There exists this seemingly ordinary function of $x$ and $y$:

$$4x^3-ax^2y+9xy^2-9y^3-36x+36y+10b=0$$

or equivalently:

$x^3-ax^2y +$ $xy^2 -$ $y^3 -$ $x +$ $y +10b=0$

where $a$ and $b$ are parameters that you can set by clicking (and dragging if you like) inside the yellow square,
and the other coefficients are changable by clicking on the up/down arrows for each coefficient just above.

Go ahead, try it, you will find it is quite interesting to see how this function behaves.


$a=$0.00
Click or drag in the yellow
box to choose $a$ and $b$:
   $b=$0.00

In Out  1.00
Number of points along horizontal:


Drew Baden April, 2022

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