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on 1 Dec 2023
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drawframe(1);
Write your drawframe function below
function drawframe(f)
function sierpinski_triangle_animation_to_mp4()
% Useful Parameters
L = 10; % Side length
it = 7; % Number of iterations
video_fps = 60; % Desired FPS for the video
frame_pause = 1/video_fps;
% Support initialization
sop_x = [0 L/2 L];
sop_y = [0 sqrt(3*(L^2)/4) 0];
figure; % Create a new figure
axis equal;
axis off;
hold on;
% Create a VideoWriter object
writerObj = VideoWriter('sierpinski_animation.mp4', 'MPEG-4');
writerObj.FrameRate = video_fps; % Set the desired video FPS
open(writerObj);
% Iteration >0
if(it > 0)
side = L/2;
it0_x = [side/2 side 3*side/2];
it0_y = [sqrt(3*(side^2)/4) 0 sqrt(3*(side^2)/4)];
fill(it0_x, it0_y, 'w');
plot(it0_x([1, 2, 3, 1]), it0_y([1, 2, 3, 1]), 'k');
frame = getframe(gcf);
writeVideo(writerObj, frame);
hold on;
% Initialization of cells that will contain the triangles coordinates
coor{1,1} = it0_x;
coor{2,1} = it0_y;
% Next iterations
for i = 1:1:it
temp = {};
side = side/2;
for n = 1:1:size(coor,2)
h = sqrt(3*(side^2)/4);
% Relative right triangle
x_r = [coor{1,n}(2)+side/2 coor{1,n}(2)+side coor{1,n}(2)+3*side/2];
y_r = [coor{2,n}(2)+h coor{2,n}(2) coor{2,n}(2)+h];
fill(x_r, y_r, 'w');
plot(x_r([1, 2, 3, 1]), y_r([1, 2, 3, 1]), 'k');
frame = getframe(gcf);
writeVideo(writerObj, frame);
drawnow; % Update the figure
hold on;
% Relative above triangle
x_u = [coor{1,n}(1)+side/2 coor{1,n}(1)+side coor{1,n}(1)+3*side/2];
y_u = [coor{2,n}(1)+h coor{2,n}(1) coor{2,n}(1)+h];
fill(x_u, y_u, 'w');
plot(x_u([1, 2, 3, 1]), y_u([1, 2, 3, 1]), 'k');
frame = getframe(gcf);
writeVideo(writerObj, frame);
drawnow; % Update the figure
hold on;
% Relative left triangle
x_l = [coor{1,n}(2)-3*side/2 coor{1,n}(2)-side coor{1,n}(2)-side/2];
y_l = [coor{2,n}(2)+h coor{2,n}(2) coor{2,n}(2)+h];
fill(x_l, y_l, 'w');
plot(x_l([1, 2, 3, 1]), y_l([1, 2, 3, 1]), 'k');
frame = getframe(gcf);
writeVideo(writerObj, frame);
drawnow; % Update the figure
hold on;
% New triangles coordinates storage
l = size(temp,2);
temp{1,l+1} = x_r; temp{2,l+1} = y_r;
temp{1,l+2} = x_u; temp{2,l+2} = y_u;
temp{1,l+3} = x_l; temp{2,l+3} = y_l;
end
% Cleaning up temporal cells
coor = temp;
clear('temp');
end
hold off;
end
% Close the VideoWriter object
close(writerObj);
title(['Sierpinski Triangle Animation (' num2str(it) ' iterations)']);
end
end
Animation
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