Robert A. Bosch

Robert A. (Bob) Bosch (born August 13, 1963, in Buffalo NY) is an author, recreational mathematician and the James F. Clark Professor of Mathematics at Oberlin College.[1] He is known for domino art[2] and for combining graph theory and mathematical optimization to design connect-the-dots eye candy:[3] labyrinths, knight's tours, string art and TSP Art.[4]

This article is about the author and recreational mathematician. For the German industrialist, see Robert Bosch.

He is the author of Opt Art: From Mathematical Optimization to Visual Design.[5]

Education and career

Bosch received a BA in mathematics at Oberlin College in 1985, an MS in operations research and statistics at Rensselaer Polytechnic Institute in 1987 and a PhD in operations research with the thesis Partial Updating in Interior-Point Methods for Linear Programming under Kurt Martin Anstreicher at Yale University in 1991.[6]

He has been at Oberlin College since 1991 where he teaches mathematics, statistics and computer science.[1]

Combining art and mathematics

Bosch is passionate about using computers and mathematical optimization techniques to design visual art. He refers to this work as "Opt Art." He has written dozens of papers on this topic, many of them with Oberlin College student collaborators. Over the years Bosch has created numerous portraits drawn with a single continuous line. Some of these drawings are solutions of the Traveling salesman problem (or solutions to related problems). Examples include the "figurative tours" he created with computer scientist Tom Wexler[7] and renditions of Leonardo da Vinci's Mona Lisa,[8] a Van Gogh self portrait, and Vermeer's Girl with a Pearl Earring.[9]

Domino portraits such as his renderings of Martin Luther King[10] and Barack Obama[3] are an expansion of the mathematical genre of opt art in another direction.[2]

Awards

References
  1. Robert Bosch at Oberlin College home page
  2. Thought Process: Hypothesis Bosch Oberlin Alumni Magazine Winter 2014] Vol 109 No. 1
  3. The Mathematics of Opt Art , Review by Evelyn Lamb, Scientific American, 03 January, 2020
  4. TSP art Evil Mad Scientist Wiki
  5. Opt Art: From Mathematical Optimization to Visual Design by Robert Bosch, Princeton University Press, (2019), ISBN 9780691164069
  6. Robert Alexander Mark Boschr at the Mathematics Genealogy Project
  7. When the Mona Lisa is NP-Hard by Evelyn Lamb, Scientific American, April 31, 2015
  8. Get Lost in the Internet's Mind-Bending, Math-Inspired Art by Sylvia Chen, Wired, 19 June 2015
  9. Mathematician Creates Intricate Drawings Using One Continuous Line By Margherita Cole, My Modern Met, February 17
  10. Students' MLK mural made of dominoes will have place of honor with 'a lot of George Washingtons by Jill Tucker, San Francisco Chronicle, 23 February 2007
  11. Robert Bosch, "Opt Art," Math Horizons, February 2006, pp. 6-9. Trevor Evans Award Winners
  12. Domino Artwork: The Mathematical Artwork of Robert Bosch
  13. 2010 Mathematical Art Exhibition AMS
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