You win. We better shut the site down then. Recommend some NES games already.
Here's my numerical approximation approach.
Maybe if you submit a crappy TAS with bad luck or some screwups, but why would you do that?
The verified no cheating thing is the same to me as "This movie is a tool-assisted run played on an emulator." It's just a shorter way of saying "This speedrun underwent peer review and to the best of our ability has been determined that it was played in realtime on the original unmodifed hardware (or official emulator such as Wii Virtual Console) with a standard controller.
Now, look at the torus, it doesn't have said symmetry, even from A. Trace a sphere centered at the torus's center. We can certainly see that all points in the same latitude have symmetry in relation to the field's modulus, but to simplify our calculation we need to have symmetry in the entire surface. So, this reduction doesn't work.
Here's my numerical approximation approach. It's assuredly buggy it minor ways (don't try to stick the point you want a force for directly on the torus's surface since you end up with zero distance leading to massive absurd gravitational forces), but I think it's otherwise basically accurate.
For point A this is true, for point B it is not. The distance between B and the circle on the Z axis definitely matters.
Please stop with the pointless discussion of Game Genie cheats vs built in cheats. Only Warp doesn't get the difference
Assume without loss of generality that A lies on the x-axis and B's y-coordinate is zero.
It might be easier to just fill up a toroidal volume with voxels of equal mass and then calculate the summed gravitational pull from all of them at various points -- roughly equivalent to numerical calculation of your triple integral, but easier for me to wrap my head around at any rate. :) You probably wouldn't need more than 10k voxels to get an adequate approximation.
You really don't see the difference?
Wouldn't gravity make the torus collapse into a sphere unless you make up some forces that prevent it from doing so?
Like Scepheo mentioned, A's gravity would keep him grounded. The hollow center of the torus does not have any mass, so it is not part of the gravity well. Thus, gravity points towards the ground at A's position.
All of the players who vote no are for this reason.I set the plan for use death and continue.So I must stick on it.Because future Metal Slug X,I will take death in the train too.For almost 50 or more reasons.I think this one's decision will make somebody have more or less motive power to do arcade game for own spirit.Because it is hard to satisfy all the people.
That's true, but when we stand atop the surface of a sphere, our distance to the center depends on the radius. That's (partly) why there are minuscule gravity differences at various altitudes on Earth. If the Earth were a lot smaller, but had the same mass as it has now, gravity wouldn't be stronger but it would affect us much more because of how much closer to the center we would be. But you are right that the net force itself would be the same.
This is why I mentioned the difference between a small and thick torus and a large and thin torus. A person at point A should be able to jump a lot higher than a person at the point C I mentioned earlier if the torus is small and thick because he is relatively quite close to the other side of the torus, which has its own gravity pointing towards its surface. In the case of a large and thin torus, this effect wouldn't be as strong because one is further away from the other side.
It also depends on how large the planet is. The smaller the torus, the stronger the relative difference between the inside and the outside of the torus would be. An extremely large and thin torus would behave more like a rectangle, whereas you would be nearly weightless in the inside of a small and thick torus.
It seems clear we need an official ruling on this particular issue. Otherwise it's just going to devolve into an argument that never gets anywhere since both sides have reasonable points.
By the way, this was the first TAS my sister ever saw, and she's wondering how long it took the author to make it.
Yeah, a feature that is programmed into the game and can be accessed during normal gameplay, even without tool assistance. That sure sounds like cheating to me. It's certainly no different than using an external device to forcibly change RAM addresses.
I'm not sure why some of you are so anti-SDA. :(
I do support the idea for SMB2U warpless getting a star, but I also fear that there is soon going to be too much Author/TASer favoritism. We already have authors having more than 4 stars now. So I think that a variety of authors should be considered when deciding for big runs like this.
...You know, now I'm not entirely convinced I would reject the run if it used the code at the start. It'd be like a New Game+ for Super Metroid, and that might actually be pretty fun to watch.
Unfortunately, I have to vote no. I mean, only 636 Re-Records over a 20 minute movie?
While I don't agree for this run to set a precedent for free use of debug features as a separate category or tag, its entertainment value may well be sufficient for it to be published in a section designated specifically for such "impure" movies. I.e., movies that don't follow the site rules but are largely deemed too entertaining to be lost to the grue.
