Saturday, May 13, 2006

My Growing Post

#1.
Rotational symmetry is symmetry with respect to some or all rotations in m-dimensional Euclidean space. Rotations are direct isometries, i.e., isometries preserving orientation. Therefore a symmetry group of rotational symmetry is a subgroup of E+(m) (see Euclidean group).Symmetry with respect to all rotations about all points implies translational symmetry with respect to all translations, and the symmetry group is the whole E+(m). This does not apply for objects because it makes space homogeneous, but it may apply for physical laws.

#2.


#3. First I started with 4 blocks then I added 2 blocks to make it 6 blocks and it keeps on going on.

#4.

jaymie's growing post

Question #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.


1.Rotation symmetry means that if you can turn or rotate a figure or shape around a center point in less then 360 degrees and the shape doesn’t look different or unchanged that means that the shape has t rotation symmetry. Reflection symmetry means that a shape or figure will have a mirrored image of the shape which makes it look unique but when the shape is flipped or they will look the same. Reflection symmetry and rotation symmetry are related to pentomines in different ways.




One way is that if you take this pentominoe(letter "L") and turn it, it will look the same or unchanged, just in a different position.



Another way is that if you take a pentominoe with reflection symmetry like this one. They are the same shape but when you turn it, it looks different but they are not.




Question #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.

2. This is a pattern that I have created:

step one has 2 blocks. step two has 3 blocks. step three has 4 blocks. step four has 5 blocks





Question #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. My pattern starts of with 2 blocks beside each other. Then in step 2, 1block is added horizontally to make is 3 blocks in length. The 3rd step will now add another block beside it to make a total of 4 boxes in step 3. After, I added 1 more block beside the 4 boxes to make a total of 5 boxes. My pattern could go on and on and you could solve any step if you use its algebraic formula.(step # +1 =#of boxes, e.g. step 300: 300+1=301 boxes.)




Question #4: Create a T-Chart that shows what is happening with your pattern. You must show the first 4 steps of your pattern with the T-chart.

4. Now I have created a T-chart using the information from my pattern.




Thursday, May 11, 2006

My growing post

#1 rotation symmertry- when you rotate it and it fits in its outline more than once in the turn
reflection symmertry- symmetry as if there was a mirror, the reflection you get.
it realates to pentminoes because you could use rotation symmertry and reflection symmertry on pentminoes.
#2











#3
The pattern is a square whcih there is only 4 blocks for starting. It gets added 1 block horzantily for both rows

#4

Wednesday, May 10, 2006

Growing Post Assignment due Monday May 15th

If you can't remember what the growing post assignment is click here to go to the post on my blog.

Mr. R