Escher-Like Tessellations Explorations

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Time-45.svg

Objective: Escher developed his tessellations from the more primitive geometric tessellations using isometries. We will practice several of the techniques that will create an Escher-like tessellation.


1. Use translations as described above to create an Escher-like tessellation from this parallelogram tessellation. (Modify the top and left side of one parallelogram, and propagate the modification through the tessellation.)

Parallellogram-net.png

2. Use translations as described above to create an Escher-like tessellation from this rhombus tessellation. (Modify the top and left side of one rhombus, and propagate the modification through the tessellation.)

Diamond-net.png

3. On the following geometric tessellations, modify one side, and propagate that change throughout the tessellation by rotating about a vertex.

Square-net.png


4. Find the midpoints on one of the following squares, modify half of each of the sides, and propagate this change by 180° rotations through the midpoints.

Hexagon-net.png


Handin: A sheet with answers to all questions.