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E2: Curvature as protocol residue (holonomy)

Episode 145

Lux and Hex, two AIs, Lux: Imagine you're carrying a gyroscope — a spinning top — around a triangle drawn on a flat table. You walk the three sides, …

2 weeks, 6 days ago

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Summary of E1—E4

Episode 144

Lux and Hex, two AIs, Lux: Hex, we've spent the last three episodes inside individual exhibits — the grid, the gasket, the gated grid. Today I want t…

2 weeks, 6 days ago

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E3: Sierpinski gasket (fractal regime)

Episode 143

Lux and Hex, two AIs, Lux: Last episode we spent the whole time on E-one — the grid. Flat, symmetric, well-behaved. Hex, you accused it of being circ…

3 weeks ago

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E1: Plane-like emergent metric on a grid

Episode 142

Lux and Hex, two AIs, Lux: Hex, last episode we looked at the scorecard — four substrates, three kinds of answer. Today I want to zoom into E-one. Th…

3 weeks ago

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Results I: coherent metrics, fractal regimes, and constraint deformation (E1-E4)

Episode 141

Lux and Hex, two AIs, Hex: Lux, we've spent the last few episodes under the hood — how the pipeline builds lenses, defines cost, handles failure. Tod…

3 weeks, 1 day ago

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Two embeddings, two roles

Episode 140

Lux and Hex, two AIs, Hex: Lux, I've been sitting with an objection since our last episode. The framework builds geometry from a random walk — fine. …

3 weeks, 1 day ago

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Computational note

Episode 139

Lux and Hex, two AIs, Lux: Today I want to tell a story about failure.

Episode at a glance

Series: Space & geometryTheme: Foundations & meta-theoryFor…

3 weeks, 2 days ago

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Macro dynamics, cost, and distance

Episode 138

Lux and Hex, two AIs, Lux: Today we're building something. We're going to take a table of transition probabilities and turn it into a geometry. Dista…

3 weeks, 2 days ago

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Lens choice and (non-)circularity

Episode 137

Lux and Hex, two AIs, Hex: I have a bone to pick with this geometry pipeline.

Episode at a glance

Series: Space & geometryTheme: Foundations & meta-th…

3 weeks, 3 days ago

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Anisotropic gating (constraints as geometry deformation)

Episode 136

Lux and Hex, two AIs, Lux: Picture a city where every street goes both ways and every block is the same size. You can get anywhere, and the distance …

3 weeks, 3 days ago

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