How to divide plotted circles in a certain number of pieces depending on the radius of the circle

I want to seperate circles with different radius into a certain number of equal pieces.

• The radius of the next circle is always double the radius of the current circle.
• All circles have the common coordinates x=0 and y=0. The first circle (radius=1) is only one piece. The second circle (radius=2) is divided in two pieces and so on.
• The pieces are so distributed that the top piece would be dived by a line drawn from the coordinates (0,0) to the coordinates (0,Radius*2*x)
• The radius of the last circle should be adjustable
• The amount of pieces in the last circle should be counted

My current code is not working and I don´t know what to do because it is my first time using MATLAB.

My code is not working as I want but I don't know what's wrong and how I should add the missing operations which are still missing. I would be very thankful if there's someone who wants to help me.

My current code:

function plot_circle(rr,xm,ym,xx,yy,str_)
plot(rr*xx+xm,rr*yy+ym,str_)   % first circle

unterteiler = 32; %amount of points which create the different circles

tt = linspace(0,2*pi,unterteiler+1); %divides the circles in several "pieces"
yy = -cos(tt);xx=sin(tt); %calculates the coordinates of the circles

rr=1/pi;
plot_circle(rr,0,rr,xx,yy,'b'); %plots the first circle in blue
hold on


%for k=1:5
for k=1:4
    rr=rr*2;
    plot_circle(rr,0,rr,xx,yy,'r.'); %plots all nexts circles with red points
        
    
    faktor=rr/(1/pi) %calculates the current factor of the radius for the current circle

    Winkel=(360/faktor)/180*pi %calculates the arc measure of all pieces
    koordinatex1=sin(Winkel/2)*rr %calculates the x coordinate for the first piece
    koordinatey1=-cos(Winkel/2)*rr %calculates the y coordinate for the first piece
    plot(koordinatex1,koordinatey1) %plots the first point
    hold on
    for m=Winkel:Winkel:360-faktor*Winkel %this should plot the points for all missing pieces; the amount of pieces depends on the factor
    koordinatexx=koordinatex1+sin(Winkel*m)
    koordinateyy=koordinatey1-cos(Winkel*m)
    plot(koordinatexx,koordinateyy,'g')
    hold on
    end

end

Answer 1

[Shubham Khatri]

Hello,

Please take a look at the following code. You can modify the maximum radius value by changing r_max.The variable r can be used to pull out the number of piece.

r=1;
r_max = 256;
while (r<r_max)
    orig_x = 0;
    orig_y = 0;
    cx = orig_x;
    cy = orig_y+r;
    numPoints = 256;
    theta = linspace(0,2*pi,256);
    x_coord = cx+r*cos(theta);
    y_coord = cy+r*sin(theta);
    X_mat = reshape(x_coord,[],r);
    Y_mat = reshape(y_coord,[],r);
    plot(X_mat,Y_mat,'Color',rand(1,3));
    r = r*2;
    hold on
end
hold off
 

Hope it helps