In geometry, an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation. Symmetry is important in art, math, biology and chemistry.

Their work, titled "Exceptional point enhanced nanoparticle detection in deformed Reuleaux-triangle microcavity," was published in Frontiers of Optoelectronics on Aug. 8, 2024.

A deformed Reuleaux-triangle resonator is adopted to break rotational symmetry, where exceptional point for enhancing nanoparticle detection only needs one scatter to realize.

The symmetry group of a triangle, Galois realized, couldn’t be broken down any further, nor could that of a pentagon. But a 15-sided polygon is another story.

Courtesy of This shows examples of the seven families of symmetry groups with six-fold rotational symmetry. Andrew Kepert/Wikipedia Grossman is particularly intrigued with the symmetry group of ...

An equilateral triangle has rotational symmetry of order 3. An equilateral triangle fits into its outline three times in a full 360° turn.

The combination of charge conjugation, parity, and time-reversal symmetry is known as CPT. And it must never be broken. Ever.

Symmetry is a prevalent feature of nature at all scales. For example, our naked eyes can easily identify symmetries in the bodily shape of countless organisms.

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.

Rotational invariance is a symmetry exhibited by the circle: Rotate it any number of degrees and it looks the same. In the context of physical systems on the brink of phase changes, it means many ...

Deconstruction: Unitarity triangle The weak force is responsible for the decay of matter: unstable particles made of heavy quarks and antiquarks decay into particles made of their lighter cousins. The ...