nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqfw45ye59jjnfn9m9uxq2kjv6hyuj8l6trka306wedlcefy2a8yesn3jt59 (nprofile…jt59)
OK, sorry for accusing you of using a chatbot!
Your reasoning is false for n=3, because it is not equally likely that a line through two random points inside the cube that intersects one face will be equally likely to intersect any of the other five. The other five faces are all possibilities, but the opposite face and the other four faces do not have identical probabilities.
Greg Egan
npub1qq…j5nhv
2025-08-23 12:10:07 UTC
in reply to nevent1q…pj4e
Author Public Key
npub1qqm7nu2qf25xd3mw6y6cyp4v2wr7ktf43ymp5wqz4u8jvz76ymtsjj5nhvPublished at
2025-08-23 12:10:07 UTCEvent JSON
{
"id": "3cf51a7d52fc9f2434ec92471d30a68f740356efabbc159bc694b97e37e2680f",
"pubkey": "0037e9f1404aa866c76ed1358206ac5387eb2d3589361a3802af0f260bda26d7",
"created_at": 1755951007,
"kind": 1,
"tags": [
[
"p",
"4bab42668594a6999765e180ab499ab93923ff4b1dbb17e9d96ff194915d3933",
"wss://relay.mostr.pub"
],
[
"p",
"e2e963fc74b9ddf918cf827871bcf1fde26b3bbce9121adbe24e34ab10420896",
"wss://relay.mostr.pub"
],
[
"e",
"bf2a9a892a82298864a79347231f168c84c057c88c094cd1058302ceafe84829",
"wss://relay.mostr.pub",
"reply"
],
[
"proxy",
"https://mathstodon.xyz/users/gregeganSF/statuses/115078005222764146",
"activitypub"
],
[
"client",
"Mostr",
"31990:6be38f8c63df7dbf84db7ec4a6e6fbbd8d19dca3b980efad18585c46f04b26f9:mostr",
"wss://relay.mostr.pub"
]
],
"content": "nostr:nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqfw45ye59jjnfn9m9uxq2kjv6hyuj8l6trka306wedlcefy2a8yesn3jt59 \n\nOK, sorry for accusing you of using a chatbot!\n\nYour reasoning is false for n=3, because it is not equally likely that a line through two random points inside the cube that intersects one face will be equally likely to intersect any of the other five. The other five faces are all possibilities, but the opposite face and the other four faces do not have identical probabilities.",
"sig": "227e6316c881533a594c5c38a0b0eb9a86be378db3adc53d90e2ec12b008cb15cf265195033fea2d8273fd4d0a16aa4efc8f2c93ff98b3599dfb012f1d53eac0"
}