Fibonacci Spiral

Above is an example of the Fibonacci spiral which is also used to represent the golden mean. This uses $\pi$ in order to create the sequence. The golden ratio is used in a number of structures, such as the Parthenon, and can also be found in many places in nature. The $\pi$ ratio is found in the body proportions of insects, animals, frogs, and plants. The fact that this ratio appears all throughout nature is surprising. Also, I wonder what brought animals, etc. to evolve in such a way as to mimic this pattern? Perhaps it is something even housed in DNA from the very beginning. Or maybe the pattern is only there because most need to have a reason for things being the way that they are and patterns are the first step in doing so. I’m not saying that we could never discover all the mysteries in the world. There must be a logical reason for everything. But perhaps, we only see what’s favorable to us at the moment. Anyways, I’ll stop with the philosophizing, etc. now. I’m sure it’s horribly boring for some. ^ ^”

I found out about this pattern awhile ago and thought that it would be fun to share. I found it fascinating that this pattern shows up everywhere of it’s own accord. Especially in nature because nature seems so random and unpredictable. I want to try and connect as much as we are learning with the rest of the world because truthfully, in order to understand something, I have to see how it works. With math this is often a problem for me because we deal with numbers that can’t really be comprehended some of the time. Or the way in which numbers work together can be quite tricky.

There’s quite a lot of information about the spiral so I won’t go into detail here. However, there are a couple of good video’s on it that I will post a link to at the end of the post. One of them is more spiritually inclined, but it does have more information on how the spiral is made.

We’ve been learning about continuous and non-continuous functions in class. The concept so far is pretty easy to grasp. I think this is because I can see it on a graph or imagine the graphed function in my mind. We are looking both at the function being continuous in general and also whether it is continuous at a certain point on in the equation. What I wonder most is how they make the functions that can break off at certain points and then continue on as though it never happened. I assume the equation would have to be complex. I also wonder if people are thinking the same thing I am! xD

Spirit Science

Fibonacci Spiral

Note: I do not own any of these pictures. They are public domain. Here are the links to them in order shown:

Pic 1, Pic 2, Pic 3