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How math helps explain the delicate patterns of dragonfly wings

Author: Emily Conover / Source: Science News

dragonfly
GOSSAMER WINGS Thin veins form different patterns on each dragonfly’s wings. Scientists have explained mathematically how these sections may form.

The dainty veins gracing the wings of dragonflies and other insects are like fingerprints: Each wing displays a distinct pattern.

A randomized mathematical process may help explain how certain thin filaments, called secondary veins, form these complex patterns, a new study finds.

Insect wings consist of two types of veins, both of which provide structural support (SN: 6/24/17, p. 5). Primary veins, which tend to be long and relatively straight, are found in the same locations on the wings of each member of a species. But the smaller, secondary veins appear in slightly different places on every wing.

Together, these two types of veins section off the wing into a multitude of tiny pieces, like bits of a stained-glass window. Scientists characterized 468 wings from 232 species by calculating the area of each tiny section, and quantifying whether it was circular or elongated.

Going round

In a mathematical simulation, scientists recreated the shapes of…

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