How to plot over a range using absolute value

I'm trying to plot a surface over a square given by the function abs(x) + abs (y) ≤ 2. I'm trying to use meshgrid, but I'm lost on what I should use as my intervals. If someone could lead me in the right direction, that would be awesome.

Answer 1

[the cyclist]

One way to do it would be to create a grid that is larger than the one you need, but then overwrite the x-y grid values that do not obey the restriction into NaN. For example:

x = linspace(-2,2,100);
y = linspace(-2,2,100);
 
[xx,yy] = meshgrid(x,y);

idxToRemove = (abs(xx) + abs (yy) > 2);

xx(idxToRemove) = NaN;
yy(idxToRemove) = NaN;


zz = xx - yy.^2;

figure
mesh(xx,yy,zz)

[Elizabeth Lu]

Thank you!