How many flat panels does a skinny sculpture really need?
In the shipping workshop, we circle a strange sculpture and start taping flat foam panels around it. A thin plastic strip checks the tiny gap we’re allowed. Each new panel costs, so the crew leader keeps asking, “How many sides are enough to hug it close, without touching?”
The old rule looks at the longest tip-to-tip span and tells us to expect loads of panels. But this thing is like a narrow canoe. It’s long, yet it doesn’t take up much space. We can see the waste, but the old counting still says it’s “just how it is”.
A newer plan flips the question. If we melted the sculpture into a perfect ball with the same amount of material, how wide would that ball be? That “ball width” becomes our main yardstick. One catch: the sculpture can’t be thin like a sheet everywhere, or the count can fool you.
We try the usual counting trick: stick lots of same-size “pads” onto the outer wrap and say each pad stands for a chunk of surface. But on a skinny shape, a pad can sit near the sculpture and still hover over mostly empty air, because the outer wrap is so much bigger. Then the pads stop meaning what we need them to mean.
So we add a middle wrap, not halfway by distance, but chosen so a pad centred on the sculpture always covers a solid bit of real sculpture. Even the pad’s inward shadow, the straight-in path towards the middle, stays under control. Takeaway: once every pad contains real substance, counting by “how much it holds” works again.
Now we place as many pads as we can without them crowding each other, like suction cups that can’t overlap too much. Each pad gets its own little cone of space inside the middle wrap, so we don’t double-count. That pad total turns into the number of flat panels we need for the shell.
We finish with a snug shell that keeps the gap, but uses far fewer panels than the longest-span rule would demand for a skinny piece. The crew leader runs the plastic strip round the edge, then stops adding panels. The new yardstick was never the farthest tips. It was the space the sculpture actually takes up.