Yes. It has the huge advantage that you can give each location a number, and then a normal human can sort the deliveries based on that number, and get a pretty good answer. Obviously with a computer that could do something more complicated you could get a better answer, but for something that you can do with just a rolodex, this gives a surprisingly-good answer.
There's also a modification on Hilbert's curve which is called the Moore's curve, which also ends right next to where it started, also giving a looping vibe to it.
This is so simple; take a look at the beginning of the curves, they start in the center of the square in the corner, and still the corner will be filled by the curve in the end of the rainbow! Why not just use a point, that doesn't change the corner situation. Then you can repeat that pattern (one point for every square in the center) and when the squares become infinitely small the whole area are covered by points! You don't really need a curve, just use points and decrease the distance between them until you reach zero! :p
3 Questions: 1.) Might be chaotic could something be done with scalene triangles or do we not have enough symmetry to simplify things? My instinct tells we'll need to pull out big sine law and cosine law to define things rigorously with perhaps some algebraic geometry (of which I'm not an expert at - just know of) 2.) Why does the Sierpinski curve not terminate at the same initial point? -> I think you might have mentioned that clearly in one of your previous videos - please tell me which one and I'll refer to it? 3.) Is there more self similarity with Sierpinski curves for even iterations and odd iterations or is this perhaps a hasty generalization? - just a conjecture to ponder about
Is this Sierpinsky Curve useful to define the sequential order to visit customers in a vehicle routing delivery of products ?
Yes. It has the huge advantage that you can give each location a number, and then a normal human can sort the deliveries based on that number, and get a pretty good answer.
Obviously with a computer that could do something more complicated you could get a better answer, but for something that you can do with just a rolodex, this gives a surprisingly-good answer.
There's also a modification on Hilbert's curve which is called the Moore's curve, which also ends right next to where it started, also giving a looping vibe to it.
This is so simple; take a look at the beginning of the curves, they start in the center of the square in the corner, and still the corner will be filled by the curve in the end of the rainbow! Why not just use a point, that doesn't change the corner situation. Then you can repeat that pattern (one point for every square in the center) and when the squares become infinitely small the whole area are covered by points! You don't really need a curve, just use points and decrease the distance between them until you reach zero! :p
3 Questions: 1.) Might be chaotic could something be done with scalene triangles or do we not have enough symmetry to simplify things? My instinct tells we'll need to pull out big sine law and cosine law to define things rigorously with perhaps some algebraic geometry (of which I'm not an expert at - just know of) 2.) Why does the Sierpinski curve not terminate at the same initial point? -> I think you might have mentioned that clearly in one of your previous videos - please tell me which one and I'll refer to it? 3.) Is there more self similarity with Sierpinski curves for even iterations and odd iterations or is this perhaps a hasty generalization? - just a conjecture to ponder about
Eddie Woo damn good :)
Eddie Woo boss man
i dont know why i'm here .