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| Graphing in multiple dimensions beyond 3?; Eh, comments? | |
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| Topic Started: Dec 3 2006, 02:41 AM (810 Views) | |
| KRK | Dec 3 2006, 02:41 AM Post #1 |
Poincaré Conjecture
  ![]](http://z5.ifrm.com/static/1/pip_r.png)
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Well, it was something I pondered when I was bored. How do you graph things in the fourth, fifth, ect... dimensions. I first looked at how you got at a graph for the 1st, 2nd, and 3rd dimensions. You bisected nothing with a line for a 1-d graph. A single vertical(or horiontal) line. For 2-d, there are 2 lines, one going up, another to the side. You bisect the intersection point of the first two lines( 0,0 ) to get a 3-d graph in which you have 3 factors(0,0,0). Now comes the problem. You need a new factor, but there is no more space to expand. Why? There are only 3 geometric dimensions-Length, width, and depth(height). So, you can't expand the graph dimensions, but you can expand the amount of quadrants. For instance, there are 2 quadrants(or 1) for the 1st dimension, 4 for 2-d. 8 for 3-d. And, to get each new dimension, you bisected the 0 point. So, you now must make a diagonal cut the on the center. Imagine a cube placed straight up on one of its edges and cut down vertically. Now, do the same horizontally and you have 16 quadrants but still only 3 coordinate points for each point. 3 because of only 3 geometric dimensions. Therefore, the new quadrants represent other dimensions(like space and time). So, keep performing the cuts to create new quadrants. Thoughts on this? |
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| Admin | Dec 3 2006, 05:04 AM Post #2 |
Administrator
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This goes in General Mathematics....MOVED Okay. So, where to begin. I'll ponder this for a bit, and post something later. |
 
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| appu_xavier | Dec 3 2006, 06:02 PM Post #3 |
Poincaré Conjecture
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What, what? |
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| KRK | Dec 5 2006, 01:46 AM Post #4 |
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Poincaré Conjecture
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Read it until you get it. |
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| Edwardted | Dec 6 2006, 01:24 AM Post #5 |
Twin Prime Conjecture
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Um..... you just do |
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| KRK | Dec 6 2006, 02:22 AM Post #6 |
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Poincaré Conjecture
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Do what? |
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| Edwardted | Dec 6 2006, 02:31 AM Post #7 |
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Twin Prime Conjecture
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graph in multiple dimensions |
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| KRK | Dec 6 2006, 02:32 AM Post #8 |
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Poincaré Conjecture
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Well, Mr. Williams showed be simple graphing for imaginaries. |
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| Edwardted | Dec 6 2006, 03:00 AM Post #9 |
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Twin Prime Conjecture
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isnt it like normal graphin |
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| vwilliams | Dec 7 2006, 03:31 AM Post #10 |
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Mathematician
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After four dimensions it becomes pretty much abstract but K actually has a reasonable 3D representation. But keep in mind it's just a 3D model of something that we can't imagine. W |
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| appu_xavier | Dec 7 2006, 04:47 AM Post #11 |
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Poincaré Conjecture
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It's Majik! |
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| Edwardted | Dec 7 2006, 08:32 PM Post #12 |
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Twin Prime Conjecture
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Magic is when Xavier spells stuff correctly. |
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| appu_xavier | Dec 7 2006, 09:43 PM Post #13 |
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Poincaré Conjecture
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I did that on purpose, you moron. |
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| KRK | Dec 7 2006, 10:06 PM Post #14 |
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Poincaré Conjecture
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There are no morons on the MFSP website. |
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| appu_xavier | Dec 8 2006, 05:00 AM Post #15 |
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Poincaré Conjecture
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Except Edward. Ted. |
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5:28 PM May 21