How to make a 3D triangular pyramid with spheres?

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How to make a 3D triangular pyramid with spheres varying the size of the level or stage?fed5cd95154d44521681d61f0664a7dd

n 0.5n^2+0.5n

n 0.1667n^3+0.5n^2+0.3333n

n (1/6)n^3+(1/2)n^2+(1/3)n

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Flatten(Sequence(Sequence(Sequence((sqrt(3) r k - 2 / sqrt(3) r j, 2r m - r k, 2sqrt(2) / sqrt(3) r (n - 1 - j)), m, 0, k), k, 0, j), j, 0, n - 1))

Zip(Sphere(P, r), P, MidPoints)

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