Could someone help me work out the geometry for making a scaled wooden windmill?

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Answer :

answer:I don’t know what values you have chosen to use to specify your windmill. I am going to assume that you have chosen some base length b for the side of the base octahedron and a for the length of the side of the upper octahedron. I am also going to assume you have specified the slant height h1 joining a and b. It is convenient to work with the triangle formed by extending the two sides joining the two bases. If we call call h the height of the triangle, then using similar triangles, we get (h – h1)/a = h/b. Solve for h. You can now calculate the base angles using (b/2)/h = tan(base angle). You can also compute the tilt angle of the walls. First calculate the distance g from a side b to the center of the octahedron, given by (b/2)/g = tan(22.5). Then g/h = cos(tilt angle).

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