SUPERELLIPSE Meaning and
Definition
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A superellipse is a geometric shape that resembles an ellipse but possesses sharper corners or straighter sides. It is represented by an equation and can be generated by a specific mathematical formula. A superellipse typically maintains the symmetry of an ellipse but has a more rectangular or squarish appearance.
The term "superellipse" was coined by the Danish mathematician Piet Hein in 1959. He introduced this concept as an extension of the ellipse, aiming to create a geometrical shape that would combine the elegance of the ellipse with the more angular characteristics of a rectangle or a square. This shape gained popularity due to its aesthetic appeal and its ability to blend rounded and angular features.
Superellipses find applications in various fields, including architecture, industrial design, and graphics. They are often used to create visually appealing and ergonomic designs in products such as tables, chairs, and lamps. The ability of superellipses to accommodate different proportions, from more elliptical to more rectangular, makes them versatile in design.
The mathematical representation of a superellipse involves an equation that includes parameters to determine the overall shape and proportions. By adjusting these parameters, one can create superellipses with different levels of roundness or angularity. This versatility allows designers to customize the shape to fit their specific needs and aesthetics.
Etymology of SUPERELLIPSE
The word "superellipse" was coined by the Danish mathematician Piet Hein in the 1960s. It is a combination of the prefix "super-" meaning "above" or "beyond" and the word "ellipse".
The term was created to describe a geometric shape that Hein had discovered and studied. A superellipse is a closed curve that is a generalization of an ellipse, as it encompasses both elliptical and rectangular characteristics. It is defined by an equation that involves powers higher than 2, giving it a more "super" or expanded nature compared to a regular ellipse.
Hein's wordplay with "super-" in relation to the shape's expanded qualities led to the term "superellipse" being widely adopted in mathematics and design fields.
