Cute, but having trouble seeing how that's any better than the grade-school algorithm it's based on. (What, we have to add in unary now? This is progress?) You still have to carry, you still perform n^2 operations for n-digit numbers; the difference is you need a lot more paper and time, and it makes for a better video. (And God help you if you have to multiply any nines...)

Now, someone show me a convolution-based n log n multiplication algorithm you can do quickly with pen and paper and I'll be impressed. :)