I disagree, it's a nifty graphic, but unless you already know what the equations mean they're not going to explain it to you. There's no real connection between either colours or shapes, and things like the disappearing elements in the quadratic are totally inexplicable.
And lo the difference between learning styles - the letters and numbers made perfect sense to me... until I saw the pictures which confuse my head and make my brain hurt.
That last set of pictures is a bit twisty to understand. I think it's actually easier to try to figure out the hypercube from the algebra than the other way around.
I gather that the dotted line may mean an extra dimensional depth of "a" in the first instance and of "b" in the last instance. The paired elements with the apparent tandem paired depths of "a" and "b" in the 2nd, 3rd and 4th instances are not helpful. It's a bit of a jumble. I'm not convinced that there are two 4th dimension depths in those instances when there is but one 3rd dimension depth in the 2nd and 3rd instances of the 3D cube example. What could help is if the 2nd and 3rd instances in the (a+b)³ the elements were corded to illustrate that they all were (a-b) in depth (z-axis); rinse and repeat with the 2nd, 3rd & 4th instances of (a+b)^4 for direct comparison (w-axis).
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