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File:Monkey saddle with three maxima.png

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Captions

Captions

A 3D surface illustrating the concept of a monkey saddle, with three maxima.

Summary edit

Description
English: The function z = -x^6-3*x^4*y^2-3*x^2*y^4-6*x^2*y-y^6+2*y^3 has an inflection point at the origin where there are three directions to go uphill and three directions to go downhill. Such a point is named a 'monkey saddle' since a monkey would need two places to put its legs and one for its tail.

I found the formula by multiplying three paraboloids together.

Implemented in Geogebra: https://www.geogebra.org/3d/qgz7znyr

Discussion: https://twitter.com/_tim_hutton_/status/1406338455840382977
Date
Source Own work
Author Ferkel

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Date/TimeThumbnailDimensionsUserComment
current21:15, 19 June 2021Thumbnail for version as of 21:15, 19 June 20211,185 × 851 (268 KB)Ferkel (talk | contribs)Uploaded own work with UploadWizard

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