Phoenix's+flight+over+math



Phoenix's flight over Math

Peta Geometry Class 4

In Geometry class, we made tessellations. A tessellation is an endless, repeating pattern of the same shape, with no gaps between them. My tessellation was a rotation tessellation. While I was making it, I thought it looked like a phoenix, so that is what I made it to look like.

A rotation tessellation is a shape that is rotated around one point, and there are no gaps. I made a rotation tessellation because I thought that the shape would be most intriguing to the viewers if it was rotated, instead of translated, or reflected. A translation tessellation is when a shape is slid up and down, and to the left and right, and a reflection tessellation is when a shape is reflected over an axis.

While making it, the first thing I did was cut a thick piece of paper 2 by 2. Then, I drew a line (it doesn't have to be straight; it can look like anything), going from one corner to the other. Then, I drew another line from the same corner that the other line started at, to the corner on it's other side. Do not go across to the opposite corner. Then, cut along those lines. Put the pieces you cut out back where they just were. This next part is important. Take one piece, and rotate it away from the corner the two lines meet in, along the point on the other end of the line. Rotate it on to the straight edge. Do the same with the other line, but on the other side. Then, you can start making your grid. Use a 1 foot square piece of white paper, and draw straight lines 2 apart, resulting in 2 squares. To trace the template on, match the original corner of the template with the corner of a square. Remember to start with a square in the middle, and not on the edge. Trace where the shape is. Then, rotate the figure on the original corner 90 degrees counterclockwise. Keep rotating the shape until you have four shapes. Start again on a new group of four squares. Keep repeating this process until there are no more open squares. Erase the grid lines carefully so you don't erase your pattern. The last step is to color the pattern how ever you want.

My tessellation didn't have any types of symmetry. There are 4 types of symmetry: H symmetry, M symmetry, B symmetry, and S symmetry. H symmetry is being symmetrical from the top side to the bottom, and the left and right sides. M symmetry is having the left and right being symmetrical, but not the top and bottom. B symmetry is the opposite of M symmetry; it has symmetry with the top and bottom sides, but not left and right. S doesn't have symmetry, but if you take the top half of the letter and rotate 180 degrees, it will match the bottom half.

This tessellation project was done in a way so that we could better understand how to translate, rotate, and reflect shapes. This concludes my project; I hope you enjoyed it as much as I did.