A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
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A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
We dive into ecosystem engineers—species that actively redesign their habitats. From beavers and woodpeckers to corals, elephants, and even whales—exploring allogenic vs autogenic engineering, their impact on biodiversity, and what restoration and conservation can learn from these natural architects. We also consider how humans are the planet's most powerful engineers, and what that means for shaping healthy landscapes. Note: This podcast was AI-generated, and sometimes AI can make mistakes. ...
Intellectually Curious
A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
