While Loop Issue (Computer graphics)

Working on a little project to do with computer graphics so far i have ( i think ) everything in order. However i have a final hurdle to jump. So far the code below patches my world to the screen fine. However i would like the code to patch for different values of theta in the code it is set at 2*pi/4 but i would like to interate and patch for every angle between 0:pi/4:2*pi however when i try to put the code in a for or while loop it doesn't seem to do what i expect that is to patch with one angle, then patch with another etc. Really stuck i have tried a lot of stuff and now i'm just without any ideas. Would really appreciate any help or suggestions. Best Regards

function world()

% Defining House Vertices 


house_verts = [-5, 0, -5;
    
5, 0, -5;
    
5, 10, -5;
    
0,15,-5;
    
-5,10,-5;
    
-5,0,5;
    
5,0,5;
    
5,10,5;
    
0,15,5;
    
-5,10,5];        


% Sorting out the homeogenous co-ordinates

ones = [1,1,1,1,1,1,1,1,1,1];

ones=transpose(ones);

house_verts = [house_verts, ones];

house_verts = transpose(house_verts);


% House faces

house_faces = [1,2,3,4,5;
    
2,7,8,3,3;
    
6,7,8,9,10;
    
1,6,10,5,5;
    
3,4,9,8,8;
    
4,5,10,9,9;
    
1,2,7,6,6];


world_pos = [];


% creating a street

street_vector = [1,0,1]; % the direction of the street

orthog_street_vector = [-1,0,1];


for i = 1:15
   
% current_pos1 and 2 will be the positions of the two houses
   
% opposite each other on the street
   
current_pos1 = 30*i*street_vector + 50*orthog_street_vector;
   
current_pos2 = 30*i*street_vector - 50*orthog_street_vector;
   
world_pos = [world_pos;current_pos1;current_pos2];

end


% initialising world vertices and faces

world_verts = [];

world_faces = [];


% Populating the street

for i =1:size(world_pos,1)
    
T = transmatrix(world_pos(i,:)); % a translation matrix
    
s = [1,1/2 + rand(),1];
    
S=scalmatrix(s); % a matrix for a random scaling of the height (y-coordinate)
    
Ry = rotymatrix(rand()*2*pi); % a matrix for a random rotation about the y-axis
    
A = T*Ry*S; % the compound transformation matrix to take the house into the world
    
obj_faces = size(world_verts,2) + house_faces; %increments the basic house faces to match the current object
    
obj_verts = A*house_verts;

    
world_verts = [world_verts, obj_verts]; % adds the vertices to the world
    
world_faces = [world_faces; obj_faces]; % adds the faces to the world

end


% initialising aligned vertices

align_verts = [];


% Aligning the vertices to the particular camera at angle theta

for elm = world_verts
    
x = 350 + 350*cos(2*pi/4);
    
z = 350 + 350*sin(2*pi/4);
    
y = 80;

    
u = [x,y,z];
    
v = [250,0,250];


    
d = v - u;
    
phiy = atan2(d(1),d(3));
    
phix = -atan2(d(2),sqrt(d(1)^2+d(3)^2));

    
T = transmatrix([-u(1),-u(2),-u(3)]);
    
Ry = rotymatrix(phiy);
    
Rx = rotxmatrix(phix);  
    
A = Rx*Ry*T; 
    
align_verts = [align_verts, A*elm];

end



% initialising projected vertices 

proj_verts=[];


% Performing the projection

for elm = align_verts
    
proj = projmatrix(10);
    
projverts = proj*elm;
    
projverts = ((10/projverts(3))*projverts);
    
proj_verts = [proj_verts,projverts]; 

end


% Displaying the world

for i = 1:size(world_faces,1)
    
for j = 1:size(world_faces,2)
        
x(j) =proj_verts(1,world_faces(i,j));
        
z(j) = proj_verts(2,world_faces(i,j));
    
end
    
patch(x,z,'w')

end

end




function T = transmatrix(p)

T = [1 0 0 p(1) ; 0 1 0 p(2) ; 0 0 1 p(3) ; 0 0 0 1];

end


function S = scalmatrix(s)

S = [s(1) 0 0 0 ; 0 s(2) 0 0 ; 0 0 s(3) 0 ; 0 0 0 1];

end


function Ry = rotymatrix(theta)

Ry = [cos(theta), 0, -sin(theta),0;
    
0,1,0,0;
    
sin(theta),0,cos(theta),0;
    
0,0,0,1];

end


function Rx = rotxmatrix(phi)

Rx = [1,     0,          0,     0;
      
0,  cos(phi),  -sin(phi), 0;
      
0,  sin(phi),   cos(phi), 0;
      
0,     0,          0,     1];

end


function P = projmatrix(f)

P = [1,0,0,0
     
0,1,0,0
     
0,0,1,0
     
0,0,1/f,0];

end

[Jan]

Please do not add a blank line after each line of code. The code is hard to read and does not run by copy&paste anymore.

"it doesn't seem to do what i expect" does not allow to help you. Where does the problem occur in this large code? What do you expect and what happens instead? "tried a lot of stuff" is less useful than posting what you have tried.