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 ...

A pyramidal prism/angular cube reflector is always used to reflect a beam of light into the prism, regardless of the direction of the beam. Corner prisms are widely used where accurate alignment is ...

Abstract: In recent years, with the rapid growth number of multi-modal 3D shapes, it has become increasingly important to efficiently recognize a vast number of unlabeled multi-modal 3D shapes through ...

Abstract: The segmentation of 3D shapes is a critical aspect of shape analysis. However, most existing methods for 3D shape segmentation treat each face of the original mesh model with equal ...

The original version of this story appeared in Quanta Magazine. In 360 BC, Plato envisioned the cosmos as an arrangement of five geometric shapes: flat-sided solids called polyhedra. These immediately ...

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 ...

The film explores different geometric shapes, focusing on cylinders, rectangular prisms, and pyramids. It describes the properties of each shape, such as the curved surface of a cylinder, the ...

Don’t mess with Randy Andy and his teddy bears. Prince Andrew reportedly has an obsession with his prized collection of teddy bears, which must be placed in perfect order in his bedroom. The claim was ...

An AI method enables the generation of sharp, high-quality 3D shapes that are closer to the quality of the best 2D image models. Previous approaches typically generated blurry or cartoonish 3D shapes.