I want better packed sphere

Question

ka 2021-6-8

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/851080-i-want-better-packed-sphere

评论： Rena Berman 2021-6-29

I'm trying to make a spherical shell using smaller spheres, I've reached to this point where these smaller spheres are widely spread, I want to reach at a better packing when no two smaller spheres overlap, can you all help me with this?

here is code for reference,

r = 1;
R = 10;
[x, y, z] = sphere(12);
figure;
Lim = [-R-r, R+r];
axes('NextPlot', 'add', 'XLim', Lim, 'YLim', Lim, 'ZLim', Lim);
axis equal;
view(3);
light;
    for alpha = linspace(0, 2*pi,10)
        for theta = linspace(0, pi, 13)
           xs = sin(theta) * sin(alpha) * R;
           ys = sin(theta) * cos(alpha) * R;
           zs = cos(theta) * R;
           surf(x * r + xs, y * r + ys, z * r + zs);
       end
    end

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Adam Danz 2021-6-14

在 MATLAB Online 中打开

Original question before removing content:

I'm trying to make a spherical shell using smaller spheres, I've reached to this point where these smaller spheres are widely spread, I want to reach at a better packing when no two smaller spheres overlap, can you all help me with this?

here is code for reference,

r = 1;

R = 10;

[x, y, z] = sphere(12);

figure;

Lim = [-R-r, R+r];

axes('NextPlot', 'add', 'XLim', Lim, 'YLim', Lim, 'ZLim', Lim);

axis equal;

view(3);

light;

for alpha = linspace(0, 2*pi,10)

for theta = linspace(0, pi, 13)

xs = sin(theta) * sin(alpha) * R;

ys = sin(theta) * cos(alpha) * R;

zs = cos(theta) * R;

surf(x * r + xs, y * r + ys, z * r + zs);

end

Rena Berman 2021-6-29

(Answers Dev) Restored edit

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Answer 1

Adam Danz 2021-6-13

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/851080-i-want-better-packed-sphere#answer_724035

This file exchange submission offers a method of uniform sampling along the surface of a sphere. After looking at the documentation to understand how to use the functions, all you need to do is specify a density based on the diameter of the smaller spheres. It will return the coordinates of the center points of each small circle.