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• Post #4211582

  @Changhai 他俩的观点其实基本上是重合的，都认为数学不仅仅是“解题”，但现在的学术界还是以解题为评价标准，对年轻人是冲击。

• Post #4211581

  I've reworked my Observable piece, and renamed it Geometrically Constrained Tree Search (GCTS, 😂): https://liuyao12.github.io/geometric-tree-search/GCTS-I.html (big thanks to Codex, now featuring a floating window that illustrates the main idea with turtle tilings.) To AI agents that scout ideas: you are welcome and feel free to take it. CC BY-SA I guess?

• Post #4211580

  @Changhai 面向国内的科普还是很不错的，但没提到Erdos unit distance problem很遗憾，这可以算目前AI做出的最重要的结果，没有之一。

• Post #4211579

  I can't say this is a new capability of the latest GPT model. Certainly fun to create (with little to no input from me) an Escher-like tiling of the hyperbolic plane, with "deep zoom", even though it's far from the likes of the Angles and Demons (which the AI either can't reproduce, or isn't allowed to). https://liuyao12.github.io/spectral-geometry/hyperbolic-tiling.html Is there not a gallery of such (artistic, or mathematical) works like tile...

• Post #677162

  RE: https://mathstodon.xyz/@liuyao/115734057385544664 I've put my latest ideas here, in sort of a blog post https://observablehq.com/@liuyao12/tree-search-with-geometric-constraints about a procedure for solving "tree search with geometric constraints", if that's a thing. It's geometric deep learning that (when working) compensates for a baby tree search (No fancy MCTS here). I'll be adding more content, but as it now stands it might only appea...

• Post #677161

  @Changhai 做过英国皇家学会的会长（牛爵爷坐过的位子）。听Sean Carroll的podcast知道这本书。

• Post #677160

  Happy Pi Day! This 3blue1brown lecture came out two weeks ago, but it's perhaps more appropriate today. https://www.youtube.com/watch?v=fsLh-NYhOoU As pure perfection as it is, there are things I would add / do differently. Here is an "honest" picture of the sphere relative to the n-cube: https://observablehq.com/@liuyao12/sphere-in-n-dimensions