Difference between revisions of "Escher-Like Tessellations Explorations"
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This exploration is aimed at using the techniques from the first section of [[Tessellations by Recognizable Figures]] to create some tessellations | This exploration is aimed at using the techniques from the first section of [[Tessellations by Recognizable Figures]] to create some tessellations | ||
| − | 1. Use translations | + | 1. Use translations 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.) Make sure you create a tessellation with a recognizable figure! |
[[Image:Parallellogram-net.png]] | [[Image:Parallellogram-net.png]] | ||
Revision as of 12:52, 23 July 2007
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.
This exploration is aimed at using the techniques from the first section of Tessellations by Recognizable Figures to create some tessellations
1. Use translations 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.) Make sure you create a tessellation with a recognizable figure!
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.) Make sure you create a tessellation with a recognizable figure!
3. On the following geometric tessellations, modify one side, and propagate that change throughout the tessellation by rotating about a vertex. Make sure you create a tessellation with a recognizable figure!
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. Make sure you create a tessellation with a recognizable figure!
Handin: A sheet with answers to all questions.
