## Petronella Permutations in 4 face 4 formation

If you have a four facing formation, you could do petronellas in two small groups of four; or petronellas in a big group of eight.

Four petronellas in groups of 4 returns everyone to their starting location. But four petronellas in a group of 8 would only get people halfway around; swapping everyone with their opposite.

The fun (or crazy) thing is combinations of small circle and big circle petronella.

If you started with a group

A B C D

H G F E

then a sequence of petronellas starting in small groups of 4, then all 8, then in small groups of four on the sides, then all 8 (which I’ll call 4-8-4-8) returns half the dancers to their original configuration but swaps the other half (bold dancers return to starting places)

**A** B **C** D 4-8-4-8 **A** F **C** H

H **G** F **E** D **G** B **E**

If our dancers were in standard 4 face 4 improper, that swaps the gents.

If we take a different sequence of petronella in a group of 8, then 4s, then 8, then 4s.

A **B** C **D** 8-4-8-4 E **B** G **D**

**H** G **F** E **H** C **F** A

Which swaps the women.

The other pemutations of equal numbers of big and little petronellas:

Can swap one couple on the diagonal and return the other couple

**A B** C D 8-8-4-4 **A B** G H

H G **F E** D C **F E**

A B **C D** 4-4-8-8 E F **C D**

**H G** F E **H G** B A

Or swap ends or middle

**A** B C **D** 8-4-4-8 **A** F G **D**

**H** G F **E** **H** C B **E**

A **B C** D 4-8-8-4 E **B C** H

H **G F** E D **G F** A

As to WHY you might need to work out these permutations (besides the joy of looking at group theory), I’ve used 4 petronellas as half of a new Tempest Formation dance, Bohrd with Models.

[…] For a brief look at the permutations of Petronellas in a 4 face 4 configuration, look here. […]