So, I thought I would continue the concept of an infinite universe with some other mind boggling terminology… dimensions! This video describes the other dimensions and what they entail. They break it down using mathematical terms and how we would perceive different dimensions in our own reality. It’s pretty neat, I think my brain exploded a couple times watching this video. But! It’s very interesting. The video also talks about time and how that in itself is another dimension. Also, why we can not view the other worlds that are ‘around’ us. Or, as mentioned in different planes. It made me think differently about my own perception. How humans can sometimes fixate so heavily on their own world not realizing there are so many others.
For this weeks post, I was a bit lost for what to post. So I did some research online and was pretty amazed at what I found and it got me thinking that there is chaos everywhere we go and especially in nature. There are some patterns in nature. I was looking up some stuff online about the weather and meteorology use the chaos theory everyday with predicting the weather and different weather patterns. Which I think is very interesting.
I’m fairly certain that we spoke about the Butterfly Effect film in class either this past week or the week before; but I feel that it’s a pretty cool film as well as general theory. If you guys don’t recall what it is, it essentially follows the idea that, “small causes can have larger effects.” Meaning that all the small choices in life, or occurrences or as the Wikipedia article I’m quoting said, “causes” can drastically effect an ultimate outcome. The theory itself is interesting to look at from a perspective of regular life. If you get in your car and drive to class, or talk to one individual you pass by, it can change things drastically. Perhaps you get into a car accident and become paralyzed from the waist down, or maybe the person you talk to ends up becoming your soul mate who you spend the rest of your life together with.
More specifically, the Butterfly effect theory is used both in weather patterns, (especially with the formation of tornadoes,) and in quantum mechanics.
It is also subject to two mediocre films. The second of which I included a poster of. It’s an absolutely dog doodoo movie, but funny to watch with friends if you’re into film or critiquing.
Wednesday in class we saw some of the tricks of Pascal’s Triangle such as the exponents of 11, the Fibonacci Sequence, and the Sierpinski Triangle. In reading more about it on mathisfun.com I came across the Chinese version that showed up more than 300 years before Pascal’s did. This version is known as Yang Hui’s Triangle. This blog post describes more about how it came about, but I found it really interesting that it showed up so many years earlier.
In a way it reminds me of Dr. Plante’s story about the tile work in Europe that he didn’t write about and publish before someone else did. The Chinese had it figured out first, but so many people today only know about Pascal’s work.
I didn’t know what to write about for this topic, so I did a quick google search of “chaos theory” and ended up on the wiki page for it. I didn’t have to scroll down very far to see a few images of interest. The first was of something called the “lorenz attractor” and the second was a gif of a “double rod pendulum” animation.
According to wikipedia: “Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions.”
The first thing that came to mind when I saw these was of something I had as a child. A toy called a Spirograph. It was a little piece of plastic you would insert your pencil into, and then move it around on a piece of paper to create really beautiful designs. It’s similar to the double rod pendulum in the sense that if you move your pencil a certain way it could completely change the outcome of your design. Also because you move your pencil around so many times and it would seem like you were just creating a big scribble on paper but it ends up being a very intricate image produced.
After our discussion in class about organized chaos and the Fibonacci sequence, I was reminded of a book I read back in elementary school. The story takes you on a journey alongside child-age math geniuses who solve higher level math equations to save their friends and solve mysteries. The book is called The Wright 3.
I remember reading the story and becoming fascinated with how these young children were able to solve such advanced problems. I remember that there were pages within the story itself that explained the type of math they were using and I understood it to a degree. I may have even used the book as a source for a report to show how math correlates to every day life and how even higher level math appears in children’s books. I do remember the shocked look on my teacher’s face when I showed her the book and told her I was reading it. At that point in time I had an understanding of the Fibonacci sequence since we were learning parts of it but nothing to the degree that we are learning now. In the story, I remember the main characters using it to learn about a house and its odd structure. In the picture below, the characters are examining Escher staircases and how they functioned within the house.
I didn’t understand how the sequence and housing structure could possibly go together but after our discussion in class about how different sets of numbers within the sequence correlate to one another, it’s starting to become more clear. Though it may seem like a children’s book to some, I found it very informative and would recommend it to anyone interested in learning more about 3-d structure and the Fibonacci sequence. Apparently it is part of series!
This week in class we played around with the mobius strip and found out that it will continue to remain a mobius strip until you cut it. It then will revert back to a cylinder. The video below shows what we did in class as well as a few more cutting techniques. I found it very interesting both in class and while watching this video that it does not matter how you cut the paper, the end result is a cylinder. Once a single cut is introduced, a mobius strip can never be formed again.
On Wednesday when Dr Plante first presented the idea of if the Universe was infinite or finite, my mind started to melt a little. And than what it would be like to be a “flatlander.” I’m surprised there wasn’t a giant puddle of goop formed by my brain that was melting out of my ears. Needless to say my thought process was a little fried. When it came to potential bog posts I wan’t sure where to start. So I began by googling ‘mobius strip’ and stumbled across this snazzy image. Apparently it’s the album artwork for “The Infinite Road” by Toyz. A suiting image for the name of the album, don’t ya think?
It was intriguing to find an image that reflected what was mentioned at the end of class, that this is what the world would look like if it was “flat.”
I was curious as to what was the number of dimensions that we know of and found out that depending on the theory that is being used there is a different amount. Superstring theory suggests a minimum of 10, M- Theory suggests at least 11, and bosonic string theory says 26. What I thought had the potential to be an easy question wasn’t so easy. The link to this article explains the 10 dimensions. https://phys.org/news/2014-12-universe-dimensions.html If you do not feel like clicking on it I will make a simplified list. 1st Length, 2nd Height, 3rd Depth, 4th Time, 5th Possible Worlds, 6th A plane of all possible worlds with the same start conditions,7th A plane of all possible worlds with the different start conditions, 8th A plane of all possible worlds, each with different start conditions, each branching out infinitely,9th All possible worlds, starting with all possible start conditions and laws of physics, and finally 10th infinite possibilities. I didn’t think the list to bad until I got towards the end starting at number 5 I tried imagining what that would entail and I think even then all possible worlds is pretty vast and quite large.
As we viewed the video on Wednesday I thought the concept of higher dimension and how we cant see them and that why it is really hard to believe they even exist was really interesting. I especially liked the analogy of flat land because it made senses, and if we think about that in terms of our dimension and discovering or thinking of the possibility of high dimensions, then we can understand why we perceive it the way we do or why do not understand it. I found this really interesting video on higher dimension and hyper space, even though it is an hour long I thought it was worth sharing.