (Magic of M.C. Escher pg. 182), and the geometric scaffolding on page 183. Figure out how the scaffolding corresponds to the printed image. This website [1] may help.
- How many woodblocks would Escher have carved to make Square Limit? How many times would he have pressed the block to make one print? (Hint: Look for his initials in the print).
- Describe the (three) transformations which are iterated in Dali’s The Face of War.
- Look at Print Gallery and also look at Escher’s preparatory sketches for Print Gallery in Magic of M.C. Escher, pages 130-133. What’s going on in this picture? Is it self-similar?
- Explore the Escher and the Droste Effect website. How did they fill in the hole in the middle of Print Gallery? Describe the self-similarity of the filled-in picture.
- Use a fractal generation program (such as this Mandelbrot Set Applet) to explore the Mandelbrot Set. The Mandelbrot set is self-similar. Can you find smaller copies of the original picture inside itself?

**Handin:**
A sheet with answers to all questions.