How can I modify this code below to generate random points inside a regular hexagon and then get the points in a vector?

numEdges = 6;
xv = rand(numEdges,1);
yv = rand(numEdges,1);
xv = [xv ; xv(1)];
yv = [yv ; yv(1)];
numPointsIn = 20; 

for i = 1:numPointsIn
    flagIsIn = 0;
    while ~flagIsIn
        x(i) = rand(1); 
        y(i) = rand(1);
        flagIsIn = inpolygon(x(i),y(i),xv,yv);
    end

end
plot(xv,yv,x,y,'r+')

Answer 1

[Image Analyst]

Instead of generating randomly located vertices, you need to put vertices for your hexagon. I assume you know how to do this.

[Image Analyst]

Jenny's "Answer" moved here

I tried to put the vertices for the hexagon with a radius R but it doesn't execute. Can you help me to add the vertices correctly in the code above please?

[Image Analyst]

What coordinates did you use for the hexagon? You forgot to tell us.

[Jenny]

I tried this way.

numEdges = 6; R = 8;
xv = R * cos((0:6)*pi/3);
yv = R * sin((0:6)*pi/3);
xv = [xv ; xv(1)];
yv = [yv ; yv(1)];
numPointsIn = 20; 

for i = 1:numPointsIn
    flagIsIn = 0;
    while ~flagIsIn
        x(i) = rand(1); 
        y(i) = rand(1);
        flagIsIn = inpolygon(x(i),y(i),xv,yv);
    end

end
plot(xv,yv,x,y,'r+')

[Image Analyst]

Try this:

numEdges = 6; 
R = 8;
xVertex = R * cos((0:6)*pi/3);
yVertex = R * sin((0:6)*pi/3);
xVertex = [xVertex , xVertex(1)];
yVertex = [yVertex , yVertex(1)];
requiredPoints = 20;
plot(xVertex, yVertex, 'b+-', 'LineWidth', 3);
grid on;
numPointsIn = 1;
while numPointsIn < requiredPoints
  testx = 2 * R * rand(1) - R;
  testy = 2 * R * rand(1) - R;
  if inpolygon(testx, testy, xVertex, yVertex)
    x(numPointsIn) = testx;
    y(numPointsIn) = testy;
    numPointsIn = numPointsIn + 1;
  end
end

hold on;
plot(x,y,'r+', 'MarkerSize', 10, 'LineWidth', 2);