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Terence Tao

Two more apps: visualizing the zeta process and the motions of the heavens

Here is a 3-paragraph summary of the blog post for mathopen.com:

The author argues that building visualization apps for mathematical and scientific concepts is one of the best ways to use modern AI coding tools. Compared to other applications of large language models, this use case carries fewer risks and downsides, making it a particularly safe and productive area where these tools can shine. The author is careful to note, however, that not all AI use is created equal, and unrestricted use of language models in other contexts still warrants caution.

The post highlights two new apps the author created with the help of AI coding agents. The first focuses on visualizing the zeta process, likely offering an interactive way to explore the Riemann zeta function, a central object in number theory with deep connections to the distribution of prime numbers. The second app models the motions of the heavens, bringing celestial mechanics to life through dynamic visual representations.

Overall, the post makes a compelling case that AI tools can genuinely accelerate and democratize the creation of mathematical visualizations. Rather than replacing mathematical thinking, these tools help communicate complex ideas in an accessible and engaging format. For anyone interested in math education or scientific outreach, this approach offers an exciting glimpse into how AI and mathematics can work together productively.

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