Added spheres. What is the path through centers of the added spheres?

Geometry Level pending

This is a problem that builds upon these two problems: within a sphere and with two planes .

This problem's question: What is the most specific correct answer to what is the path through the centers of the maximum number of added spheres in the other two problems?

3D non-planar spline Conic section Circle Planar Totally unpredicable Heptagon Pentagon

A Former Brilliant Member by A Former Brilliant Member

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1 solution

See Wikipedia article: Soddy's Hexlet : "... the centers of the hexlet spheres lie in a single plane, on an ellipse." Circles are a special case of ellipses.

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