Gerard Westendorp on Nostr: npub1knzsu…ac73p Interesting! I have some unfinished work, which I left lying for a ...
npub1knzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqpac73p (npub1knz…c73p) Interesting!
I have some unfinished work, which I left lying for a couple of years, that is related.
The idea was to relate equations like the Klein Quartic (xy^3+yz^3 + zx^3) to tilings of the complex plane. The equation (u+v+w=0) can be interpreted as a triangle, and the tiling would correspond to different ways of mapping (xy^3 -> u, yz^3 -> v, zx^3 -> w).
As I mentioned, I didn’t finish this project. But I found one tantalising link to Ramanujan’s taxi cab number 1729!
The triangle pattern in the picture does not have reflection symmetry in the circles, I was still figuring out how to do that.
I have a lot of other projects, but maybe I could continue the work….
Published at
2023-09-24 09:37:19Event JSON
{
"id": "2382a8cbb378ade6c58d9965b267cf025d6674b1aa5b0a65091b8cd26aeb2265",
"pubkey": "ec4c0474085a36db6717feba02f56f9b360dba572291fe9bb3fa3ae819f98b04",
"created_at": 1695548239,
"kind": 1,
"tags": [
[
"p",
"b4c50e1bc1d7c4e1372d0c767c4705509f070b0f3109447d90cd0eb34a992896",
"wss://relay.mostr.pub"
],
[
"p",
"f7346eb283902ada9d21c109a93e83128d9f87d8fcfe70ad819b3bf2ad9bce16",
"wss://relay.mostr.pub"
],
[
"e",
"22306035fed07e0858a1774866a80d594a0b6e7e93bcf93d2f3a9fe635415d01",
"wss://relay.mostr.pub",
"reply"
],
[
"proxy",
"https://mathstodon.xyz/users/GerardWestendorp/statuses/111119449405627102",
"activitypub"
]
],
"content": "nostr:npub1knzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqpac73p \nInteresting!\nI have some unfinished work, which I left lying for a couple of years, that is related.\nThe idea was to relate equations like the Klein Quartic (xy^3+yz^3 + zx^3) to tilings of the complex plane. The equation (u+v+w=0) can be interpreted as a triangle, and the tiling would correspond to different ways of mapping (xy^3 -\u003e u, yz^3 -\u003e v, zx^3 -\u003e w). \nAs I mentioned, I didn’t finish this project. But I found one tantalising link to Ramanujan’s taxi cab number 1729!\nThe triangle pattern in the picture does not have reflection symmetry in the circles, I was still figuring out how to do that.\nI have a lot of other projects, but maybe I could continue the work….\n\nhttps://media.mathstodon.xyz/media_attachments/files/111/119/440/984/107/139/original/1c7a05f4a16ed0cd.jpg",
"sig": "3b930884c9ab9e688c9fb872e04bd874a0806825a3c4a335f125a62e0d44105093c6b57ee30835b5f14a9a9600956d39f2776dd2b99a56160e318b909be9adee"
}
