3 ms·

I don't get it, first it says the numbers mean how many BEATS it's in the air, next it says the numbers mean how HIGH it's in the air. Does the same number mean

I don't get it, first it says the numbers mean how many BEATS it's in the air, next it says the numbers mean how HIGH it's in the air. Does the same number mean both? E.g. it says using 3 balls is 333. So does juggling with 3 balls but throwing them higher in the air become 444 then? That makes no sense, because it also said that even numbers mean the ball lands in the same hand.

plorkyeran 14y ago
Time spent in the air and height are directly related, so yes, the same number can mean both.
T-hawk 14y ago
No. Juggling 3 balls but throwing them higher is still 333. It's just that the beats are slower and so each beat represents more hangtime and therefore height. Another possibility is to throw all three balls very high, so that all three are in the air at the same time for a moment, perhaps two extra beats. So each ball lands not three, but five beats after it was thrown. And no throws or catches occur during those two extra beats. Siteswap notation expresses that as 55500. There we go, the notation has helped us realize that this action is identical to throwing the first three balls of a five-ball cascade.
ColinWright 14y ago
I can't find anywhere that it says the number is how high it goes. It says clearly: > These sequences encoded the number of beats of each > throw, which is related to their height and the hand > to which the throw is made. It doesn't say that a "4" is twice as high as a "2" (although an earlier draft did - I managed to get that fixed). When you throw a ball, the number is how many beats later the ball will next be thrown. Simplifying, some of that is in the air, and one beat (or so) is in the hand, so the flight time is one less than the number shown. That would mean that a "5" is in the air for four beats, and thus will go 4 times higher than a "3", which is in the air for two beats, or half the time. The truth is more complicated, because your hands aren't full for half the time (which is the one beat assumption above), and the dwell time (percentage time your hand is full) actually varies (although is usually around 65% to 70%). For the numbers to be used it's the beat time that matters, and you can throw higher by slowing the beat, but that still leaves a "3" as a "3" and that doesn't convert it into a "4". All these details are covered in the gentle introduction, but this specific question is dealt with in even more detail in the "Technical Notes" section: http://www.solipsys.co.uk/new/SiteSwap.html#technotes http://www.solipsys.co.uk/new/SiteSwap.html#technotes

plorkyeran 14y ago

Time spent in the air and height are directly related, so yes, the same number can mean both.

T-hawk 14y ago

No. Juggling 3 balls but throwing them higher is still 333. It's just that the beats are slower and so each beat represents more hangtime and therefore height. Another possibility is to throw all three balls very high, so that all three are in the air at the same time for a moment, perhaps two extra beats. So each ball lands not three, but five beats after it was thrown. And no throws or catches occur during those two extra beats. Siteswap notation expresses that as 55500. There we go, the notation has helped us realize that this action is identical to throwing the first three balls of a five-ball cascade.

ColinWright 14y ago

I can't find anywhere that it says the number is how high it goes. It says clearly: > These sequences encoded the number of beats of each > throw, which is related to their height and the hand > to which the throw is made. It doesn't say that a "4" is twice as high as a "2" (although an earlier draft did - I managed to get that fixed). When you throw a ball, the number is how many beats later the ball will next be thrown. Simplifying, some of that is in the air, and one beat (or so) is in the hand, so the flight time is one less than the number shown. That would mean that a "5" is in the air for four beats, and thus will go 4 times higher than a "3", which is in the air for two beats, or half the time. The truth is more complicated, because your hands aren't full for half the time (which is the one beat assumption above), and the dwell time (percentage time your hand is full) actually varies (although is usually around 65% to 70%). For the numbers to be used it's the beat time that matters, and you can throw higher by slowing the beat, but that still leaves a "3" as a "3" and that doesn't convert it into a "4". All these details are covered in the gentle introduction, but this specific question is dealt with in even more detail in the "Technical Notes" section: http://www.solipsys.co.uk/new/SiteSwap.html#technotes http://www.solipsys.co.uk/new/SiteSwap.html#technotes