Sunday, May 14, 2006

Tony's Growing Post

Question#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.
Reflection symmetry is when you turn a shape around like a mirror

Question#2

Questions#3
For step one you have 2 blocks, for step 2 you have 3 blocks, for step 3 you have 4 and for step 4 you have 5 blocks

Question#4

At 5/16/2006 11:36 AM,  Mr. Reece said...

While this might sound obvious, at what rate is your pattern increasing or decreasing? As well does your pattern go on forever?

How does rotation and reflection symmetry apply to pentominoes?