Did you know that there are only 3 regular tessellations, equilateral triangle, hexagon and squares? The reasons comes back to angles. The triangle- 60, square- 90, and the hexagon- 120. To fill the plane at each vertex the tessellation must have an interior angle that is an exact divisor of 360.
"Tessellation Definition. A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling."- www.csun.edu/~lmp99402/Math_Art/Tesselations/tesselations.html
Don't worry tessellations aren't just limited to the one discussed earlier. You can have semi-regular and demiregular.
Demiregular are special tessellations. In normal tessellations the placement of the polygons is the same, but in demiregulars the vertex point is different.
Fun Facts
Tessellations in Nature
"Tessellation Definition. A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling."- www.csun.edu/~lmp99402/Math_Art/Tesselations/tesselations.html
Don't worry tessellations aren't just limited to the one discussed earlier. You can have semi-regular and demiregular.
Demiregular are special tessellations. In normal tessellations the placement of the polygons is the same, but in demiregulars the vertex point is different.
Fun Facts
- no gaps
- no overlaps
- made by repeating shapes
- Honeycombs are tessellations
Tessellations in Nature
- honeycomb
- fish scales
- turtle shells
- snake skin
- pinecones
- spider webs
Want to make your own?
ok here's one method.
1) Get a piece of paper and write EVIL putting one letter in each corner (E: upper left, V: upper right, I: lower left, L: lower right)
2) next draw 2 random lines : 1 right-to-left, the other top-to-bottom
3) cut out the shapes along the lines you drew
4) Then place the corners together so that they spell LIVE (L: upper left, I: upper right, V: lower left, E: lower right)
5) tape the pieces together
6) get another piece of paper and start tracing.
7) color it!
Be sure to send me pics of the finish product.
ok here's one method.
1) Get a piece of paper and write EVIL putting one letter in each corner (E: upper left, V: upper right, I: lower left, L: lower right)
2) next draw 2 random lines : 1 right-to-left, the other top-to-bottom
3) cut out the shapes along the lines you drew
4) Then place the corners together so that they spell LIVE (L: upper left, I: upper right, V: lower left, E: lower right)
5) tape the pieces together
6) get another piece of paper and start tracing.
7) color it!
Be sure to send me pics of the finish product.