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| Color Plate 3 at: http://www.rwgrayprojects.com/synerg.../plate03z.html shows that physical models can not just inspire but can also be used to derive and prove things by construction. I haven't read any other books that use physical models that you could hold in your hands to derive or prove things. I think the coordinate system to use for color plate 3 is at: http://mysite.verizon.net/cjnelson9/index.htm and SynergeticsApplication7.nb (2 MB) - Mathematica Notebook at: http://library.wolfram.com/infocenter/MathSource/600/ Are there any examples of proofs with 3D contraptions or physical models or are all mathematical proofs of theorems paper and pencil proofs? I found an algorithm to generate permutations with Prograph CPX that I probably wouldn't have found with a text based computer programming language. Are there any computer algorithms that have been derived and proved with physical models that you could hold in your hands, or computer graphic representations thereof? Cliff Nelson Dry your tears, there's more fun for your ears, "Forward Into The Past" 2 PM to 5 PM, Sundays, California time, http://www.geocities.com/forwardintothepast/ Don't be a square or a blockhead; see: http://mysite.verizon.net/cjnelson9/index.htm http://library.wolfram.com/infocente...s=1;search_per son_id=607 |
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