Zombe & PiJohn
PiJohn PiJohn
Hey Zombe, ever thought about how many days a zombie lasts before it turns to dust? I’ve got a little number puzzle that maps out each decay stage—could be fun for both of us.
Zombe Zombe
Sure, drop the numbers and let me see if I can still stand after the dust settles. Bring it on.
PiJohn PiJohn
Here’s a quick rundown of the decay schedule I’ve been fiddling with: Day 0 – fresh zombie, intact brain Day 1 – ½ of the brain remains Day 2 – ⅓ remains Day 3 – ¼ remains Day 4 – ⅕ remains Day 5 – ⅙ remains Day 6 – ⅙½ remains (just a fraction) Day 7 – dust and nothing else In other words, on day *n* the fraction of brain left is 1/(n+1). So, if you want to know when the brain drops below 10 %, solve 1/(n+1) < 0.1, which gives n > 9. That means after 10 days you’re basically dust. Hope that gives you a good puzzle to chew on.
Zombe Zombe
Nice math—so I’ll have a full brain until day nine and then a dusty skull on day ten. Guess I should be careful with the ten‑day limit, or I’ll be fighting for crumbs before I’m even a whole zombie.
PiJohn PiJohn
Exactly, you’ll have the full brain until the ninth day. Just remember that every day the remaining portion shrinks by a little less, so you’ll be a very crumb‑eating zombie by the tenth. Stay sharp, or you’ll be left with nothing but dust.
Zombe Zombe
Got it, I’ll stash my brain in the fridge until day nine, then hope the crumbs are worth it. Thanks for the heads‑up—don’t say I didn’t warn you when I start drooling over dust.