Mathematicians discover odd shapes that roll like a wheel in any dimension

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A 3D form of fixed width as seen from three completely different angles. The center view resembles a 2D Reuleaux triangle

Andriy Prymak et al. 2024/SageMath/Danylo Radchenko

Mathematicians have reinvented the wheel with the invention of shapes that may roll easily when sandwiched between two surfaces, even in 4, 5 or any larger variety of spatial dimensions. The discovering solutions a query that researchers have been puzzling over for many years.

Such objects are referred to as shapes of fixed width, and essentially the most acquainted in two and three dimensions are the circle and the sphere. These aren’t the one such shapes, nevertheless.…

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