File:Monkey saddle with three maxima.png
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Summary
| 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/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:15, 19 June 2021 | | 1,185 × 851 (268 KB) | imagescommonswiki>Ferkel | Uploaded own work with UploadWizard |
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