A shape
intermediate between a square and a circle.

Basic Shape

It is a square with rounded corners which is vividly different to a rounded square due to the presence of complex curves. A squircle also resembles an ellipse but with a different overall shape.

Equation

It is the
mathematical statement that represents a squircle.

In the equationof
a superellipse, |x/a|^{n} + |y/b|^{n} =
1, when the values are:
n=4 and a=b=1,

We get the equation of a squircle as:

x^{4} + y^{4} = 1,where (x, y) are the set of two points on
the curve

Uses and Applications

In optics, when the light is passed through a two-dimensional
square aperture, the central spot in the diffraction pattern can be closely
modeled by a squircle

Constructing the shapes of dinner plates which
provides greater surface area than circular ones with the same radius

Constructing a touchpad button in many Nokia
phones

Italian car manufacturer – Fiat used numerous
squircles in the interior and exterior design of the third generation model – Panda

Apple Inc. uses a shape that resembles a
squircle in its iOS mobile operating system as the shape of app icons,

One of the shapes for adaptive icons available
in the Android ‘Oreo’ operating system, used in mobile phones, is a squircle.

It was used at Sergels Torg in the heart of Stockholm, which provides maximum space for the traffic flow within a constrained space