Lemniscate

A lemniscate is a geometric shape that resembles a figure-8 or an infinity symbol (∞). The term is often used to describe a specific type of curve called the lemniscate of Bernoulli. The lemniscate of Bernoulli is a planar curve defined by the equation $(x^2 + y^2)^2 = 2a^2(x^2 - y^2)$, where 'a' is a constant.

The name "lemniscate" comes from the Latin word "lemniscus," which means "ribbon," due to its ribbon-like appearance. The lemniscate of Bernoulli is named after the Swiss mathematician Jacob Bernoulli, who studied its properties in the 17th century. This curve has applications in various fields of mathematics, including complex analysis and geometry.