File:Monkey saddle with three maxima.jpg
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Summary
| Description |
Русский: Обезьянье седло
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 | File:Monkey saddle with three maxima.png |
| Author | Ferkel |
Licensing
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:54, 28 September 2024 | | 1,185 × 851 (73 KB) | Matsievsky | Uploaded own work with UploadWizard |
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