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“The experiment seems to agree well,” said Frank Feng, a mechanical engineering professor at the University of Missouri who was not involved with the paper, but studied similar motions in half-pipe snowboarding.

When a skateboarder hits the circular section of the half-pipe, they start crouched down, positioning their center of mass further from the center of rotation above their head.

They told the skaters to catch as much air as possible on a half-pipe erected in a research lab.

All three operas shared a single set — a gleaming half-pipe of LED screens put to relentlessly innovative use throughout the evening — but they also shared a single problem: In a truly baffling decision, Sharon opts to intermix the three works, hammering them into an unwieldy dovetail by toggling between the two longer operas scene by scene — and plunking Luther’s composition like an afterthought at the finish of the first act.

The resort noted that the half-pipe used was roped off and that the incident occurred well after the ski lift closed for the day at 4 p.m.