Why are we living in a world of 3 spatial dimensions? How would a world of 2 dimensions look or a world of 4 dimensions? This game gives you first hand impressions of a 4 dimensional world.

Like a photo is a *2 dimensional* presentation of a *3 dimensional* arrangement, the game gives you a *3 dimensional* presentation of a *4 dimensional* arrangement. To see this presentation indeed 3 dimensionally like a 3D movie in cinema, the game offers you several view modes:
"Red-cyan" is the recommended mode. You need red/cyan glasses in order to see it in 3D.
If these are not available and you are able to see "magic eye" pictures then just try parallel or crossed eye mode. You have to mentally overlay the left and the right picture. It is of help to use the adjustment panel to adapt your eye-width and also screen resolution, etc. The depicted squares should have the size 1cm or 1inch respectively and in the 3d picture below you should determine the word "front" being in front and the word "back" being at the back.
In this menu you can also find the documentation of the game.

When you start the game you are in the first and easiest level named "Bar".
You can see two objects in this scene.
The aim of the game in each level is to assemble the presented pieces into the goal shape.
So the first thing you do is to inform yourself about the goal shape by pressing the 'goal' button or 'g' on the keyboard.
Then press it again to come back to the original scene.
You can move the pieces either with the cursor keys; left-right and up-down moves the selected object as expected; *shift* left-right moves it along the z-Axis and shift up-down moves it along the forth axis which is named 'w'.
You can see the actual position in the object control panel which you can also use to move the object .
You can select a different object by pressing here or 'v' on the keyboard.
Rearranging the objects means not only to move them but also to rotate them. The rotation is specified by an axis and a second axis into which the first axis gets transformed by the rotation. You can perform the rotation also in the object control panel.
For example the rotation xy transforms the x axis into the y-axis. Or the rotation yz transforms the y axis into the z-axis or  yw transforms the y axis into the w-axis.
You can always drag the mouse to rotate the view if some lines in the mesh are not properly visible.
If you messed up the view you can recenter it by pressing reset.
If you get more familiar with the game it is less cumbersome to use keys to specify the rotation.
There are the four fingers of your left hand, which you place on q,w,e,r (US keyboard).
Each finger corresponds to an axis: the point finger is the x-Axis, the middle finger is the y-Axis, the ring finger is the z-Axis and little finger is the w-Axis.
Pressing two of these keys at the same time does the corresponding rotation.
The key you press first indicates the axis which gets transformed into the axis you press second.

Now you know how to place and rotate the given pieces. It is time to combine them.
Whenever two objects touch each other you can press the button 'combine' or 'c' on the keyboard to make one piece out of them or glue them together. If you combine in a way that the goal can not be attained anymore you have to repeat the level. If combining the pieces yields the goal shape - in whatever position - you get transported to the next level.