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xkcd #2852: Parameterball
(imgs.xkcd.com)
Alt text:
The ball's density also varies, but players don't learn the value until after choosing their raquets. The infamous 'bowling ball table tennis' region of the parameter space often leads to equipment damage.
Are we confined to only finite positive values? If so, are there upper or lower limits? I’m kinda curious about how the game would go with a ball smaller than a spec of dust. Or how about a court twice the size of the observable universe?
Densities can get very interesting too if the ball collapses under its own mass into a singularity? Or how about a ball with neutron star density without the gravity to push it together? This is getting into the what if territory again.