Artists
Henry Segerman
Associate Professor of Mathematics
Oklahoma State University
Stillwater, Oklahoma, USA
Statement
I am an associate professor in the department of mathematics at Oklahoma State University. My research interests are in three-dimensional geometry and topology, and in mathematical art and visualization. In visualization I work in 3D printing, spherical video, virtual, and augmented reality. I wrote the book "Visualizing Mathematics with 3D Printing".
Artworks
![Image for entry 'Screw/screw gearing'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NzUzLCJwdXIiOiJibG9iX2lkIn19--246fe18af8e05b27314afabea5814e202dfb0a64%2Fscrew-screw_gearing2_2400.jpg&w=1536&q=75)
Standard spur gears rotate relative to the gear box. In a rack and pinion mechanism the pinion rotates while the rack translates. There are even some mechanisms in which one "gear" part moves with a screw motion relative to the "gear box" part while the other rotates or translates. As far as I am aware, this is the first gearing mechanism in which both "gear" parts move with a screw motion relative to the gear box.