hook: Traveling petronella triplet
formation: Triplet, 1s and 2s improper
A1  8  Ones and twos balance and petronella 1½ places, 1st ladle face threes below

8  In groups of three, balance and petronella 1 place, 3rd ladle face up
 
A2  8  Top four balance and petronella 1 ½ places to a ring of four

4  Same four balance the ring
 
4  pass through to partners ⁋
 
B1  16  partners balance & swing

B2  8  Ones and threes circle left ¾

8  neighbors do si do once and threes face up

The action in phrases 1  3 ends up switching the 1st ladle and 3rd gentlespoon from top to bottom while also flipping the sides that the 1s and 3s are on. The 2s, as it turns out, go nowhere. The name comes from one of the fundamental properties of Euclidian geometry which says that the sum of the lengths of two sides of a triangle are greater than or equal to the length of the third side. It also generalizes to various other mathematical spaces. In this case, it seemed appropriate because of the triangles and the fact that the 2s end up doing somewhat less than the 1s and 3s.