The points that you view are 1 dimensional at a given moment in time but we see a line perpendicular to its plane of existence therefore it has 2 dimensions. However, as you are moving forward into the object you witness the form of the object in a direction perpendicular to the line of movement - the 2nd dimension. As the object of the game is to guess the object, that can only exist in 2 dimensions, it cannot be 1D.
If you think about it, a 1D game would be mightily dull; unless staring at a dot floats your boat.
If you think about it, a 1D game would be mightily dull; unless staring at a dot floats your boat.