Quartic_Discriminant.png
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Summary
Description Quartic Discriminant.png |
English:
The
w:Discriminant
of the quartic polynomial x^4+a x^2+b x + c. The surface represents point (a,b,c) where the polynomial has a repeated root, the cuspidal edge correspond to polynomials with a triple root and the self intersection to the polynomials with two different repeated roots.
This surface satisfies the equation -4 a^3 b^2 - 27 b^4 + 16 a^4 c -128 a^2 c^2 + 144 a b^2 c + 256 c^3 - 0. It was generated from the
Singsurf program
.
|
Date | |
Source | Own work |
Author | Salix alba |
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