🔥 Fun π fact:

Add the first three sextads of π and you get 1588419

141592 + 653589 + 793238 = 1588419

Now skip ahead 15 digits and you land on 88419

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🚀 Comet Lemmon, photographed last month by Ignacio Fernández.

Its next pass by Earth will be in roughly 1,155 years.

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❤️ The Heart Equation

The Heart Equation is a math formula that creates a heart-shaped curve by combining two ideas.

One part builds the smooth curved base of the shape. The other part uses a wave pattern to form the soft bumps at the top.

A single variable controls how tight those waves are. Increase it, and the waves become smaller and more frequent, gradually shaping the classic heart outline.

It’s a simple reminder that even pure math can create something that feels emotional and beautiful.

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➕ Math Trick

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🛍 Percentage Cheat Sheet

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🧮 Terence Tao: AI in math is real, but not magic

Several researchers recently claimed generative AI helped solve previously open math problems, including some from the famous Erdős list. Some of these AI-written proofs have checked out.

Terence Tao, widely considered the world’s leading mathematician, says the progress is impressive but overstated. In his view, AI has mostly been picking off easier problems from a long list rather than cracking the hardest ones.

AI is good at systematically scanning hundreds of obscure problems and applying known techniques. Many of the recent wins were “cheap wins,” problems that a human expert could likely solve in half a day.

Where AI shines today:

✔️ Grinding through tedious computations humans avoid
✔️ Applying standard techniques at scale
✔️ Assisting with structured reasoning
✔️ Acting like a junior co-author on technical work

Tao compares AI to a helicopter that drops you at the solution. You get the result, but you miss the journey, the insights and trail markers that human mathematicians build along the way.

Still, he sees real value. AI can help mathematicians work at larger scales, moving from handcrafted case studies to broader “population-level” explorations of problems.

He predicts that AI will soon function as a trusted co-author, especially for routine and heavy analytical work. But he also warns about limitations:

❌ Models lack creativity
❌ They make subtle mistakes
❌ They overstate confidence
❌ They are not designed for deep interactive collaboration

Tao argues that math does not need fully autonomous “push a button and solve” systems. It needs better human-AI conversations.

AI is not solving the deepest problems yet.

But it is changing how mathematics gets done.

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