Not menage-a-trois, but Carc-a-trois. "Trois" is French for "three", and this variant is so-named because everything revolves around the Number 3. Probably only takes 3 minutes too!
1. Prepare a 3x3 grid to play on. 2. Distribute 3 meeples to each player (I've only tried this with 2 players; not sure if more would work) 3. Remove all the tiles from your Carc set that feature only roads and fields and nothing else. Shuffle and place in a face-down pile. Draw 3 to create the display.
1. Draw one tile from either the display or the draw-pile. If you draw from the display, replenish to 3. 2. Place tile anywhere on the 3x3 grid. Unlike in normal Carc, the tile you place does not have to connect to an already placed tile. 3. Place meeple on the tile you just placed (optional). Your goal is to score the most points by strategically claiming farms and roads for your colour.
1. The player who lost last time starts, OR determine first player with rock-paper-scissors. 2. Players take turns until the entire 3x3 grid is filled. 3. Determine the winner by scoring the roads and farms claimed by each colour. 4. Play three games as described. You can either play best of three, or keep cumulative score totals to determine the overall winner.
1. Claimed roads score the same as in normal Carc: 1 point per road tile. 2. Claimed farms score 1 point for every tile in a contiguous green area.