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I take it you've never examined thev theoretical landscape of matrix multiplication algorithms?

The splitting you describe could be carried out just as easily with human transportation as with fruits and vegetables. I still object that it isn't logarithmic in either the space or trip requirement though. It's linear with one of those constant factors that you say are irrelevant. Just as you can never move a human using less than a human sized volume, you can never move a banana using less than a banana sized volume. Hence, linear.