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Joined 1 year ago
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Cake day: June 12th, 2023

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  • It represents each circle as an equation that is only true when x and y are on the circle. By requiring that all three equations are true, you can find all points that are on all three circles.

    You can either convince yourself that three circles can only intersect at one point or you can use the fact that two variables and three independent equations means that there are zero or one solutions that satisfy all equations.

    You could actually even make a system that only needs two distances (and the depth)! Two circles can only intersect at two points, so you just need to figure out which one of the two you are. That can be done by looking at which of the landmarks is on the left when looking towards them.

    Now the really difficult thing here is to figure out why this works even with inaccurate inputs, as the math presented on the site assumes that everything is perfectly accurate.

    You can actually formulate different ways of computing the position that differ in how they react to measurement error. One way to investigate that is to take the derivative wrt. to one of the radii.

    This resonated with me because I once did the same thing but in 3d and with magnetic field strength instead of distance. I never found a satisfying solution because magnetic fields are capsule-shaped rather that spherical. The shape is described by a 4th degree equation, so its exact solution is too large to be useful and the whole system of equations cannot be solved symbolically.

    I hope that didn’t get too intimidating.










  • Prismata is the best 1v1 turn-based competitive game. It even looks and feels somewhat like Starcraft.

    It isn’t very pooular, which I blame on bad tutorial and monetization decisions. It used to have just a series of missions for learning the game but in an attempt to make it palatable for a wider audience, the developers replaced it with a story and way too easy tutorial missions. The monetization is random loot boxes which doesn’t fit well, as the game itself has no rng.

    Unlike Starcraft, Prismata can be mastered simply by playing. (I went from bronze to gold in SC2 by not playing the game for years. It helped me focus on actually important things instead of getting my build order timings just right.)


  • Probably same solution as currently.

    Players could absolutely delete bosses but they usually don’t because that level of damage doesn’t make progressing through the story any faster. My only character with that kind of damage early on was Hexblast. It was extremely fun but slow leveling, as the cast time is pretty massive.

    Weaker players will struggle until they learn to build a certain level of damage. The bosses just have to be tuned so that it is possible to salvage a garbage build without knowing every single game mechanic. The tuning is currently pretty lenient, as I can make up builds on the fly that demolish Ruthless even though non-ruthless characters get at least 300% more damage for free.



  • Simulacrum is usually done with a very fast character that kills the mobs faster than they spawn. It may be that Holy Relic is not fast enough due to its cooldown and slowly expanding circle. Also note that Simulacrum 20 is already a pretty tough goal. The levels after that are only for characters that do stupid amounts of damage.

    Before Simulacrum you could maybe set an easier goal of doing rare T16’s while never dying and one shotting whole packs. Then you need to up the damage because T16 mob health is rather low.

    I believe that Holy Relic and Agony Crawler are best when used as a damage source for builds that invest purely in defense.

    This can be nice but usually not for Simulacrum. I have played a character that easily stayed alive when the rest of the party was deleted in juicy T16 delirious maps but it still died to Delirium, so how fast you kill is much more important than durability.