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So what, so I made a mistake in thinking I can cut a sphere into 1/8
triangles and pack them inverted inside the original sphere with only point contacts. But that mistake may lead to a new interesting insight. As we form this primitive pseudosphere, what I called the circular pseudosphere with its 4 spines. The question arises whether these 4 spines are the surface area that sticks out of the otherwise mostly enclosed inverted sphere? Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
#12
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![]() Archimedes Plutonium wrote: So what, so I made a mistake in thinking I can cut a sphere into 1/8 triangles and pack them inverted inside the original sphere with only point contacts. But that mistake may lead to a new interesting insight. As we form this primitive pseudosphere, what I called the circular pseudosphere with its 4 spines. The question arises whether these 4 spines are the surface area that sticks out of the otherwise mostly enclosed inverted sphere? If nothing else, what this proves is that the mind's eye in math or physics is so fallible, much of the time and that you need models to work from and work with to resolve issues. Now it is obviously true that if I take a sphere and start cutting out small triangles and invert them that I would have remaining a enclosed inverted sphere of small triangles. Now if I made just one cut with two hemispheres, I could not invert them and pack them inside the original sphere. So somewhere between 1/2 to tiny triangles is there a limit to sphere cutting to where I can invert the cuts and still pack inside the original sphere. Is it the 1/8 triangles as that limit? And that I need a more refined handheld model rather than a orange cut in 8 sections? Oddly enough, I am going to try it on two new oranges. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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On Aug 22, 3:24*pm, Archimedes Plutonium
wrote: Now I may run into trouble here visualizing this. So I need to do this experiment more refined. Get a better toothpaste, Archie-Poo. |
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