The Monkey Saddle is the surface given by z = x^3 - 3x y^2
This saddle has a place for a tail as well as legs---there are saddles with any number of places for tails!
We show the Monkey Saddle coloured by:
Mean curvature (left) and Gaussian curvature (right)
Mean Curvature tells us how the surface is fitted into 3-space---as
viewed from outside.
Gaussian Curvature tells us how the surface curves intrinsically---as
seen by a surface inhabitant.
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