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Announcing Harlequinade, a timeloop horror romance visual novel! ✨ Find yourself in a never-ending carnival that repeats every time you die. Featuring: 🪻 customizable protagonist 💖 2 male love interests, the Harlequin & Pierrot 🔪 lots of ways to die

27,878 次观看 • 5 个月前 •via X (Twitter)

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A Stanford statistician built a dice-rolling machine to prove board game companies have been selling you loaded dice for a hundred years. The machine drops dice inside a glass chamber, records every landing, and runs the sequences through statistical tests. Every mass-produced die it tested was biased. Every Monopoly die. Every Yahtzee cube. Every D&D twenty-sider. Every casino die below one hundred dollars. The bias is so small the human eye cannot see it in one game. It is so consistent it drains a player over a night at a real table. His name is Persi Diaconis. He is 79. He ran away from home at fourteen to learn card magic from Dai Vernon. He came back twenty years later with a PhD in statistics from Harvard and became the person casinos, magicians, and mathematicians all quietly consult when they need to know how something actually shuffles, rolls, or falls. This eight-minute Numberphile clip is Diaconis explaining exactly what the machine found. The dots on a die are drilled holes. The paint filling them weighs less than the plastic that was removed. The six face is lighter than the one face. Every die you have ever owned has been tilted by a fraction of a gram since the day it left the factory. Casinos already knew. A single die at the Bellagio costs one hundred and fifty dollars, is discarded after eight hours of use, and is engineered so the paint in the pits weighs exactly what the plastic did. That is the whole difference between a game piece and a regulated instrument. Here is what Diaconis proved on the record. A cheap six-sided die favors the six face over thousands of rolls. A plastic twenty-sided die can favor certain numbers by a substantial margin depending on how the corners are cut. A thirty-sided die, unless the internal geometry is spherical, rolls some faces two to three times more often than others. One retired executive rolled a single die three and a half million times before it physically wore round. Euclid worked out part of this in 300 BC. Diaconis has spent forty years finishing the rest. "There is no such thing as a fair die. There are only dice fair enough for the purpose you are using them for." Fairness is not a property of the die. It is a property of the die plus the throw plus the surface. Change any one and the same die stops being fair. The video is free. Diaconis's papers are free on his Stanford page. Everyone who has ever argued over a roll has been trusting a piece of plastic they never checked. The math is free. The willingness to admit your die is loaded is a much rarer commodity than fairness.

Flandermaxx

293,175 次观看 • 10 天前