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@divbyzero@mathstodon.xyz

Post #676532

2026-02-28 03:47 UTC

At Gathering 4 Gardner, Colm Mulcahy suggested I try the following 3D-printing project. Recall the "napkin ring problem": Take a sphere of radius r and drill out a hole along a diameter so the remaining shape has height h. Then the volume, V = πh³/6, does not depend on r. He thought that if we print these shapes as solids (i.e., with 100% fill), they should all weigh the same. See the following post for the results.

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