Reverse engineering often starts with a physical part but no reliable digital data. In restoration and customization, manual measurement can provide basic dimensions, but it becomes limiting when ...

Regardless, the genus-3 polyhedron is easily replicated (by other mathematicians) using simple integer coordinates, and forms ...

Introduction]The "snowflake" that drifts down softly from the winter sky.When you look through a microscope, a breatht ...

Are you currently interested in embroidery but struggling with worries like "choosing colors is difficult" or "the designs ...

Both single- and two-qutrit holonomic gates can now be realised needing no more than two control loops formed from just three ...

The MetroY Ultra captures the actual three-dimensional geometry of a component, providing a reliable digital reference for reverse engineering, custom designs, and manufacturing.

In real life, almost nothing is perfect. But in mathematics, things can be. Scholars consider circles and spheres perfect because of their high symmetry, which is one of the reasons why it was ...

A team of astronomers discovered a strange polygonal atmospheric structure on Saturn near the planet’s south pole. This 10-sided shape, known as a decagon, joins one of the gas giant’s most famous ...

Hill’s research focused on noble polyhedra, geometric objects defined by symmetry in which all faces are identical, and all vertices are identical. A cube is a basic example of a highly symmetrical ...

With their ability to use tools, remember faces and even learn how to communicate with humans through sign language, non-human primates are considered to be among the smartest creatures on earth.

Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...