Abstract: 3D shapes captured by scanning devices are often incomplete due to occlusion. 3D shape completion methods have been explored to tackle this limitation. However, most of these methods are ...

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 ...

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

3D printing and bioprinting may enhance breast reconstruction by reducing risks like infection and implant malposition, offering safer and more personalized options. Empowering patients with choices ...

A rectangular prism, also known as a cuboid, is a three-dimensional geometrical shape with six flat sides. These sides are all rectangles and can have different lengths, widths, and heights. The ...

Concept design for a rectangular space telescope, modeled after the Diffractive Interfero Coronagraph Exoplanet Resolver (DICER), a notional infrared space observatory, and the James Webb Space ...

As one of the world's most powerful fighter aircraft currently in service, the F-22 Raptor is a marvel of technological achievement. Made from some of the most advanced and durable metals and material ...

Our bodies are constantly breaking down. Over time, their built-in repair mechanisms also fail. Knee cartilage grinds away. Hip joints no longer support weight. Treatments for breast cancer and other ...

Drawing 3D shapes is a useful skill for students, artists, architects, and anyone interested in visualizing objects more realistically. Unlike flat drawings, 3D shapes show depth, height, and width, ...