Published on: 2025-06-11 00:33:44
Geometry is one of the oldest disciplines in human history, yet the worlds it can describe extend far beyond its original use. What began thousands of years ago as a way to measure land and build pyramids was given rigor by Euclid in ancient Greece, became applied to curves and surfaces in the 19th century, and eventually helped Einstein understand the universe. Yang-Hui He sees geometry as a unifying language for modern physics, a mutual exchange in which each discipline can influence and shap
Keywords: geometry know like strogatz think
Find related items on AmazonPublished on: 2025-06-13 20:29:53
This is part 1 of a multi-part series on grass rendering. We’ll start by figuring out how realistic grass should look like, and how herbage can be modeled with the tools we have at our disposal in real-time 3D graphics. Then, we’ll look at how to implement different methods of grass rendering in Godot. However, most of the tutorial will not be Godot-specific aside from some node names and syntax. But before getting into any implementation details, we must first understand what grass even looks
Keywords: different games geometry grass look
Find related items on AmazonPublished on: 2025-07-25 04:21:50
As rose petals grow, they curl outwards and form pointed corners. The pattern is related to extrinsic, rather than intrinsic, geometry.Credit: bibi57/Getty The growth of rose petals exploits a geometric trick previously unobserved in nature, physicists have found. Using theoretical analysis, computer simulations and experiments with rubbery plastic sheets, they established that as the petals curl outwards, mechanical feedback regulates their growth, leading to the formation of rolled edges and
Keywords: curve geometry intrinsic nature surface
Find related items on AmazonPublished on: 2025-10-07 14:30:56
Geometry VAE The key to generating high-quality 3D scenes with a latent diffusion model is our Geometry VAE, capable of compressing pointmaps with high accuracy. We find empirically that our VAE with a transformer decoder is more appropriate for autoencoding pointmaps than a VAE with a convolutional decoder or a VAE pre-trained for autoencoding images. Below we visualize colored point clouds using (1) Pointmaps from data, (2) Pointmaps autoencoded with our VAE, (3) Pointmaps autoencoded with a
Keywords: autoencoded decoder geometry pointmaps vae
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