Tuesday, May 16, 2006

Aaron'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.

A Reflection Symmetry means when 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

A Rotation Symmetry is symmetry with respect to rotations, like isometries that preserve orientation. For instance, you can take any point on any shape, and rotate on the point, and it'll still be the same shape, thus preserving the orientation.

These two terms relate to pentominoes because you can rotate(like in rotational symmetry) and flip (like in refectional symmetry) .

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.

My pattern Starts off with three squares and keeps adding one square each time.

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.

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At 12:17 PM, Blogger Mr. Reece said...

Aaron does your pattern continue on indefinately?

If you flip or rotate a pentominoe does it become a new and unique pentominoe?

Your mark is 16/20


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