create an ellipsoid with a hole vertically through the center in matlab

To create an ellipsoid with a hole vertically through the center in MATLAB, you can use the parametric equation of an ellipsoid and remove the points within the hole.

Here is an example code that demonstrates this:

main.m
a = 10; % Semi-axis length in x-direction
b = 5; % Semi-axis length in y-direction
c = 7; % Semi-axis length in z-direction

theta = linspace(0, 2*pi, 100); % Angle values
phi = linspace(-pi/2, pi/2, 100); % Angle values

[Theta, Phi] = meshgrid(theta, phi);
x = a*cos(Theta).*cos(Phi); % x-coordinates
y = b*sin(Theta).*cos(Phi); % y-coordinates
z = c*sin(Phi); % z-coordinates

% Create a mask for the hole
hole_radius = 2; % Radius of the hole
hole_length = 2; % Length of the hole
hole_mask = ((x.^2 + y.^2) <= hole_radius^2 & abs(z) <= hole_length/2);

% Set the values within the hole to NaN
x(hole_mask) = NaN;
y(hole_mask) = NaN;
z(hole_mask) = NaN;

% Plot the result
figure;
surf(x, y, z);
axis equal;
xlabel('x');
ylabel('y');
zlabel('z');
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In this code, we use the parametric equation for an ellipsoid to define the coordinates (x, y, z). We create a mask for the hole by checking if the points lie within the hole's radius and length. Finally, we set the values within the hole to NaN (Not-a-Number) and plot the result using the surf function.

You can adjust the values of a, b, c for the ellipsoid dimensions, and hole_radius and hole_length for the size of the hole to customize the shape according to your requirements.

Note: To run this code, you need the MATLAB software installed on your computer.