Over the past decade, Professor L. Mahadevan's Soft Math Lab at the Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) has helped establish how the ancient Japanese paper arts ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

Cosmologists have an embarrassing problem: we don’t know what shape the universe is. The cosmos has three possible geometries—positively curved like a sphere, flat like an infinite plane or negatively ...

Coordinating dozens of muscles typically requires complex neural control, and it is unclear how much of that coordination must come from the brain versus the body’s structure. Professor Mitra Hartmann ...

Numerous 3D shape descriptors have been proposed in recent years, among which spectral descriptors have gained significant prominence. However, widely used spectral signatures, such as the Heat Kernel ...

Version of Record: This is the final version of the article. This paper examines how geometric regularities in abstract shapes (e.g., parallelograms, kites) are perceived and processed in the human ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...

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 ...

Abstract: This paper introduces a method for learning to generate line drawings from 3D models. Our architecture incorporates a differentiable module operating on geometric features of the 3D model, ...