samedi 26 septembre 2015

Approximating a sphere

I've been scratch-building a sphere for the start tank for the J2 engine for my 1:72 Saturn V, and while I'm familiar with the patterns that spheres can unfold to, I'm having trouble getting the size right. When approximating a sphere (or other complex curve), what's the best way to measure to get the size to appear to be correct? I've identified 4 possibilities:

1. Inside. Make the edges of the panels match the true radius. The part fits entirely inside the true sphere.

2. Outside. Make the center of the panels match the true radius. The part fits entirely outside the true sphere.

3. Average. Average the edges and middle of the panels to equal the true radius. The true sphere crosses each panel twice, so at the edges the part is outside the true sphre, and at the middles the part is inside the true sphere. The feels like the right way to go, but when I tried it, the part seemed to be too large to fit its place on the model.

4. Circumference. Divide the true circumference by the number of panels and make the width of the panels match the result. This seems to result in a smaller part, entirely within the true sphere.

Or am I over thinking this, as usual?


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