# French 3-count Triangle

### From PassingWiki.org

French 3-count Triangle's Properties |
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Number of Objects | 10 | Asynchronous | No |

Number of Jugglers | 3 | Hurries | No |

Moving | No | ||

Prechac | 3p1 4 3 | ||

Sequence | P S S2 |

## Derivation

Here is a derivation of this pattern from French 3-count.

- Start with French 3-count in Préchac notation, which is 3.5p 3 4.
- Undo the Préchac transformation, i. e. substract half the period from the pass (and cancel "p"). Result: 2 3 4. This is the solo siteswap underlying French 3-count, and it has 3 objects, that is half an object per juggler less then French 3-count.
- Redo the Préchac transformation for three persons, i. e. add a third of the period to the 2 and annex p1. Result: 3p1 4 3.

"p1" has triple meaning:

- we did one Préchac transformation,
- we added one club to the passing pattern, so that we have 3 jugglers times 3 clubs per juggler plus 1 club equal 10 clubs now and
- this pass goes to the next passer in the sequence, i. e. J1 to J2 to J3 to J1.

Another Préchac transformation upon 3p1 gives 4p2 3 4, has 12 clubs and the double passes head for the second next juggler in the row, as you can see here:

The same procedure can be applied to other patterns, e. g. Why Not?, see Why not triangle and Why not star.