John Carlos Baez on Nostr: Who drew this picture for me? - without the purple and yellow. Now I want to use it, ...
Who drew this picture for me? - without the purple and yellow. Now I want to use it, and I forget who to credit!
Recently Quanta came out with an article explaining modular forms:
https://www.quantamagazine.org/behold-modular-forms-the-fifth-fundamental-operation-of-math-20230921/It does a heroically good job. One big thing it *doesn't* do is explain the funny looking 'fundamental domains' in the upper half-plane.
By sheer coincidence, I just wrote a little article explaining the concept of 'moduli space' through an example which *does* touch on these fundamental domains:
https://johncarlosbaez.wordpress.com/2023/09/23/the-moduli-space-of-acute-triangles/It's due October 1st so I'd really appreciate it if you folks could take a look and see if it's clear enough. It's really short, and it's written for people who know more math than your typical Quanta reader, but not necessarily anything about moduli spaces.
The cool part is the connection between the moduli space of acute triangles — that is, the space of all shapes an acute triangle can have — and the more famous moduli space of elliptic curves!
Published at
2023-09-23 17:54:38Event JSON
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"content": "Who drew this picture for me? - without the purple and yellow. Now I want to use it, and I forget who to credit! \n\nRecently Quanta came out with an article explaining modular forms:\n\nhttps://www.quantamagazine.org/behold-modular-forms-the-fifth-fundamental-operation-of-math-20230921/\n\nIt does a heroically good job. One big thing it *doesn't* do is explain the funny looking 'fundamental domains' in the upper half-plane.\n\nBy sheer coincidence, I just wrote a little article explaining the concept of 'moduli space' through an example which *does* touch on these fundamental domains:\n\nhttps://johncarlosbaez.wordpress.com/2023/09/23/the-moduli-space-of-acute-triangles/\n\nIt's due October 1st so I'd really appreciate it if you folks could take a look and see if it's clear enough. It's really short, and it's written for people who know more math than your typical Quanta reader, but not necessarily anything about moduli spaces.\n\nThe cool part is the connection between the moduli space of acute triangles — that is, the space of all shapes an acute triangle can have — and the more famous moduli space of elliptic curves!\n\nhttps://media.mathstodon.xyz/media_attachments/files/111/115/227/935/012/028/original/b849833f32a87cbb.png",
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