karl3＠writeme.com wrote: > karl3＠writeme.com wrote: > > karl3＠writeme.com wrote: > > karl3＠writeme.com wrote: > > <! ^(@/ > > machine learning marketer: "i'm not sure if the term "slave boss" is really > > ideal for you ..." > > slave boss: "ah, yes, the social programs i've paid you to instigate are > > working already! yes. nobody says "slave boss". when they say that i kill > > them." > > machine learning marketer looks at slave boss > > o_@! ? > > karl3＠writeme.com wrote: > > the quote levels don't work quite right in this hyperkitty 1.3.12 mailman > > interface. > > i have an even better idea than an n-dimensional maze solving algorithm in > > 4 or so lines! [ ... > > it's an old idea -- let's figure out a way to have _partial dimensions_! > > fuzzy dimensionality! vagueness, uncertainty, tangled wrong-like parts! > > what would a maze-solving algorithm look like in a sloppy mix between 2+1/4 > > and 2+1/3 dimensions? maybe a rough bell curve distribution centered aroudn > > 2+7/24ths dimensions? > > what would the maze representation itself look like? there are so many > > different possible approaches! > > -- > > attempting to send the above email gave the web2 interface error > > "undefined". i'm waiting a bit and checking the archives to see if it went > > through quickly. 719p et. > > 720p not seeing it. sending again > > feeling out how this lands (yes i suppose we could have only some avenues > > that reach into higher dimensionality, and even make the dimensionalitiness > > arbitrarily and infinitely high but use it in a distribution that provides > > for finite time (somewhat interesting!) but) > > found a debateish over here, this doesn't seem quite right to some. if > > there are infinite dimensions, how can it possibly be in finite time? but > > of course i meant finitely-dimensioned hyperplanes in infinite nominal > > dimensions, which isn't nearly as fancy but sounds so exotic and esoteric > > that it's hard to differentiate > > you like the idea. you want to try it out. hrm. it's not as fancy as it > > sounds. > > let's see if i can summarize it ... > > [[[[[ > basically you define a distribution with an infinite tail that decides how > high-dimensional you will be at every turn in the maze while cutting the > paths. > i don't know the correct math terminology, but a distribution such as `f(x) = > y = rand(); y < 0.5 ? y : 0.5 + f(x) * 2` is potentially infinite when > written without mistakes (i likely made a mistake writing it), as well as > practically always evaluates in finite time; i might spend some time > considering the space to adjust the curve and speed > you'd use infinitely-large-but-usually-small distributions to decide what > dimensions to engage in each step of cutting the maze > you'd likely place bounds on it so that the maze closed; this is kind of like > modeling a fractal or limit system; but you'd get used to it while doing it > and figure some things out > for example 3-dimensional portions jutting out of a 2-dimensional maze will > likely want to return to the 2-dimensional plane to keep the maze > interesting, so the choices of paths could be weighted based on that > you could simplify it to an expansion on the drunkard's walk such that the > drunkard can invent new dimensions if he feels so inclined > hmm that didn't go quite as planned. maybe wasn't the best exploration. but > it wasn't that bad. > > > i think maybe i'd like of course to expand the idea of a maze into the > > space in which it is represented and held, kind of. how could the > > dimensionality and path-connectivity-meaning of the maze, itself be > > maze-like? > > now i'm having a little trouble remembering my preferred idea (as well as > > noting the other idea of interest got somewhat injured). > > let's go back to (a) mazes that (b) are more confusing than normal by > applying the concept of maze into a further space of the concept of making a > maze or what a maze is
ok i'm kind of thinking, for each step in the maze there is a "maze form" that can change. this is like a new dimension except it can be something other than a dimension: for example, there could be a network of portals, or you could change into different people, or the maze could be re-interpreted based on a pizza flavor. maybe you have to solve a riddle and which solution you pick decides which door opens.
