how to write this code?

Hey,

Can someone help me to write a code that that:

Writes the line of the complex plane formed by the point z when the complex number z^2 moves along the sides of the square whose vertices are located at the points -1-i, 2-i, 2+2*i and -1 + 2*i. In the same figure, write a line formed by points z^2, whose arcs are the same color as the corresponding side of the square.

I made the square but can`t figure out how to get the curved lines.

Thanks for the help!

[Rihard]

x1 = (-1 - i);

x2 = 2 - i;

x3 = 2 + 2*i;

x4 = -1 + 2*i;

t = linspace(0, 1, 100);

z1 = (1 - t) * x1 + t * x2;

z2 = (1 - t) * x2 + t * x3;

z3 = (1 - t) * x3 + t * x4;

z4 = (1 - t) * x4 + t * x1;

z = x1.^2;

figure

hold on

plot(real(z1), imag(z1), '--r')

plot(real(z2), imag(z2), '--g')

plot(real(z3), imag(z3), '--m')

plot(real(z4), imag(z4), '--b')

plot(real(x1), imag(x1), 'ok')

plot(real(x2), imag(x2), 'ok')

plot(real(x3), imag(x3), 'ok')

plot(real(x4), imag(x4), 'ok')

plot(real(z), imag(z), '-c')

axis equal

ax = gca;

ax.XAxisLocation = 'origin';

ax.YAxisLocation = 'origin';

xticks(-5:1:5)

yticks(-5:1:5)

xlabel('Real');

ylabel('Imag');

legend('Square', 'z^2');

xlim([-5, 5]);

ylim([-5, 5]);

axis equal;

[Rihard]

This is what i have so far

[Torsten]

You must square the sides of the square, not only its corner points:

z1_squared = z1.^2;
plot(real(z1_squared),imag(z1_squared))

[Rihard]

Thank you very very much!!