Gerard Westendorp on Nostr: Pick's theorem "knows" Pythagoras' s theorem. According to Pick's theorem, the area ...
Pick's theorem "knows" Pythagoras' s theorem. According to Pick's theorem, the area of a polygon with vertices on a square grid is given by the number of grid points:
Area =
[interior points] +[border points]/2 -1
Published at
2025-12-23 17:55:05 UTCEvent JSON
{
"id": "57bc3494dc7fa5d62b2c487b71b43116cb9eb219d6118d465c18741b4c8791a6",
"pubkey": "ec4c0474085a36db6717feba02f56f9b360dba572291fe9bb3fa3ae819f98b04",
"created_at": 1766512505,
"kind": 1,
"tags": [
[
"imeta",
"url https://media.mathstodon.xyz/media_attachments/files/115/770/149/195/207/616/original/fd4dcf3e3ec44754.jpg",
"m image/jpeg",
"dim 794x781",
"blurhash UjRo]HOYX=r]i+kDkiaJ-:$zrrX9tkjEa3f-"
],
[
"proxy",
"https://mathstodon.xyz/users/GerardWestendorp/statuses/115770163530311227",
"activitypub"
],
[
"client",
"Mostr",
"31990:6be38f8c63df7dbf84db7ec4a6e6fbbd8d19dca3b980efad18585c46f04b26f9:mostr",
"wss://relay.ditto.pub/"
]
],
"content": "Pick's theorem \"knows\" Pythagoras' s theorem. According to Pick's theorem, the area of a polygon with vertices on a square grid is given by the number of grid points:\n\nArea =\n[interior points] +[border points]/2 -1\n\nhttps://media.mathstodon.xyz/media_attachments/files/115/770/149/195/207/616/original/fd4dcf3e3ec44754.jpg",
"sig": "e3b63390b028026d28d0e57b834eb522f3e9028829ac3df9b8f1c8f2c8d83ad4ae6c66f1cbf7e7ab21dc03f28ed21f9dcf5fc96b215540b28a077bbe8b986fbd"
}