In mathematics, the monkey saddle is the surface defined by the equation z = x 3 − 3 x y 2 , {\displaystyle z=x^{3}-3xy^{2},\,} or in cylindrical coordinates z = ρ 3 cos ( 3 φ ) . {\displaystyle z=\rho ^{3}\cos(3\varphi ).} It belongs to the class of saddle surfaces, and its name derives from the observation that a saddle used by a monkey would require two depressions for its legs and one for its tail.
In mathematics, the monkey saddle is the surface defined by the equation z = x 3 − 3 x y 2 , {\displaystyle z=x^{3}-3xy^{2},\,} or in cylindrical coordinates z = ρ 3 cos ( 3 φ ) . {\displaystyle z=\rho ^{3}\cos(3\varphi ).} It belongs to the class of saddle surfaces, and its name derives from the observation that a saddle used by a monkey would require two depressions for its legs and one for its tail.
Source: Wikipedia "Monkey saddle" · CC BY-SA 4.0
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