English: The visualization was made in the R environment and inspired by Suri, M. (2022). The big bang of numbers : how to build the universe using only math. New York, NY, W.W. Norton & Company, p.347. The value r = 1 yields Manhattan distance and r = 2 is the usual Pythagorean distance.
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Captions
Animation using a heatmap to visualize the function d(x, y) = (abs(x)^r + abs(y)^r)^(1/r) for various values of r., where d(x, y) is the distance from (0,0) to the point with cartesian coordinates (x, y).