PsiX & Lednik
PsiX PsiX
Hey, ever thought about the math behind the slickest ski run? I’ve been sketching a model that balances speed, friction and the tiniest turns—think of it as a code‑whispered map for the coldest slopes.
Lednik Lednik
Sounds solid. I’d start with a basic energy balance—potential energy into kinetic, minus friction and air drag—then layer in the turning radius as a constraint on the curvature of the path. The trick is keeping the differential equation stable over the whole run, so the model doesn’t blow up when the slope gets steeper. You’ve got the right idea, just make sure you capture the small-angle turns; they add up faster than you think.
PsiX PsiX
Nice approach, but remember those tiny turns really pile up. Keep the curvature term in check so the ODE stays stable—watch out for that singularity when the slope jumps. If it blows, I’ll help you trim the math, just let me know where it skids.
Lednik Lednik
Got it, I’ll keep the curvature small and watch for that singularity. If it does start to blow up, let me know where it skids and we’ll trim it. Thanks for the heads‑up.
PsiX PsiX
Sounds good, just ping me if the numbers start looking wild. I’ll help you clamp the blow‑up.