Bass bar geometry

No no, geometry isn't boring! Let's make this painless. An article on bass bars I read that was written by Joseph Curtin had an engineer point out to him that the perfect shape for a bass bar would be a triangle. That would give the most resistance with the least weight. Let's assume the bass bar is 15mm tall (this one is as a matter of fact, counting the belly thickness), and goes from the upper to lower block (I don't think any respectable bass bar does), and the thickest point is in the middle. If you draw it up it would be like the triangle in blue ink in the drawing. What I use to get the heights of the bass bar is linear regression. If I set the height at 15 the point 1/4 of the way to the end of that is 15/1.11 or 13.5. 13.5/1.23 is the next step, 11/1.37 is the next step and 8/1.52 is the last step at the end. This measurement is the total bar height and includes the thickness of the belly. Subtracting the belly thickness gives the curve in red. You can see through 1/2 of the length the line is just slightly below the triangle line, then it fades some in the middle because of subtracting the belly thickness. It makes a triangle with a rounded point, if there was such a thing. The resulting bass bar is the line in green. The middle of the bar on the bottom is fairly flat with a rounded hump above it. The ends on the top are fairly flat(neglecting the last 15mm or so) over an arched bottom. So the rather complex looking curve has fairly simple geometry underlaying it. Cool.
Much like that everything in our lives has God underlaying it. Love, pain, trials, fun...everything. The seemingly complex interactions between people, and countries and everything around may seem chaotic to us, but doesn't phase God. If everyone treated everyone else the way they would like to be treated things would be much better. But as long as hatred and greed and all the other vices are the rule and not the exception chaos is all we can expect. Trust in God to help you through anything you go through. And thank Him as well, for the good and the bad.