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Zaps and Passes - Explanation on finding Sequences

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← Back to overview Zaps and Passes (and Flips)

This page has the explanation on how the sequences with only zaps, passes and zips were found from siteswap and how they form connected series of patterns with 4-6 clubs as a derivative of the 7 club 1-count.

Period Seven

7777777  base pattern 7 club one-count  

2757777  6 clubs

2255777  5 clubs - 
2752757  

2255275  4 clubs
period 7 patterns, 7.7 substituted to 2.5 to have one club less

There is a series similar zo the Selfless Passing series - you get patterns that are all similar in nature, but have different difficulty, depending on the number of clubs in the pattern. And so these are good patterns, to "climb up the difficulty ladder" for these throw types.

Here, one can switch 7.7 against 2.5 (where . is any siteswap number) and as with selfless passing, one substitution means one club less.

Period Nine

777777777  base pattern 7 club one-count

275757777  6 clubs

225555777  5 clubs
275255757

255255255 4 clubs (it's zap zap zip)
period 9 patterns, 7.7.7 substituted to 2.5.5 to have one club less

Something similar is possible for period 9, but this time you need to include two zaps for each substitution, i.e. you swap 7.7.7 against 2.5.5. Again, the . is any siteswap number and stays unchanged. Explanation: you subtract the period from one number "7-9=-2", then move the -2 two places to the left and from 7.-2 you get 0.5. You repeat with the zero and so instead of 7.7.-2 you get 2.5.5, which is the substitution result mentioned above.

If you keep doing that until you are at four clubs, you arrive at "255 255 255", which is just Zap Zap zip - 552, so it's not listed here.

Period Eleven

The same is possible again on period 11 and you get 3 zaps in each substitution:

77777777777  base pattern 7 club 1-count

77772757575 6 clubs

77722555555 5 clubs
72752555575
(46752557572) 5 clubs bonus w flip
period 11 patterns, 7.7.7.7 substituted to 2.5.5.5 for one club less

Period 9 and 11 patterns may seem daunting, but because there are only three possible throws involved, there often is quite a lot of repetition in the pattern which allows you to group repeating parts making the sequence not too hard to remember. What might be more difficult is counting up to 7 passes until the sequence changes on the first zip.