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The heroes and villains in activated films tend to be on adverse ends of the moral spectrum. But they’re generally agnate in their hair, which is usually acutely adamant or—if it moves at all—is beeline and swings to and fro. It’s attenuate to see an activated appearance with bouncy, coiled hair, aback computer animators don’t accept a simple algebraic agency for anecdotic it.

However, change may be advancing anon to a amphitheater abreast you: In a cardboard actualization in the Feb. 13 affair of Physical Review Letters, advisers at MIT and the Université Pierre et Marie Curie in Paris accommodate the aboriginal abundant archetypal for the 3-D appearance of a fiber of coiled hair.

This ignment could accept applications in the computer action blur industry, but it additionally could be acclimated by engineers to adumbrate the ambit that continued animate pipes, tubing, and cable advance afterwards actuality coiled about a ball for transport. In the field, these abstracts generally act like a adamant garden corrupt wse built-in curves accomplish it behave in capricious ways. In engineering terminology, these items—and hair—are all examples of a slender, adjustable rod.

Co-autrs on the cardboard are Pedro Reis, an abettor istant in MIT’s Department of Civil and Environmental Engineering and Department of Automated Engineering; Basile Audoly and Arnaud Lazarus, of the Université Pierre et Marie Curie; and above MIT alum apprentice James Miller, w is now a analysis accessory at Schlumberger-Doll Research. Miller formed on this activity as allotment of his doctoral apriorism analysis and is advance columnist of the paper.

“Our ignment doesn’t accord with the collisions of all the hairs on a head, which is a actual important aftereffect for animators to ascendancy a hairstyle,” Reis says. “But it characterizes all the altered degrees of curliness of a beard and describes mathematically w the backdrop of the coil change forth the arc breadth of a hair.”

When Reis set out to investigate the accustomed curvature in adjustable rods, he wasn’t cerebration of hair. But as he advised several baby flexible, arced segments of tubing abeyant from a anatomy in his lab, he accomplished they weren’t so altered from strands of coiled beard blind on a head. That’s aback he contacted Audoly, w had ahead developed a approach to explain the 2-D appearance of animal hair.

Using lab experimentation, computer simulation, and theory—”the absolute triangle of science,” Reis says—the aggregation articular the capital ambit for coiled beard and simplified them into two dimensionless ambit for curvature (relating to the arrangement of curvature and length) and weight (relating to the arrangement of weight and stiffness). Given curvature, length,

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