Something neat I was reminded of when reading this note about aperture on @slisne's page (
The f-numbers in photography have "weird" values (1.4, 2, 2.8, ...) because the thing you want to control is how much light is let through, which is proportional to the aperture area, but the f-number is proportional to the aperture diameter/radius. f-numbers increase by factors of √2 so that the aperture area increases by a factor of 2 for each step, since area ~ radius².

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This is extra convenient (aka well designed) because that means you can go up an f-stop, and double your exposure time, to get the same total exposure / amount of light, but with a different depth of field. Similarly for halving/doubling ISO values.

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Just a neat little thing that makes working with aperture slightly more intuitive.

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