This concept has been come up with the idea to bridge the gap between squares and circles. In the 1800s, this was explored by Gabriel Lame who invented a family of curves the name superellipses that both squares and circles belong to. One particular superellipse that is in the middle is called a squircle which has been used to design everything from dinner plates to touchpad buttons. A superellipse, known as a Lame curve is a geometric figure defined in the Cartesian coordinate system as the set of all points (x,y) with
where n, a and b are positive numbers.
when n is between 0 and 1, the superellipse looks like a four armed star with concave sides. When n is 1, the curve is a rhombus with corners and wheb n is between 1 and 2, it looks like a rhombus with those same corners but with convex sides.