Topic, The Laws of Paths

  See? Even the person that's MADE of paths agrees. |:p

  I just adjust the path until it feals like a good speed. I never calculate anything with them other then basic addition.

I dont think I will ever need this...
But good work, this will confuse people and then I will have all my competition eliminated!

  The power of Garygoh making equations that make no sense for things that make complete sense. |:p

  oh wait, I just realised that the formula does account for average speed changing XD
also, in the formal proof, then less-than signs should really be less-than-or-equal-to signs

  Wow i dont understand this

  I was complaining that the average speed of the whole line was used for calculating time to only travel part of it, when that causes the average speed to be different

  Solving the Law 1 equation:

  alright...1 sec...
P(speed at L)=(y-x)/2+x
(ds/dt) = s|x-P|/L
not sure...:P

  .....What?

This topic is confusing, and i'm in Trig...

  HA! Hexicube FAILS again!

  Wrong. If s has reached the endpoint (L), then s = L. Now, Hexicube's adjustment is wrong because

(ds/dt) = (x + (y-x))/2 + x = y/2 + x.

  now, for law 1, a fix:
(ds/dt)=(x + s(y-x)/L)/2+x

  Ok, what does this mean? I cannot scroll over the page!

  s(y-x)/L
incorrect - assumes same speed throughout(equal to avg speed)

  Gis, If 2 node speeds are different, you might want to know what time it will be a point between them, as it wont be linear to to the acceleration/ deceleration in the node speeds, So this formulae works out the time,

  These are cool I guess, but I can't see anyone calculating path things like these while making a level.

  Quest- ion.
What is the law ?

  Ooh... This could be useful... Nice work Gary,

[and i guess you use √a^2 + b^2 to get L]

  Law 1


Law 2


Although the law(s) are usually developed by me, so PM me if you have developed a true law of paths.