conchoid form

A conchoid is a plane curve defined by a specific geometric construction. It is formed by taking pairs of points that lie on rays originating from a fixed point and are equidistant from a fixed line or curve. The term "conchoid" itself comes from the Greek word for "conch-like," suggesting a shell-like shape.1

The adjective conchoidal describes something that has elevations or depressions resembling the inside surface of a bivalve shell.2

While not directly related to the conchoid curve, conic sections are curves formed by the intersection of a plane and a cone, such as circles, ellipses, parabolas, and hyperbolas. These curves have a rich history in mathematics, with significant contributions from ancient Greek mathematicians like Apollonius of Perga.34