Plotting help, my graph turns very clunky

I'm trying to recreate the image attached of a elliptical spiral staircase but it's not working out too well. Please help!

function z = my_staircase(a,b,h,n)
tv = 0:2*pi*n;
for k1 = 1:length(tv)
    t = tv(k1);
    r=((a*b)*exp(-.04*t))/sqrt((b*cos(t)^2)+ (a*sin(t))^2);
    x(k1)=r*cos(t);
    y(k1)=r*sin(t);
    z(k1)=(h*t)/(2*pi*n);
end
hold on
 plot3(x,y,z)
    xlabel('x(m)'); ylabel('y(m)');zlabel('z(m)');
    grid on
    view([-30  30])
end

The graph I got was for my_staircase(20,10,100,7) :

%

Answer 1

[Mischa Kim]

Japoe25, just add more data points. E.g.,

 tv = 0:0.1:2*pi*n;  % 0.1 is the spacing between data points

[Japoe25]

It's still pretty clunky even with 0.001