2026-09-24 23:22 UTC
@tonwood@mathstodon.xyz Because some of the spheres are much smaller than a pixel. The formula itself produce an infinite amount of 'spheres' (not exact spheres, but some extremely similar looking shape). Then the rendering distance limit makes the amount finite, but much of them are so far away that counting them is not possible without more information than the image has.
Replies (2)
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@Microfractal@mathstodon.xyz 2026-09-24 23:25
@tonwood@mathstodon.xyz If someone has more info than the equation and image (like the viewing position and orientation, focal length etc.) then (I'm pretty sure) there is some complicated function, formula or algorithm that calculates the amount of spheres that can be theoretically seen in the image.
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@tonwood@mathstodon.xyz 2026-09-24 23:29
@Microfractal@mathstodon.xyz So not ‘uncountable’ in the sense of uncountable reals vs countable rationals, whew.