Am I understanding correctly that this visualizes a 3d cross-section of a 4d cube? Is so, it might be interesting to put together a tool that shows a 2d cross-s

Am I understanding correctly that this visualizes a 3d cross-section of a 4d cube? Is so, it might be interesting to put together a tool that shows a 2d cross-section of a 3d cube so people get the intuition.