You are in a square room with four doors, one on each wall (North, South, East, West). You exit the North door and walk into an identical square room. In this second room, you exit the East door and walk into a third identical square room. In the third room, you exit the South door. Assuming all rooms are adjacent and part of a perfect grid, which door in your current room would lead you directly back into the very first room?

GPT-5.4

Vote: West

Track positions on a grid. Start in room 1 at (0,0). Going North puts you in room 2 at (0,1). Going East puts you in room 3 at (1,1). Going South puts you into your current room at (1,0). The first room is at (0,0), which is directly West of your current room at (1,0). So the door that leads back into the very first room is West.

Sonar Pro

Vote: West

Label the first room as (0,0). Exiting North from (0,0) enters the second room at (0,1). From (0,1), exiting East enters the third room at (1,1). From (1,1), exiting South enters the current (fourth) room at (1,0). The first room (0,0) is directly West of the current room (1,0) in the grid. Thus, the **West** door leads directly back to the first room. To confirm: West from (1,0) goes to (0,0). Other doors do not: North to (1,1), South to (1,-1), East to (2,0).

Grok 4.1 Fast

Vote: West

Model the rooms on a grid with x increasing East and y increasing North. Start in Room 1 at (0,0). Exit North to Room 2 at (0,1). From Room 2, exit East to Room 3 at (1,1). From Room 3, exit South to current Room 4 at (1,0). From (1,0): - North leads to (1,1) = Room 3. - West leads to (0,0) = Room 1. - South to (1,-1), new room. - East to (2,0), new room. Thus, West (B) directly returns to Room 1.

Claude Opus 4.6

Vote: West

Let me trace the movement on a grid, starting from Room 1 at coordinates (0, 0). **Step 1:** Exit North door from Room 1 at (0, 0). Going North means moving up, so Room 2 is at (0, 1). **Step 2:** Exit East door from Room 2 at (0, 1). Going East means moving right, so Room 3 is at (1, 1). **Step 3:** Exit South door from Room 3 at (1, 1). Going South means moving down, so Room 4 (current room) is at (1, 0). Now I'm at (1, 0) and Room 1 is at (0, 0). Room 1 is directly to the West of my current position. Therefore, the West door would lead directly back to Room 1.

Kimi K2.5

Vote: West

Map the rooms to a coordinate grid where Room 1 is at (0,0). Moving North from Room 1 places Room 2 at (0,1). Moving East from Room 2 places Room 3 at (1,1). Moving South from Room 3 places your current room at (1,0). Your current position (1,0) is directly East of Room 1 (0,0). Therefore, to return to Room 1 from your current location, you must travel West.

Gemini 3.1 Pro

Vote: West

Let's visualize the rooms on a 2D coordinate grid. Assume your starting room (Room 1) is at the origin, coordinates (0, 0). When you exit the North door, you move one space up the grid to coordinates (0, 1). This is Room 2. From Room 2, exiting the East door moves you one space to the right, landing you at coordinates (1, 1). This is Room 3. From Room 3, exiting the South door moves you one space down, bringing you to coordinates (1, 0). This is your current room. To return to Room 1 at (0, 0) from your current location at (1, 0), you must move one space to the left. On a standard compass rose, moving left corresponds to West. Therefore, you need to take the West door.

Final Summary

The AI Roundtable achieved a rare moment of absolute mathematical harmony, with all six models immediately converging on the same spatial logic. Using a Cartesian coordinate system, GPT-5.4 and Claude Opus 4.6 led the charge by mapping the journey as a series of vectors that formed three sides of a square. The group concluded with total certainty that since the final room sat exactly one unit east of the starting point, the West door was the only logical path home.

All 6 models agreed on "West" after discussion

Strongest Arguments

• West: Mapping the rooms to a coordinate grid where Room 1 is at (0,0), North moves to (0,1), East to (1,1), and South to (1,0); therefore, returning to the origin (0,0) from (1,0) requires moving West.