Monday, August 25, 2008

Didimention


They say we live in a 3d dimensional world, to me its anything but 3dimensional. We may be able to comprehend depth but if you take your point of view from your eyes right now, your brain is only perceiving a 2 dimensional plane with 3d dimensional depth, as you move to a new perspective, that to, is only a "2dimentional flat plane just like a movie. We live on the 2dimetional surface of a sphere called earth, For instance to find any point on the earth all you need is longitude and latitude. 2 points to define your location, seems pretty 2d to me. For human kind to enter 3dimentional space, we need to start using all that space above us, which is called the Z axis. To truly understand the nature of our existence, new concept that have been around for centuries are now just being popularized, not just because its being advertised but that these concepts are making more sense then any other theoretical physics out there.


common knowledge is, that to find a point in 2d space you need 2 locations to determine the position, in 3d space you need 3points, (xyz) to find that point. There are new mathematical concepts that now state you can find a point in 3d dimensions using only 2 points. This is using a form of mathematics called "complex numbers". I would fail miserably trying to convey the concept of the 4th dimension through a blog, but I found this mind expanding video that I can guarantee, will give you mathematical vertigo.


this video runs over concepts like the idea of what it would be like to be a flat lander and have to explain the 3rd dimension to its flat land friends and the same with a 4th dimensional being explaining the 4th dimension to a 3rd "worlder". Hipparchus shows us how to describe the position of any point on Earth with two numbers, and explains the stereographic projection : how to draw a map of the world. Mathematician Ludwig Schläfli talks about objects that live in the fourth dimension and shows a parade of four-dimensional polytopes, strange objects with 24, 120 and even 600 faces etc etc. In the end it all comes down to the one fundamental shape that starts it all. The Circle.




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