How do I rotate a radial vector around a unit circle and plot each position?

I have a vector consisting of m points, or three (x, y)-coordinate pairs. For instance, the x-coordinate are all zero, so the vector points in the y-direction. I want to rotate this vector n times around the unit circle and store each result in a new matrix of size (mxn)x2 matrix. This is what I have so far, but I have hard-coded m = 3:

clear
clc
clf

n=10;
AngRot=-360/n;
Am=[cosd(AngRot) sind(AngRot);...
          -sind(AngRot) cosd(AngRot)];%rotation matrix
x1=[0 0 0]';
y1=[1 1.1 1.2]';
xy1=[x1 y1]
xy2=xy1*Am
x2=xy2(:,1);
y2=xy2(:,2);
xy3=xy2*Am
x3=xy3(:,1);
y3=xy3(:,2);
 
ang=linspace(0,360,100);
xc=cosd(ang);
yc=sind(ang);

plot(x1,y1,x2,y2,x3, y3,xc,yc)
grid on
axis equal;

Here is what it generates. I'm not sure how to automate it to fill in all the rotations or save the results.

Answer 1

[MathWorks Support Team]

Below is a full demo of how to do so in MATLAB, where m is the size of the vector and n is the number of rotations. The rotated vectors are saved in the matrix XY.

%% This is a demo to rotate your mx2 vector n times and generate a (mxn)x2
% matrix full of these resulting data points.
clear
clc
close all

%% Start with your values for m and n and calculate rotation matrix.
m = 6;
n = 50;
theta = 360/n;
R = [cosd(theta) -sind(theta);
    sind(theta) cosd(theta)]';

%% Allocate space for the end matrix.
XY = zeros(m*n, 2);

%% Generate the first vector.
x = zeros(m, 1);
y = linspace(1, 1.5, m)';
xy = [x y];
XY(1:m, :) = xy;

%% Loop through and calculate rotated matrcies.
for i = 1+m:m:m*n
    xy = xy*R;
    XY(i:i+m-1, :) = xy;
end


%% Plot the results.
hold on
grid on
axis equal
ang = linspace(0,360,100);
xc = cosd(ang);
yc = sind(ang);
plot(xc, yc)
for k = 1:m:m*n
    x = XY(k:k+m-1, 1);
    y = XY(k:k+m-1, 2);
    plot(x, y);
end

The result is the following: