How are all of these topics related?
Math, perspective, time, and space are all related. For example, we did an activity on Wednesday on how they are related. We drew on a piece of paper what we saw outside that had a focus point. Depending on where someone in space stands, their perspective on what something looks like changes. And where they are standing, has a mathematical relation because someone can measure the distance of where someone in space is standing, in respect to how something looks.
In this picture, the stairs look like the steps are getting smaller, but this is all because of the perception. It is because of the distance (math part) between the eyes and the steps, and the farther away something is, the smaller it is. The time has to do with the concept of infinity. Obviously, the “farther” can go farther and farther away into infinity, and it will contine and contine to get smaller, but it will not disappear. So the stairs can build on and on, into infinity, and the step will look smaller but the stair will never disappear.
This is hyperbolic space. In this circle(geometry=math), the lines branch out farther and farther(distance=math) (space) out into infinity (time), until it gets really small(perspective), but the area will never disappear.
How does Math Rock relate to the subject we are studying?
Math rock always sounds to normal people like it does not have a set of continuous beat. This is because while regular rock bands play on 4/4 beat, math rock changes meters on groups of 2 or 3. They are not playing music just for the purpose of playing music, but they intellectually manipulate the beats to have a significant mathematical purpose behind their music. They add a little “twist” to just any rock, with their complex meters, by using time signatures like 7/8, 11/8, or 13/8.
http://www.fenkefeng.org/essaysm18004.html
http://en.wikipedia.org/wiki/Hyperbolic_space
http://www.theiff.org/oexhibits/oe1.html
http://en.wikipedia.org/wiki/Math_rock
http://www.epitonic.com/index.jsp?refer=http%3A%2F%2Fwww.epitonic.com%2Fgenres%2Fmathrock.html
