Pick 2 points P, Q, uniformly at random in the interior of a sphere
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Pick 2 points P, Q, uniformly at random in the interior of a sphere.
The line containing P and Q intersects the surface of the sphere at 2 other points, A, B.
What is the probability that the angle ∠ACB, where C is the centre of the sphere, is greater than 120°?
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Pick 2 points P, Q, uniformly at random in the interior of a sphere.
The line containing P and Q intersects the surface of the sphere at 2 other points, A, B.
What is the probability that the angle ∠ACB, where C is the centre of the sphere, is greater than 120°?
The correct answer is 37/64.
Congratulations to the voter who got it right!
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undefined fosstodon.org ha condiviso questa discussione
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Gli ultimi otto messaggi ricevuti dalla Federazione
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@informapirata ma la risposta a entrambe le domande è "tanto".
(uffa, doveva uscire domani, i tempi ora sono sbagliati. Vabbè, lo sposto surrettiziamente domani pomeriggio)
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A1 Bologna-Roma, all'altezza del bivio con l'A11 Firenze-Pisa nord. Questo è uno di quei brevi tratti in cui, guardando verso ovest, solo per pochi metri, si vedono in lontananza la cupola del Brunelleschi e il campanile di Giotto. Chi li vede nella foto?
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@Marcoyu Si fa il possibile.
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@FraEmme la tua risposta mi sembra perfettamente in linea e onesta
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So raw 20.12 fixed-point arithmetic isn't enough for my world<->grid conversions, so I added ad-hoc manual code mixing 20.12 coords with 32.32 constants, which works perfectly!
The fixed-point transition is basically finished, hurray!
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New #GeniusLoci article!
The Discordant Cities are never at peace and really upset their (much more powerful) neighbours in their little corner of the continent.
https://jenniferslange.wordpress.com/2025/08/28/the-discordant-cities-genius-loci/
#fantasy #worldbuilding #politics #fiction #landscape #iilustration #sunset #art #rpg #gurps
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@sinituulia I suspected something like that
but now I sort-of want to try and make some back-of-envelope calculation on how cheap you can get by handsewing thrifted materials with gratis patterns from the internet
(the frigging lot of time option
)
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(Gundjaev divenne patriarca dopo la morte di Alessio II che è ancora abbastanza misteriosa)
