******LEAVES IN MOTION**

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**LEAVES IN MOTION*******LEAVES IN MOTION TESSELLATION WRITE-UP*

*****LEAVES IN MOTION TESSELLATION WRITE-UP* The theme or idea behind my tessellation is a leaf, more specifically a maple leaf.

I started with a hexagon and I translated each side on different sides of the hexagon. Another way to say that is I "reflected" in some ways the different sides. Many of the translations were not necessarily directly opposite their curve, many of the translations were directly next to each other. Meaning the curve could've been on one side of the hexagon and its translation curve on the hexagonal side right next to it. It is a translation tile and a rotational tile.

I believe tessellations are both math and art because you can construct them mathematically or you can construct them from your imagination, more artistically. The Merriam Webster Dictionary defines art as, "something that is created with imagination and skill and that is beautiful or that expresses important ideas or feelings" and the definition of math is, " the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations." Both of these definitions accurately define parts of tessellations. At first, Escher did not use any math knowledge to create his art. After his first creations were made, mathematicians realized that math directly tied into tessellation. He then further explored tessellations using math. You can also create regular tessellations purely from constructing as well. Squares, triangles and hexagons are all regular tessellations that can be accurately made with a compass and straightedge. Tessellations can be created either way and the most beautiful and accurate ones take a little art and math in constructing them. To me I believe they are both.

Based on: https://www.youtube.com/watch?v=wT6B9idq - How To Tessellation Video

Merriam Webster Dictionary:

(http://www.merriam-webster.com/dictionary/mathematics)

I started with a hexagon and I translated each side on different sides of the hexagon. Another way to say that is I "reflected" in some ways the different sides. Many of the translations were not necessarily directly opposite their curve, many of the translations were directly next to each other. Meaning the curve could've been on one side of the hexagon and its translation curve on the hexagonal side right next to it. It is a translation tile and a rotational tile.

I believe tessellations are both math and art because you can construct them mathematically or you can construct them from your imagination, more artistically. The Merriam Webster Dictionary defines art as, "something that is created with imagination and skill and that is beautiful or that expresses important ideas or feelings" and the definition of math is, " the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations." Both of these definitions accurately define parts of tessellations. At first, Escher did not use any math knowledge to create his art. After his first creations were made, mathematicians realized that math directly tied into tessellation. He then further explored tessellations using math. You can also create regular tessellations purely from constructing as well. Squares, triangles and hexagons are all regular tessellations that can be accurately made with a compass and straightedge. Tessellations can be created either way and the most beautiful and accurate ones take a little art and math in constructing them. To me I believe they are both.

__Works Cited__Based on: https://www.youtube.com/watch?v=wT6B9idq - How To Tessellation Video

Merriam Webster Dictionary:

(http://www.merriam-webster.com/dictionary/mathematics)

**HOW I MADE MY TESSELLATION**

**HOW I MADE MY TESSELLATION**