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 human visual system exhibits a remarkable ability to decipher the three-dimensional structure of the world from two-dimensional retinal images. Central to this process is the utilisation of shape ...

Researchers learn to predict how crystals take shape from their internal chemistry, even when the crystal lacks symmetry. A crystal's shape is determined by its inherent chemistry, a characteristic ...

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...

We tackle the problem of high-dimensional nonparametric density estimation by taking the class of log-concave densities on ℝp and incorporating within it symmetry assumptions, which facilitate ...