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I started by packing layers of plastic BBs between pieces of damp paper towels. The BBs will try to roll & slide past one another - but this motion (shear) is opposed by friction with the paper towels. Result: the BBs don't move. When I flipped over the stack of BBs/Paper Towels, the stack of BBs stayed put. Some BBs near the sides fell out, but most of them remained - prevented from sliding past each other by the paper towels.
The first attempt didn't work well. But by packing them more evenly and lifting the container slowly, I was able to keep the pile of towels/BBs stable:
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It's surprisingly strong: it was able to support the weight of several large textbooks:
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