Wouldn’t the play experience of a dangling cat toy be different every time given the randomness of the toy’s trajectory once impacted by the feline’s paw?
Yeah but what good is choosing how I’m going to swipe at an RNG boss if there are no alternate paths, devil deals or final final final final final bosses?
Even as a single pendulum there’s a huge number of possible trajectories it could take, making it effectively random from our perspective.
A simple pendulum is actually a chaotic system in the real world (everything is, for the most part). It’s extremely sensitive to initial conditions. Even microscopically small differences in how hard the cat swipes, the exact angle of impact, tiny air currents, or imperceptible vibrations in your hand holding the toy all get amplified exponentially over time into completely different swing patterns.
The phase space is basically the map of all possible positions and velocities the toy could have. It contains an astronomically large number of distinct states it can pass through. We’re talking numbers so large they’re bounded only by physical limits like the Bekenstein bound. The path through these states depends on initial conditions we simply cannot measure precisely enough, plus constant perturbations from the environment (thermal fluctuations, air resistance, microscopic imperfections in the string).
Add to this that cat toy strings aren’t perfectly flexible. They have some rigidity and internal friction that creates additional complexity and damping. This makes the system even less predictable because the energy dissipates in chaotic ways.
Whether the underlying universe is truly random (quantum indeterminacy) or just deterministically chaotic beyond our ability to measure doesn’t matter for practical purposes. The computational precision required to predict the trajectory exceeds what’s physically possible to measure.
For all intents and purposes, every swat creates a genuinely unpredictable and effectively random experience for the cat.
Its even more than a pendulum, as pendulum free swing on a nearly perfectly flexible wire. Cat toys typically swing on a plastic wire with some rigidity, making it less a single pendulum and more a complex system of counterweights against a single large point of inertia.
No, it’s always the same. The “every run is different” in roguelikes is just an illusion, you just are playing with the same patterns over and over till “that” you are waiting for happen, like gambling.
Any good roguelike forces you to adjust your play style, strategy, and tactics with each run.
If you’re playing the same way every time, just hoping for the items/upgrades/whatever that work best together or with your default play style, you’re absolutely doing it wrong.
the point in my comment is about how some games relay in random rewards systems to keep you playing. Every game can be a roguelike if you dare to, like, finish metal slug only with knife when possible, finish a league in a baseball game using only left handed players, and so on
Wouldn’t the play experience of a dangling cat toy be different every time given the randomness of the toy’s trajectory once impacted by the feline’s paw?
Yeah but what good is choosing how I’m going to swipe at an RNG boss if there are no alternate paths, devil deals or final final final final final bosses?
Even as a single pendulum there’s a huge number of possible trajectories it could take, making it effectively random from our perspective.
A simple pendulum is actually a chaotic system in the real world (everything is, for the most part). It’s extremely sensitive to initial conditions. Even microscopically small differences in how hard the cat swipes, the exact angle of impact, tiny air currents, or imperceptible vibrations in your hand holding the toy all get amplified exponentially over time into completely different swing patterns.
The phase space is basically the map of all possible positions and velocities the toy could have. It contains an astronomically large number of distinct states it can pass through. We’re talking numbers so large they’re bounded only by physical limits like the Bekenstein bound. The path through these states depends on initial conditions we simply cannot measure precisely enough, plus constant perturbations from the environment (thermal fluctuations, air resistance, microscopic imperfections in the string).
Add to this that cat toy strings aren’t perfectly flexible. They have some rigidity and internal friction that creates additional complexity and damping. This makes the system even less predictable because the energy dissipates in chaotic ways.
Whether the underlying universe is truly random (quantum indeterminacy) or just deterministically chaotic beyond our ability to measure doesn’t matter for practical purposes. The computational precision required to predict the trajectory exceeds what’s physically possible to measure.
For all intents and purposes, every swat creates a genuinely unpredictable and effectively random experience for the cat.
That sounds like a lot of work to implement, can’t er just procedurally generate it?
::: spoiler
/s
Its even more than a pendulum, as pendulum free swing on a nearly perfectly flexible wire. Cat toys typically swing on a plastic wire with some rigidity, making it less a single pendulum and more a complex system of counterweights against a single large point of inertia.
It is being moved by a multi joint arm.
No, it’s always the same. The “every run is different” in roguelikes is just an illusion, you just are playing with the same patterns over and over till “that” you are waiting for happen, like gambling.
Maybe if you’re bad at the game?
Any good roguelike forces you to adjust your play style, strategy, and tactics with each run.
If you’re playing the same way every time, just hoping for the items/upgrades/whatever that work best together or with your default play style, you’re absolutely doing it wrong.
the point in my comment is about how some games relay in random rewards systems to keep you playing. Every game can be a roguelike if you dare to, like, finish metal slug only with knife when possible, finish a league in a baseball game using only left handed players, and so on
I feel like you don’t know what you’re talking about.
it’s a taut string, not a double pendulum