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Linking patterns together
You can use the methods for checking patterns to work out how to
link patterns together. How can you switch from the three ball cascade
into 441, or 504? Let's look at both of these examples. We'll start with
the switch from the cascade into 441.
First assume that you can just switch straight from one pattern
into the other:
....333441441....
Once 441 is up and running, we know that it'll work as a pattern,
all we're interested in is the transition from one pattern to another.
We need to check that none of the throws from the three ball cascade clash
with the first few throws of 441. So we just use the ideas from the page
on checking asynchronous patterns.
Pattern:....333441441....
Check: .......333144....
In this case none of the throws clash, so we can switch straight
from the cascade into 441.
Reading the checking numbers in reverse shows that you can switch straight from 441 to the cascade by juggling ...4414413333...
What about switching from the cascade to 504?
Again assume that you can just switch straight from one pattern
into the other:
Pattern:....333504504....
Check: .......333
054...
0
This time there's a clash. So we can't switch straight from one
pattern to the other, we need to find some linking throw(s).
The problem is that the blue 3 clashes with the purple 0 and there's
no number under the black 5. So we can change either the blue 3 or the
purple 0 to fix things. The black 5 is five beats after the blue 3, so
we can change the 3 into a 5 to get:
Pattern:....353504504....
Check: .......3035054...
So one possible link is ...33353504504...
To find another possibility we can change the purple 0:
The black 5 is two beats after the purple 0, so we can change the
0 into a 2 to get:
Pattern:....333524504....
Check: .......3332054...
So another possible link is ...333524504...
In both of the above examples if you read the checking numbers in reverse you get transitions from 504 to the cascade. One transition is ...50450530333... the other is ...504502333...
Let's look at some synchronous examples. How can we link (4,4) with
(6x,4)(4,2x)(4,6x)(2x,4)?
Again let's assume that you can just switch straight from one pattern
into the other:
Pattern:....(4,4)(4,4)(6x,4)(4,2x)(4,6x)(2x,4).....
Check: ...............4
4 4
4 2x 4 4
6x 4
2x
In this case none of the throws clash, so we can switch straight
from (4,4) into (6x,4)(4,2x)(4,6x)(2x,4).
How can we link (4,4) with (6x,2x)(2x,6x)?
Let's assume that you can just switch straight from one pattern
into the other:
Pattern:....(4,4)(4,4)(6x,2x)(2x,6x)(6x,2x)(2x,6x).
Check: ...............4
4 4
4 2x 2x
6x
2x
This time there's a clash. So we can't switch straight from one
pattern to the other, we need to find some linking throw(s).
The problem is that the yellow 4 clashes with the red 2x, and there's
no number under the second blue 6x. So we can change either the yellow
4 or the red 2x. The second blue 6x is six beats after the yellow 4, so
we can change the 4 to a 6:
Pattern:....(4,4)(6,4)(6x,2x)(2x,6x)(6x,2x)(2x,6x).
Check: ...............4
4 2x
4 6
2x 2x 6x
So one possible link is ....(4,4)(6,4)(6x,2x)(2x,6x)(6x,2x)(2x,6x)....
To find another possibility we can change the red 2x:
The second blue 6x is a right hand throw four beats after the red
2x, which is a left hand throw, so we can change the 2x to a 4x:
Pattern:....(4,4)(4,4)(6x,4x)(2x,6x)(6x,2x)(2x,6x).
Check: ...............4
4 4
4 4x
2x 2x 6x
So another possible link is ....(4,4)(4,4)(6x,4x)(2x,6x)(6x,2x)(2x,6x)...
Reading the checking numbers in reverse gives two possible links from (6x,2x)(2x,6x) to (4,4). The first is ...(6x,2x)(2x,6)(4,2x)(4,4)... and the second is ...(6x,2x)(2x,4x)(4,4)... |