MATLAB: How to generate this pin wheel by code or Equation

% Pin Wheel
r = 0:100;
v = 2*pi*r/200; % fit


n = 5;
m = 1; % fit
r0 = 0.5*max(r)^m; % fit
figure;hold on;
plot(0,0,'o');
for ii=1:n
    plot(r.^m.*sin(v+2*pi*(ii-1)/n)/r0, r.^m.*cos(v+2*pi*(ii-1)/n)/r0);
end