In algebraic geometry, the word lemniscate refers to any of several figure-eight or ∞ shaped curves, of which the best known is the Lemniscate of Bernoulli. It is also sometimes used to refer to the $infty$ symbol used in mathematics as a symbol for infinity.

• Lemniscate of Bernoulli
• Lemniscate of Booth
• Lemniscate of Gerono
• Polynomial lemniscate