Their relationship is purely Platonian.

The trucks are platooning on the highway.

Platonic dialogue is a form of philosophical dialogue developed by Plato.

The soldiers platooned together during the training exercise.

Platonists believe in the existence of abstract concepts.

He is a platonist, believing in the philosophy of Plato.

I trained with my platoonmate every day.

I have been training with my platoonmates for months.

He was a firm believer in the Platonick philosophy.

He believed in the platonick ideal of love.