In geometry, an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation. Symmetry is the underlying mathematical principle behind all patterns and is ...

What if you could make any object out of a flat sheet of paper? That future is on the horizon thanks to new research. A team of researchers have characterized a fundamental origami fold, or ...

Standard Tessellation Language ... 0.05-0.15 mm) is exposed above the perforated platform. The UV laser hits the perforated platform, "painting" the pattern of the object being printed.

Tessellation patterns that have fascinated mathematicians since Kepler worked out their systematics 400 years ago -- and that more recently have caught the eye of artists and crystallographers ...