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## Dana Mackenzie's Articles

- Feature
## Spirals inspire walking aids for people with disabilities

Long admired for their beauty, spirals have inspired a shoe that may help disabled people walk. The shapes make for a better crutch and an entertaining skateboard as well. - News in Brief
## A tale of touching tubes

Mathematicians solve the challenge of putting seven cylinders in contact without using their ends. - News
## Goldberg variations: New shapes for molecular cages

Scientists have figured a way to iron out the wrinkles in a large class of molecular cages. - Feature
## Year in Review: Progress made toward twin prime proof

A surprising advance sparks a flurry of work on the mathematical conjecture. - News
## Twin primes and prime bunches in mathematicians’ crosshairs

For second time this year, a mathematician makes a major advance toward proving a long-standing conjecture.