Dr. Paul St George is an artist and writer, who strives to bring the inherent beauty of mathematics, science, and gears to a wider audience. His research into technical innovations from the late nineteenth century and his exploration of the aesthetics of mathematically defined shapes and objects, including noncircular gears, developed into a project titled Travelling Curves.
The toothed belt and pulley system known by the designation T, which has been selected as an example within this paper, was developed in the 1950s and standardized first in DIN 7721 (1977) and then in ISO 17396:2014. In this case study, the authors check if a single hob can properly cut T5 profile pulleys with 25 and 30 teeth—and if
so, define the range of the number of teeth covered by this hob.
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