Sunday, May 14, 2006

The Growing Post .

Q#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:Rotational symmetry - is symmetry with respect to some or all rotations in m-dimensional Euclidean space. Or in EASIER words . No matter how much it is rotated . The object stays the same .

Reflection Symmetry - The axis of symmetry of a two-dimensional figure is a line such that, if a perpendicular is constructed, any two points lying on the perpendicular at equal distances from the axis of symmetry are identical. Another way to think about it is that if the shape were to be folded in half over the axis, the two halves would be identical: the two halves are each other's mirror image. Thus a square would have four axes of symmetry, Because there are four different ways to fold it and have the edges all match. A circle has infinite axes of symmetry, for the same reason.

This can relate to pentominoes because it can be alike. such as reflection symmetry. if you have pentominoes as a square with four units , put an imaginary line perpendicular at equal distances from the azis of symmetry are the same .

Q#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.

Q#3: Describe in words what is occuring with your pattern and if your pattern has an ending or if it continues on indefinately. Make sure that your explanation is clear enough that the person reading your description could understand your pattern without seeing your diagram.

A: This pattern starts out with one " crown " can also be replaced by a tile . But this looks cool . And for every pattern another ONE crown/tile is added to the bottom or the top . This pattern can go on forever and make a long rectangle .

Q#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.

nathaniel casalla ..


At 7:56 p.m., Blogger cherry_blossoms said...

Thanx for the growing post notes nathaniel. I got ALOT of help from reading it.

At 9:40 p.m., Blogger Mr. Reece said...

If you rotate or flip a pentominoe does it change? Otherwise it is a great growing post

At 1:50 p.m., Blogger Mr. Reece said...

Great post and I enjoyed the artwork that you used on your post. Your mark is 19/20


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