Symmetry is all around us, from the repeating patterns of crystals to the stitches in a knitted sweater. In materials science, these patterns are more than just visually appealing: They can influence ...
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Geometric design framework builds intricate curves and looping bands from simple 3D shapes
Consider the sweeping arc of a ship's hull or a modern concert hall roof. These curved structures can be built by gently ...
It is one of the great questions of mathematics: What does "infinity" actually mean? Which infinities are larger than others?
The fabrication of visible-spectrum three-dimensional (3D) photonic crystals (PhCs) remains highly challenging, because existing manufacturing techniques cannot simultaneously achieve high processing ...
Using red fluorescent protein–positive (RFP +) and green fluorescent protein–positive (GFP +) A549 spheroids, we constructed microtissues with progressively increasing architectural complexity, ...
He’s done it again: mathematician Levent Alpöge, at Anthropic, has solved yet another open math problem using artificial intelligence. He had already tackled the Jacobian conjecture and found two new ...
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