Wiktionary
methexis
n. 1 (context theatre English) An originally Ancient Greek form of theatre in which the audience participates and improvises. 2 (context philosophy English) The relation between a particular and a Platonic form.
Wikipedia
Methexis
In theatre, methexis (; also methectics), is "group sharing". Originating from Greek theatre, the audience participates, creates and improvises the action of the ritual.
In philosophy, methexis is the relation between a particular and a form (in Plato's sense), e.g. a beautiful object is said to partake of the form of beauty.