# Difference between revisions of "Dilation Exploration"

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:5. Sketch this square "scaffolding" on top of each of Escher's geometric patterns. | :5. Sketch this square "scaffolding" on top of each of Escher's geometric patterns. | ||

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+ | [[category:Similarity and Fractals Explorations]] |

## Revision as of 08:11, 24 January 2009

**Objective:**
Learn to recognize similarity transformations.

For each print, discuss the symmetries. Find any isometries (rotations, for example) as well as any similarity transformations.

- Path of Life II (Visions of Symmetry pg. 311)
- Path of Life III (Visions of Symmetry pg. 316)
- Butterflies (Color) (Visions of Symmetry pg. 305)
- Sketch #65 (Moths) (Visions of Symmetry pg. 167)

Look at the geometric patterns on Visions of Symmetry pg 91/Magic of M.C. Escher Illustration 94. These patterns (and Sketch #65 (Moths)) are all based on the following pattern, which has a dilation-rotation by a factor of <math>\frac{1}{\sqrt{2}}</math> and angle of 45°:

- 5. Sketch this square "scaffolding" on top of each of Escher's geometric patterns.