Monday, May 15, 2006

(1) What is meant by the terms " rotation symmetry" and "reflection symmetry?" How does this relate to pentominoes? Explain these terms so that anyone who reads your post understands what you mean.

a)-Rotation symmetry is when you can rotat (or turn) a figure around a center point by fewer than 360 degrees and the figure appears to seem like it didn't change. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation.

b)-Reflection of symmetry is if a figure or object looks the same after being reflected in a mirror then it has reflection symmetry. The line where you must put the mirror for this to work is called the line of symmetry. In 3D it would be called the plane of symmetry.

c)-Pentominoes are shapes that are formed with 5 squares. The corners have to be touching on it's sides on the top and on the bottom. They can't be touching corner to corner. You can only form 12 unique pentominoes. The picture below show's all 12 unique pentominoes.

-Pentominoes relate to ratation symmetry and reflection symmetry because no matter which way you rotate or reflect the pentomino, the pentomino will not become a unique pentomino.





(2)Create a pattern. You must represent this pattern both pictorially (i.e With a picture or diagram) and with numbers. You must show the first 4 steps of your pattern.


(3)Describe in words what is occuring with you pattern and if your pattern has an ending or if it continues on indefinately.Makesure that your explaination is clear enough that the person reading your description could understand your pattern without seeing your diagram.

- the shape is the letter "E". First it started off with 5 blocks verticle 3 blocks at the top horizontal, 2 blocks in the middle going horizontal and 3 blocks at the bottom also going horizontal. And that makes the "E". The "E" increases in blocks and gets bigger as you add blocks. All the blocks going horizontal (which are the top, middle and bottom line of blocks) increase and the one line of blocks or squares or cubes or what ever you want to call it, going verticle does not increase at all. You add one block or square each to the end of the top line of squares going horizontal and the middle line of squares going horizontal and the bottom line of squares also going horizontal. keep adding squares or cubes to those ends to continue the pattern.

(4)Create a T-Chart that shows what is happening with your pattern. You must show the first 4 steps with the T-Chart.




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3 Comments:

At 8:23 PM, Blogger Mr. Reece said...

Does you pattern go on indefinately?

Mr. R

 
At 8:28 PM, Blogger Mr. Reece said...

This comment has been removed by a blog administrator.

 
At 12:22 PM, Blogger Mr. Reece said...

This is a great post april, it deserves 19/20

 

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