I want to accurately discretize the implicit equation $x^2+x+y^2+\sin(4xy)+\sin(3xy)=3.9$.
To get the whole discretized shape, I'm forced to use oversized bounds {x,-70,80}
and {y,-70,80}
curve = DiscretizeRegion[
ImplicitRegion[
x^2 + x + y^2 + Sin[4*x*y] + Sin[3*x* y] ==
3.9, {{x, -80, 70}, {y, -80, 70}}]]
If I reasonable bounds such as {x,-3,3}
and {y,-3,3}
, I get the following.
What adjustments can be made and how will this improve the accuracy?
{{x, -5, 5}, {y, -5, 5}}
$\endgroup$x^2 + x + y^2
in your code but just $x^2 + y^2$ in the equation at the top of your answer? Why the extrax
term? $\endgroup$