In this report, we introduce UltraShape 1.0, a scalable 3D diffusion framework for high-fidelity 3D geometry generation. The proposed approach adopts a two-stage generation pipeline: a coarse global ...
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?
Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...
Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...
Abstract: Identifying points of interest (POIs) on the surface of 3D shapes is a significant challenge in geometric processing research. The complex connection between POIs and their geometric ...
Structural chirality refers to the geometric property of objects that are not superimposable on their mirror images, a concept that is central to organic chemistry. In contrast, topological chirality ...
Fifty years ago, “fractal” was born. In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term to describe a family of rough, fragmented shapes that fall outside ...
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. Design for hooked rug with geometric ...
Click to open image viewer. CC0 Usage Conditions ApplyClick for more information. IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage ...
A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. In 360 BCE, Plato envisioned the cosmos as an ...
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 ...
Shapez 2 has quickly established itself as one of the better factory sims to roll off the games industry's colossal imagination assembly line. A more focussed, yet still expansive game of automation ...