-- Each vert has a position and a list of rooms attached to it.
  -- The position of a vert is either a final_position or a list of suggested_positions.
  -- Each rendered room has a list of the verts that shape it, indexed by which corner the vert is.

  -- 1.  Start with the central vertex as the one at the top left of center_room.  It has final_position set.
  -- 2.  Find all rooms that share it, in order.
  -- 3.  Add adjacent verts equally spaced in a circle around it, attached to the rooms that use them.
  --       If multiple adjacent verts have final_position set, verts between them are apaced along the arc between.
  --       If only one adjacent vert has final_position set, it is treated as the beginning and end of the arc.
  --       If no adjacent vert has final_position set (should only occur for first vert), the arc starts at -y,
  --         because we start with the top_left corner.
  --       Positions added to verts are added to the list of suggested_positions.
  -- 4.  Repeat 2 and 3 for all verts that have final_position set that have not already been processed.
  -- 5.  Calculate final_position for all verts that do not have it set by averaging all suggested_positions.
  -- 6.  If the calculated final_position is greater than room_width * 2 distance from any suggested_positions, mark
  --       the room as having unsettable_final_position.  Otherwise, set final_position.
  -- 6.  Repeat 4 and 5 until they do not process any verts.

  -- To determine the rooms that share a vert:
  -- 1.  Start with the first room that is attached to the vert.
  -- 2.  Find which corner the vert is.
  -- 3.  Do one of the following, depending on the corner: (Navigates clockwise around the vert)
  -- 3a.  If the vert is the top_left corner, exit through the left.
  -- 3b.  If the vert is the top_right corner, exit through the top.
  -- 3c.  If the vert is the bottom_right corner, exit through the right.
  -- 3d.  If the vert is the bottom_left corner, exit through the bottom.
  -- 4.  Add the next room to the list and the vert to the room.
  -- 5.  Repeat 2 through 4 until you return to the starting room.

  -- To determine which corner a vert is in a newly entered room:
  -- 1.  Switch based on the rot of the connection the room was entered through, and the side of the room that was
  --   exited, using the fact that navigation proceeds clockwise.

  -- Rendering:
  -- Iterate through rendered_rooms, adding lines between their verts to the line list.
  -- When adding a vert with unsettable_final_position, use the suggested_position that is closest to the first vert 
  --   in the room with final_position set.
  -- If all verts for a room have unsettable_final_position, pick the pair of suggested_positions for top_left and 
  --   top_right that are closest and pretend they have final_position set.
  -- Place the 4 lines of the room the player is in in their own list.
  -- Place the 4 lines of the room the cursor is on in their own list.
  -- Render line lists.