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mathematical modeling
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- 1A German Site Showcases Handmade Paper Polyhedron Models●Polyedergarten: Garden of Paper Polyhedron Models
Polyedergarten, a German website, displays an extensive collection of polyhedron models built from paper, presenting geometric solids as a kind of sculptural garden. It is drawing attention as a curated gallery of mathematical craft, appealing to readers interested in geometry, paper modelling and hands-on mathematics.
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Meta says its Muse AI system contributed to formal proofs in six mathematical research papers, assisting mathematicians in resolving open theorems. The announcement positions Meta's AI research alongside efforts like DeepMind's AlphaProof, showing large language models moving beyond chat into genuine scientific discovery. Commenters are debating how much of the credit belongs to the machine versus the human mathematicians guiding it.
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A technical article explaining the softmax function and how to compute its derivative has drawn attention among developers and machine-learning practitioners. Softmax converts a vector of raw scores into a probability distribution and is central to classification models and neural network outputs. The piece walks through the mathematics of its gradient, including the coupling between outputs, which often trips people up when deriving backpropagation by hand.
- 4Polyedergarten Showcases Garden of Paper Polyhedron Models▼Polyedergarten: Garden of Paper Polyhedron Models Article URL: https://www. polyedergarten.de/e_index.htm Comments URL:
Polyedergarten, a German website collecting photographs of hand-built paper polyhedron models, is drawing fresh attention online. The site documents geometric solids ranging from simple Platonic forms to elaborate stellated and compound shapes, built from paper and card. Geometry enthusiasts are sharing it as a charming, low-tech celebration of mathematical art and craftsmanship.