Tessellation Project:
Escher Reading:
When I first started out with my tile I didn't really have a idea as to what it was, but then I went to school and asked my peers and they said it looked like dolphin but I saw a stingray so my idea is a stingray. I started with a square. Then from the bottom I made a design then cut it out and reflected it to the top of the square. From there I made a design on the side of it and cut it out then reflected that to the other side. All the transformations describe how the pre-image tile moved. One would be a rotation of the tile to make it fit into the other one like a puzzle. Or you could've slide the tile up or down or to the sides, to make the transformation.
In my opinion I feel that tessellations are both math and art. I think its both because to make the tessellation and the tile you need to have math and the right measurement. But once you have created the tessellation its a art masterpiece. To make the tile you have to use your math tools such as a compass and a straight edge. But once you have finished that you have a end result that is more art than math.
Half of my mind thinks that the tessellations are more math than art. I think this because to make them you have to have the right measurements. If it was all art all the tiles probably wouldn't connect together as well. But by using math the tiles do connect together like puzzle pieces. In the end though both art and math are involved in making a tessellation.
The other half of my mind thinks that its all art. I think this because once you have finished its a complete art piece. You can make it a piece of abstract art or you could actually have it be something such as a creature or nature. A tessellation can be anything you want it to be. Unless you try and make it a certain object you want it to be.
In an article it states that "Tessellation patterns are used for tiles, mosaics, quilt and art." ( http://www.math.com/students/wonders/tessellations.html ). Therefore this is stating that they thing tessellations are art. In another article it states that "Tessellation is a system of shapes which are fitted together to cover a plane, without any gaps or overpaying." ( http://nrich.maths.org/2577 ). So it really goes either way, each person has a different perspective as to whether a tessellation is math or art.
In my opinion I feel that tessellations are both math and art. I think its both because to make the tessellation and the tile you need to have math and the right measurement. But once you have created the tessellation its a art masterpiece. To make the tile you have to use your math tools such as a compass and a straight edge. But once you have finished that you have a end result that is more art than math.
Half of my mind thinks that the tessellations are more math than art. I think this because to make them you have to have the right measurements. If it was all art all the tiles probably wouldn't connect together as well. But by using math the tiles do connect together like puzzle pieces. In the end though both art and math are involved in making a tessellation.
The other half of my mind thinks that its all art. I think this because once you have finished its a complete art piece. You can make it a piece of abstract art or you could actually have it be something such as a creature or nature. A tessellation can be anything you want it to be. Unless you try and make it a certain object you want it to be.
In an article it states that "Tessellation patterns are used for tiles, mosaics, quilt and art." ( http://www.math.com/students/wonders/tessellations.html ). Therefore this is stating that they thing tessellations are art. In another article it states that "Tessellation is a system of shapes which are fitted together to cover a plane, without any gaps or overpaying." ( http://nrich.maths.org/2577 ). So it really goes either way, each person has a different perspective as to whether a tessellation is math or art.
How I Made My Tessellation Tile:
Step 1: Create a polygon for the tile. -Square Step 2: Cut a design out from the bottom and tape it above, mirroring the cut out part. Step 3: Cut another design from the sides and repeat from step 2. Step 4: Now the tile is finished and you can now trace it onto paper and connect the pieces like a puzzle. Step 5: The tessellations together. |