Recent content by accursedCursive

It would be an easy-peasy problem if bending was a matter of only weight, and not torque. The problem is, every time the deflection of a cantilever changes, the change in leverage causes it to change the deflection of the parent cantilever, and the change in deflection of course changes the...

No, I'm trying to figure out how much each segment will be bent by due to gravity, relative to the previous segment.

You've missed the point of this completely. My problem has nothing to do with how things grow, it's to do with how they bend under their own weight. I need a very efficient way of calculating it based on a tree of segments. The entire point of this is to study the evolution of fractal patterns...

There isn't an exact geometric rule, that's the whole point of the evolution simulation. And there is branching. However, the deflection doesn't have to be a function, and there doesn't have to be just one calculation. I just don't know a way to do this except by doing calculations that...

I'm not looking for a highly-accurate engineering solution. I just want segments that bend only at the joints between each other. This has to be easily programmed and run extremely fast.

I have no idea what any of that means, I'm just a programmer who hasn't done anything more mathematically difficult than graphics programming.

I'm trying to simulate plant evolution to see if there's a genetic reason why fronds are so common in nature, and one problem I've come across is branch physics. Whenever a segment of a leaf or branch bends, not only does it affect the angle of all child segments (and thus how they'll bend), it...

Seems like circular logic. Your explanation uses T∝1/R as an axiom, but OP's question is basically asking why T∝1/R holds true.