Kitchen-table and parallel polyamory name the two poles of metamour contact — one network hangs out together like family, the other keeps each relationship running on its own separate track.
Picture the kitchen table. Everyone in the network — partners, metamours, the whole polycule — is comfortable enough to sit around it, share a coffee or a beer, and actually enjoy the company. That's kitchen-table polyamory: the connections between people are part of the point, not a side effect. Now picture the opposite. Everyone knows the others exist, but the relationships run on separate tracks that never really cross. Your partner's other partner is a name, not a face at brunch. That's parallel polyamory.
Neither is the advanced level. This is the part people get wrong — they read "kitchen table" as the enlightened big-happy-family endgame and "parallel" as emotionally stunted or jealous. It isn't a ladder. Some people thrive in a tangled, communal web; others need clean walls between their relationships to keep each one its own thing. Laura Boyle, who writes about this at length, calls kitchen-table poly "choose your own adventure—in committee" — which lands, because committees are not for everyone.
In practice almost nobody lives at the pure extreme; most people sit somewhere on the spectrum, and there's even a name for the middle — "garden party" poly, where metamours are friendly at the barbecue but don't share a Google Calendar. The useful move isn't picking a team, it's naming what you actually want and checking it matches what your people want. Like a good set, it's about reading the room and building something everyone can move to — not forcing one track on a crowd that came for another.