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Inscriptions, distinctive markings, and historical documents can all offer clues to an artifact's age.
And if the artifact is organic—like wood or bone—researchers can turn to a method called radiocarbon dating.
This is called the half-life—the amount of time required for one-half of a given number of atoms to disintegrate. The plot of the number of tiles as a function of the number of turns looks like this: Again, I made radioactive spheres disappear when they decayed.
This is fine, because when carbon-14 decays, it produces nitrogen-14. But you could imagine that if you knew that the sample started with 20 percent blue spheres and you knew their half-life, then you could determine the age by examining one frame from the animation.
Count the remaining objects and repeat the process until half of them have decayed. It took a while, but we finally got pretty close to 40 tiles left.This example section of code gives the basic method you will need to get started, for only one isotope (you will need to figure out how to modify this to do a mixture of isotopes): atoms of carbon with the three isotopes above in user-input quantities.
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