Imagine that you want to know the most efficient way to make a torus—a doughnut-shaped mathematical object—from origami paper. Instead of seeming almost perfectly smooth, the torus that you envision ...

Life begins with a single fertilized cell that gradually transforms into a multicellular organism. This process requires precise coordination; otherwise, the embryo could develop serious complications ...

Abstract: Neural Radiance Fields (NeRFs) have shown great potential for tasks like novel view synthesis of static 3D scenes. Since NeRFs are trained on a large number of input images, it is not ...

Imagine a mathematical lens so powerful it could bridge the realms of particle physics and cosmology in a way that redefines how we perceive the universe’s architecture, offering a path toward the ...

In this video, I share a simplified approach to drawing human anatomy by breaking it down into basic geometric shapes. The method focuses on proportion, structure, and easy-to-understand forms to help ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

Here’s what you’ll learn when you read this story: Mathematical evidence indicates that our universe is flat, but it could be infinitely big, as well. You can figure out if an object is flat with a ...

Tesla's upcoming affordable models could just be stripped-down versions of existing cars, something already speculated, but propped up during Tesla's quarterly earnings call. The models will be built ...

For centuries, humans believed they held a monopoly on geometric intuition. The ability to recognize structure in a shape – its right angles, symmetry, and parallel lines – was seen as a mark of human ...