causal diagrams


original pattern
ladder_diagram_site_swap0

This is a ladder diagram, displaying a juggle pattern of 3 balls.
Time goes from left to right. When a ball is at the upper line, it is
held by the right hand. When it is at the lower line, it is held by the
left hand.

When a ball is thrown, it moves between the lines. (a long move corresponds to a high throw)

Note that the catches and throws are at regular intervals.

maximal hold times
ladder_diagram_site_swap1

Now, the pattern has been adapted, in order to hold balls as long as possible.

Note that as a result, between some throws, a hand is empty for a longer time than between other throws.

physical causal diagram
causal_diagram_site_swap1

In a causal diagram, the time when a ball is hold is not shown.
However, the grey lines show when a hand is empty. These are called “dwell times”.

traditional causal diagram
abstract_causal_diagram_1

In a traditional causal diagram, the “dwell time” is reduced by drawing backward throws.
This yields a concise, and often clearer, representation of a juggling pattern.

pattern generator
Several web-site propose pattern generators (usually called: site-swap generators).
My own contribution is a site-swap generator for poly-rhythms.