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Originally posted by wolfgang59Oh. Sorry. I was just so excited. It was a surprizing answer to me, so thanks for the question.
Well I guess that spoils it for the non-Mathematicians! I was hoping for some intuitive guesses before the calculators came out!
What if it were Jupiter and not the Earth though? ;-)
Allright, let's complicate a little bit further:
You have this closed circuit racing track of Scalectric, no eight.
What about if you have two crosses, where left track become a right track and vice versa? Does this alter the previous answers?
Where and how should you put them on the track to make it calculable?
Originally posted by FabianFnasI guess you'd do each loop separately and then add them.
Allright, let's complicate a little bit further:
You have this closed circuit racing track of Scalectric, no eight.
What about if you have two crosses, where left track become a right track and vice versa? Does this alter the previous answers?
Where and how should you put them on the track to make it calculable?
i've passed math courses through college calculus, so I don't dispute the math. However, it seems extraordinarily counterintuitive to me that 1 meter more ribbon around a golf ball's equator remains "magically suspended" by the same height as 1 meter more ribbon does around Jupeter's equator. This intuitive feeling is intensified while I am moving on a long journy over the surface of the earth. Therefore, I have postulated what physics would be like if pi was a function of diameter (if pi was greater for very small diameters (compared to human scale) and smaller for very large diameters) and I think that very small spheres might seem to behave like standing waves to observers of human scale, and that apparent red shifts and time dilations might manifest themselves when human scale observers scan the overall universe. Anyone care to comment on my absurd thought experiment?
Originally posted by m3mnbgl5n79I wouldn't want to stand in any buildings that you had a hand in.
i*** Therefore, I have postulated what physics would be like if pi was a function of diameter (if pi was greater for very small diameters (compared to human scale) and smaller for very large diameters)... Anyone care to comment on my absurd thought experiment?
Originally posted by FabianFnasOkay, you have non-eight track and you want the left end right track equally long. Then you put two cross-overs somewhere. Where do you put them?
Actually, if you put them at places with some certain properties you don't have to calculate anything.
Yes, I played with Scalectric too when I was young.
Answer: You put the two cross-overs anywhere as long they are parallell to eachother but in opposite directions. Then you are sure that the two tracks are equally long.