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You are not logged in. #1 20110728 05:07:52
complex polyhedron modelsCan anyone help me or point me in the right direction to find the angles needed in order to build a wood model of an icosidodecahedron, truncated icosahedron, and/or the 3V form of an icosahedron. I found Soapy Joes posting on the subject and could not gather how to figure out the angles from his discussions. I would like to be able to derive the angles so that I can later construct the rest of da vincis polyhedra. #2 20110728 05:15:05
Re: complex polyhedron modelshi jesseherring The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #3 20110728 08:10:33
Re: complex polyhedron modelshi jesseherring Last edited by bob bundy (20110728 08:11:37) You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #4 20110728 13:44:40
Re: complex polyhedron modelsafter seeing george harts website and finding da vinci's polyhedra drawings, I have become obsessed with trying to figure out how to build one for myself. I figured out how to construct an intersecting 5 tetrahedra model with help on a timber framers forum, however I still cannot make sense of how they derive the angles needed. (I do have a BS in Computer Science, but even with this background all of the abbreviations and the way they find the necessary angles make no sense to me?) I would like begin by making a model of the elevated icosidodecahedron as shown in the drawing by da vinci. sorry about giving you the wrong name bob. #5 20110728 15:56:36
Re: complex polyhedron modelsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20110729 01:10:48
Re: complex polyhedron modelsbobby hi, #7 20110729 01:15:01
Re: complex polyhedron modelsyou should just figure out what the angles are in a regular pentagon and a equilateral triangle. Last edited by anonimnystefy (20110729 01:17:26) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #8 20110729 01:18:34
Re: complex polyhedron modelsHi all; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20110729 01:22:06
Re: complex polyhedron modelsmaybe and maybe not. Last edited by anonimnystefy (20110729 01:22:51) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #10 20110729 01:43:31
Re: complex polyhedron modelsbobby hello again, #11 20110729 01:46:16
Re: complex polyhedron modelsHi jesseherring; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #12 20110729 01:46:17
Re: complex polyhedron modelshi jesseherring The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #13 20110729 02:00:06
Re: complex polyhedron modelsbobby #14 20110729 02:04:30
Re: complex polyhedron modelsWhere would you start? I mean for the construction of the thing. How large is it to be? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #15 20110729 03:09:20
Re: complex polyhedron modelsto be able to safely cut all the pieces i would say 1418 inches #16 20110729 03:16:07
Re: complex polyhedron modelsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #17 20110729 03:29:51
Re: complex polyhedron modelswondering if anyone could explain these diagrams to me. if i understand how these work i believe that i may be able to eventually figure out the needed angles for the icosidodecahedron. #19 20110729 03:38:57
Re: complex polyhedron modelsWhat I meant that from post #16 you could actually build one out of stiff cardboard or say sheet metal. They are providing the template. We used to construct fairly large and perfect pyramids with the same idea. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #20 20110729 03:41:58
Re: complex polyhedron modelsbobby #21 20110729 03:46:51
Re: complex polyhedron models
Sometimes calculating is out and you are left with measurements. In the old days Galileo and Kepler solved tough math problems by weighing things. They were actually able to determine centers of gravity and areas under curves.
An icosahedron is not the same shape. What is learned by doing that may not carry over to the real problem. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #22 20110729 03:57:41
Re: complex polyhedron modelsdo you know how to solve for angles using 3d vector geometry as described in #3 using the vertices? #23 20110729 04:04:57
Re: complex polyhedron modelsMaybe! If I can not someone else can. First I would construct a model, either in reality or in a computer. A 3D model, those 2D drawings do not provide me with enough insight. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #24 20110729 13:34:33
Re: complex polyhedron modelsbobby, #25 20110729 13:43:39
Re: complex polyhedron modelsHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. 