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.
Fractals in nature reach skin deep within this video. It discusses that nature displays many fractals, even within our anatomy. The video lists off these various examples including: our veins, kidneys, lungs, etc. All of which, having the self-similar (never ending) pattern of a fractal. I admire this video because of its mixture of both biology and mathematics. It actually made me realize the significance behind these patterns and how intricate they are. Also, the idea of how they came to be and the various forms of repetition to create them. The video acknowledges Mandelbrot and how he issues his idea on the limits of mathematics.
One example being the Mandelbrot set, in which brought to life the idea of mathematics many have not seen before. Thus, showing the intricate structure of fractals. I would definitely give this video a watch! It brings to light the many examples of where fractals are alive where we would never think to find them.
There are many complications when it comes to traveling anywhere. Whether it be that you wish to backpack on foreign turf or go on a road trip with your best friend. It all comes down to time. Time deciphers how long it will take to get there, the amount of time you have while you are at your destination, and what you can do given this amount of time. I want to investigate within my math topic how traveling certain routes (using geometric topics and mathematics) can help create faster, more expedient, routes.
Of course, I would have to rely on only one destination. The one that most inspires me is an across country trip, that involves cite seeing and trademark locations. I have only a couple sources I can pull from which requires me to do some extensive research. Also, I must narrow down where I want this trip to go/ what trademarks the “across country trip” will explore. Here’s a picture that replicates a couple of the quickest routes:
Of course, I would include the different forms of math that would add to these different route paths. I am thinking of incorporating what we have recently talked about in class. One being how “saddle” like shapes that curve are shorter distances than those that are flat. Which, could help in investigating different routes that are the most expedient.
If you have any pointers or anything to add let me know!
In a German studio, Olafur Eliasson crafts geometric shapes that have been shocking Europeans for over fifteen years. His artwork is bizarre and reflects all different types of spheres with five fold symmetry. His most eminent pieces hang above viewers heads so they can see all the lines of symmetry and all the dimensions. Loafer has an obsession with the shadows that the spheres create. Also, with the reflections the spheres cast out on the walls around the artwork. The name for these lines are Amman lines, in which can be seen from outside the window near the artwork, in addition to the surrounding places around the piece. Here are some of his pieces created in the early 2000’s.
The lines casted out by the sphere are shown through the reflections, which are very scattered, bent, and curved to that of the geometric sphere. It is bizarre to think that reflections have a lot to do with the lines that each shape casts out (straight or bent).
Have you ever wanted to eat a rosette? Well, now you can! With some searching on the web, I have found that rosettes not only form in nature, but in the kitchen! The IOWA Public television station made cookies that were in the shape of rosettes. The ones being made in the video (Located below) are dihedral and have a rotational symmetry. It is very much like the snowflakes made in class. They represent snowflakes for the holiday usually made by families and other cooking experts. They seems to represent more than three lines of symmetry and have a horizontal and vertical line of symmetry within the cookie.
Throughout class, we have examined the comparisons of math and the visual arts, however there are other forms of art that go together with mathematics. Dance, theater, music, etc. all have various forms of dimensions and mathematics, more than you would think! For a specific example, the dance arts. Being a fan of “America’s Got Talent” a group called ‘Freelusion’ was one of my favorites a couple years ago. This was due to their play on illusions while dancing. This was due of course to special effects on the screen accompanying their dance routine.
After looking into it, their play on the dimensions were by of course counting their steps to perfection. (This of course includes math), also by playing around with tricking the mind. In class, we examined reflections with cylinders that can easily trick the mind, how it lines in the reflection look bent instead of straight. With this in mind, dance groups have been doing the same thing using shapes, formed by lights. These shapes are used to fool the audience into thinking the dancers are within the shapes themselves. Thus, also giving us the illusion of a different perspective using math and how these two subjects can make a masterpiece.
Here is the link if you want to watch it, it is pretty cool!
Hello! I am Jillian Casavant and I am a Junior here at UNH. I transferred from Plymouth and I am an English major. So, I am a bit of a book nerd.
Mathematics always scared me a bit when taking a class under this subject! However, I have always found different topics within math very interesting. This includes what we learned in class such as playing around with illusions or dimensions. I’m excited to learn more within math in this class this semester that might not be all too scary!