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Embed code for: Tessellations
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1. What is the idea/theme behind your tessellation?
The theme behind my tessellation is a butterfly mosaic. I chose this because this portrayed art mixed with math.
2. What polygon(s) did you start with and how did you alter it?
I started with a square and then cut two identical figures and rotated them 90 degrees clockwise. This created a figure with many angles that I colored to represent a butterfly.
3. What transformations did you use?
I used rotations and translations for my tessellation. I rotated the figure in many ninety degree angles and one could even assume a translation of the figure across the page.
4. In your opinion, are tessellations math or pieces of art? Justify your answer.
In my opinion, tessellations are math and art. I believe this because anything can be justified as math or art. All figures have angles or circumferences, therefore, I could argue that tessellations are math. Anything in the world can be argued as art either as protest art or performance art, therefore I could argue that tessellations are art. The beauty of tessellations are how they can be contorted into art by using math. What is a tessellation in math? A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. What is a tessellation in art? A tessellation is a collection of shapes called tiles that fit together without gaps or overlaps to cover the mathematical plane. The Dutch graphic artist M.C. Escher became famous for his tessellations in which the individual tiles are recognizable motif such as birds and fish.
5. Provide some examples of where tessellations are found in the world around us. For example, look for examples in nature, art, architecture, business, or advertising. Include two photos or a printout of two pictures to support your claim.
Tessellations can be found in the world all around us. For example, in nature, tessellations can be seen on fish scales. In art, artists such as M.C. Escher made famous tessellations such as his piece titled ‘Waterfall’. In architecture, tessellations can be seen in the brickwork. In business, packaging boxes often involve tessellations. In advertising, tessellations can be seen on logos and billboards.
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