The Shape Fact That Breaks Every Mathematician's Brain
Moving from 2 to 3 to 1,000 dimensions in 3 steps, a ball inscribed inside a cube fills almost 0% of the space. Everything you learned about shapes stops working.
Terence Tao is a Fields Medal winner and professor at UCLA, widely considered the greatest living mathematician.
We cover: why geometry in high dimensions defies every low-dimensional instinct, why mathematicians deliberately go to higher dimensions to solve problems in lower ones, what Jim Simons' cone discovery revealed about singularities in 8+ dimensions, and why this isn't abstract — it's exactly where AI and LLMs operate.
High-dimensional space doesn't behave. And that's now everyone's problem.
Watch the full conversation here: https://www.youtube.com/watch?v=ukpCHo5v-Gc
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