/vt/ - Virtual Youtubers

>>27684089
so, instead of calling it a cylinder, think of it as a container for fuel that you put on a stove of infinite size, there are kettles, pans, and things in between. a pan with sides that go up to the height of a kettle is called a pot, and it can contain more fuel than either a pan, or a kettle of the same radius and height, respectively. the radius is the surface area of the container that touches the stove, and thus the area where heat is transferred from the stove to the container, and finally to the fuel. how much fuel can the container contain? it's not just how tall it is, because a sufficiently large pan could contain more fuel than the average kettle. if we had x ounces of fuel, and we decided to represent the size of pans, pots, and kettles that would be at max capacity with exactly that amount of fuel, we would notice that the height would decrease at an exponential rate as the radius increased, and vice versa, and that the larger the radius, the more surface area for the fuel to come into contact with the stove on. this means the fuel burns faster the larger the radius is. as we reach absurdity in scale, we'll notice that the largest possible radius that contains the fuel is a flat disk that is only as wide as the fuel is spread out, so there is a limit to how large the radius can be, whereas the largest possible height that still contains the fuel would approach infinity as the radius gets closer and closer to 0, never fully reaching 0 because then there would be nowhere to contain the fuel. in a similar way as the square-cube law, the closer the radius gets to 0, the faster the height approaches infinity.
the fuel represents the energy from chuubanite of any given affinity. the surface area represents how fast the energy can be converted into magic power (steam) and is affected by how broad the chuubanite's concept is. the radius decays at an exponential rate in relation to broadness. the height represents how long it would take for chuubanite of that affinity to run out of energy and is affected by how present the concept is in the universe at any given time. this analogy exists to determine the strength, and longevity of the ability of chuubanite of any given affinity while in use. chuubanite with a highly specified concept that is highly present in the universe would have a pot (large radius, large height) shaped container, and would be able to burn a large amount of fuel over a long period of time. a highly broad concept that is highly present would have a kettle (small radius, large height) shaped container, and would be able to burn a small amount of fuel over a long period of time. a specific concept that is not very present would have a pot (large radius, small height) shaped container, and would be able to burn a large amount of fuel over a short period of time. a broad concept that is not very present would have a cup (small radius, small height) shaped container, and would be able to burn a small amount of fuel over a short period of time.
there are a few variables that have yet to be defined, some that are unique to every concept, and therefore must be done for every new type of chuubanite. 1) the value of a single unit of each variable is left undefined. ideally, we will decide on a specific number for each variable that will then become axioms that will be used whenever they are necessary going forward. 2) every chuubanite ability will require a different amount of energy to have a different degree of an effect, this may be determined by balancing as decided by the thread. 3) every chuubanite ability will last for a different amount of time, this can be mitigated in-universe by explanations on how it's ability can be used in a more energy-efficient manner. 4) every concept will have a different degree of broadness, this will be determined by how concisely a concept is described, or "how many parent concepts are required for the existence of said concept". 5) every concept will have a different degree of presence, this will be determined by how expansively the concept can be applied, or "how many child concepts require the existence of said concept".
i feel pretty good about this explanation, but i have no concrete idea as to how to make this a single, unified equation with dynamic, and responsive variables that can help us determine how best to represent each chuubanite concept and ability. mathanon, if you don't mind, this is where i would like you to come in. hopefully you can understand all of this well enough. my drawing sucks, so the image may be deceptive in some areas, but just remember that the written section takes precedence over anything you might see in the visualization.