Hexagons: The Goldilocks Shape That Powers Nature and Games episode artwork

EPISODE · Jan 25, 2026 · 5 MIN

Hexagons: The Goldilocks Shape That Powers Nature and Games

from Intellectually Curious · host Mike Breault

Why do hexagons show up everywhere from beehives to board games to planetary storms? We unpack the math behind the Honeycomb Theorem, the 0.907 packing density, and how hexagonal tiling minimizes perimeter for equal-area regions. Explore real-world examples—from graphene’s lattice to the Giant’s Causeway and Saturn’s storms—and see why Civ V and Settlers of Catan feel so natural on a hex grid. We’ll also peek at four-dimensional tilings like the 24-cell and what they suggest about order, efficiency, and the geometry underlying our universe.Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.Sponsored by Embersilk LLC

Episode metadata supplied by the publisher feed · Published Jan 25, 2026

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Why do hexagons show up everywhere from beehives to board games to planetary storms? We unpack the math behind the Honeycomb Theorem, the 0.907 packing density, and how hexagonal tiling minimizes perimeter for equal-area regions. Explore real-world examples—from graphene’s lattice to the Giant’s Causeway and Saturn’s storms—and see why Civ V and Settlers of Catan feel so natural on a hex grid. We’ll also peek at four-dimensional tilings like the 24-cell and what they suggest about order, effi...

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