A quantum version of a fractal pattern, known as "Hofstadter's butterfly," has long been predicted, but the new study marks the first time it has been directly observed experimentally in a real ...

Wing patterns of a normal Sara Longwing butterfly (left) compared to a mutant butterfly generated with CRISPR (right) Butterfly wings have been given make-overs by scientists who tweaked a ...

A zebra's stripes, a seashell's spirals, a butterfly's wings: these are all examples of patterns in nature. The formation of patterns is a puzzle for mathematicians and biologists alike.

A fractal butterfly pattern produced by an unusual configuration of magnetic fields, first predicted almost 50 years ago, has been seen in detail for the first time in a twisted piece of graphene.

And by performing the same feat across several butterfly species, the team showed that this one gene, known as optix, controls all kinds of butterfly patterns. Red becomes black. Matte becomes shiny.

Drop by between 10:30 and 11:30 a.m. The topic schedule is Oct. 8, Butterfly Counting; Oct. 15, Rainbow Math; Oct. 22, Pattern Blocks; and Oct. 29, Egg Carton Math. The program is free with admission ...