Symmetry attracts us. Studies comparing people’s reactions to different faces have shown, for example, that they find highly symmetrical faces more attractive than less symmetrical faces. The symmetry ...

We are fond of saying things are symmetric, but what does that really mean? Intuitively we have a sense of symmetry as a kind of mirroring. Suppose we draw a vertical line through the middle of a ...

Reflective symmetry is when a shape can be folded in half, with either side of the fold being a mirror image of the other. Rotational symmetry is when a shape can be rotated and it still looks the ...

The 2008 Abel Prize was awarded to John Griggs Thompson of the University of Florida and Jacques Tits of the Collège de France for their contributions to group theory, the mathematical field that ...

Symmetry is a powerful framework to perceive and predict the physical world. The structure of materials is described by a combination of rotations, rotation-inversions and translational symmetries. By ...

Symmetry is one of the most fundamental principles in nature. It describes the rules that make an object look unchanged after ...

Ordered materials with 7-fold, 9-fold or 11-fold symmetries are never observed in nature. Researchers discovered the reason for this when they tried to impose a 7-fold symmetry on a layer of charged ...

Rotational symmetry-broken mechanism for simplifying exceptional point achievement. (a) 3D model of waveguide coupled RTR. (b) Field distribution and (c) far-field pattern of RTR at EP. The spectral ...