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.

The above rotation is one symmetry of the square, and our example of line symmetry can be thought of as another. Let’s take a moment to define a few terms.

In the mathematical sense, an object has rotational symmetry if there is an axis around which you can spin it so that at the end of a less-than-complete rotation, it looks just the same as it did ...

There is an identity symmetry (rotation by 0 degrees) that acts just as the number zero acts in our number system. And every symmetry can be undone, just as adding 3 can be undone by adding –3: For ...

Researchers led by Prof. Xiaobei Zhang at Shanghai University (SHU), China, are interested in deformed Reuleaux-triangle resonator (RTR) which breaks rotational symmetry to simplify exceptional ...

Sure, some systems have no differences from their mirror reflections, known as a parity symmetry. Others demonstrate rotational symmetries, where it doesn't matter what angle you view it from.

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, ...

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