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Hill Marathon
in  The Crazy Files
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11 comments on 2 pages: <<<< 1 2
Kristopher
81217
Do you have a formula for estimating the number of different routes?
Yes, this one will not be so monotonous like 100 Yard Dash, and it is big enough that you can't do the Asymmetric flipping the whole way.
Vega
15108
Kris - major glitch on this level. If you start and go left toward the wall, the whole level disappears and you kinda go inside the wall. Might wanna look into that Still love the level.

btw....I calculated it by multiplying the # of hill tops times the length of the entire level. This figure divided by the square root of an isosceles triangle while taking into consideration the weight of the car applying pressure to the far right end of the map will give the scaled median. With that tilt, just slightly over 90 million routes are possible. It's really just simple math Kris
Kristopher
81217
That is because the left part of the level is too close to the left boundary in Bike or Design. WOW from the Summer Pack was like that. I could probably do Select All and Nudge to fix it, unless it is too close to the right boundary of Bike or Design as well.

I calculated it by multiplying the # of hill tops times the length of the entire level.
12 * 64000 = 768000

This figure divided by the square root of an isosceles triangle
768000 / SQR(triangle)

while taking into consideration the weight of the carapplying pressure to the far right end of the map will give the scaled median.
(pressure) * 768000 / SQR(triangle)

With that tilt, just slightly over 90 million routes are possible.
(pressure) * 768000 / SQR(triangle) = 90000000
(pressure) * 768000 = SQR(triangle) * 90000000
(pressure) * 768 = SQR(triangle) * 90000
768 / 90000 = SQR(triangle) / (pressure)

I found the triangle to pressure ratio. But how to solve a single equation with two unknowns??
Vega
15108
you're crazy man.... a real raving lunatic
mike flips
292817
U already have everything kris, whats more to solve?

Kristopher
81217
For one thing, how a triangle can be simplified into a single number?
mike flips
292817
cuz obviously its refering to the longest side of the triangle and even though it is isosceles there the triangle obviously has a 90 degree angle, thus, the side we are talking about is the hypotenuse which is equal to ... therefore the square root of this side is 589824. Then.... hmm wish it was an equilateral triangle or 2 45 degree angles...
Kristopher
81217
It would have to be a right triangle, or be more defined, for calculating the number of routes possible on other levels.

Of course, you have to divide the width of the map by the bike's velocity in the horizontal direction, which is (velocity * cos(a)), where a is the angle of velocity. But computing that integral for a constantly changing angle is post-calculus.
mike flips
292817
i hated calculus... lets just say there are a lotta ways...
Vega
15108
this is hilarious. i was laughing out loud reading through these comments years later.
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