Satan n stuff, on 06 May 2016 - 06:18 AM, said:
It's also literally impossible to quantify coastline length, but we have measurements for those. A standardized measurement would do just fine and isn't even all that hard to implement, so don't give me that crap.
It's actually NOT literally impossible to quantify coastline length. It's a linear distance measurement. You start at one end, and then just measure to the other. There are hundreds of possible ways to accomplish this.
However, there is NO mathematical system that will allow you to estimate the relative size of an object based on an infinite number of silhouettes of that object. Such a system does not exist. Even if it DID exist, the most such a system could give you would equate to is a value representing a simplified estimate of the total surface area of an object, excluding surface areas that do not contribute to the outer profile of the object. So effectively, you've found a very contrived way to find surface area, which is something that's already available to you in the model source.
And since math tells us there is direct correlation between the surface area of an object and its volume, and given that your "profile scan" excludes any surface area of the object that will not contribute directly to volume, not only will you end up with the same relative scale regardless of which of the 3 methods you used - the profile estimate, surface area, or volume - but the ratio you came up with in the profile scan will actually sit much closer to volume than it does surface area. Regardless, volume will end up being the reference that is both the most accurate and the one with the least possible deviation from standards caused by erroneous surfaces.
So like I said... over and over... it doesn't really matter what you use. If you apply a standard which is based in actual math and takes the entirety of the model into consideration to all mechs - no matter which standard you use, the relative sizes of all mechs will end up the same. This mech will always be larger than that mech, and that mech will always be smaller than this mech, and so on. The ABSOLUTE sizes of those mechs may vary depending on the method used and the starting reference point, but the relative sizes will be the same no matter what.
The only way you get out of the Blackjack getting bigger is if you eyeball every mech... you don't apply a standard and look at mechs subjectively. So basically balance by Paul.