Build connected shapes that fill the plane with no gaps or overlaps.
Build Tilings & Tessellations
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How many different tiling patterns can be made with regular polygons? How many categories of tilings are there?
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Who is Johannes Kepler? How did he connect tessellation to other patterns he saw in nature?
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What are Girih tiles? Where are the earliest surviving examples of this form of decoration?
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Who is Roger Penrose? How did he tile the plane with pentagonal shapes?
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What is aperiodicity? What are quasicrystals and what properties do they have?
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What are emergent systems? How is Penrose tiling an example of an emergent system?
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