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R Meager's avatar

i havent finished this and maybe i never will but i enjoyed what i read so far and need to ask: why do you think the trapezoidal approximation (the second thing you showed) doesn't improve much over the rectangle? initially, i thought "aha this is an example of taxicab metric behaviour" but it clearly isnt, we're going along slanted lines now, and anyway smaller rectangles is better (right?) so it cant be like taxicab at all...

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