Английская Википедия:Edmund Harriss

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Шаблон:Short description

Edmund Orme Harriss (born 1976 in Worcester, UK) is a British mathematician,[1] writer[2] and artist.[3] Since 2010 he has been at the Fulbright College of Arts & Sciences at The University of Arkansas in Fayetteville, Arkansas where he is an Assistant Professor of Arts & Sciences (ARSC) and Mathematical Sciences (MASC). He does research in the Geometry of Tilings and Patterns,[4] a branch of Convex and Discrete Geometry.[5] He is the discoverer of the spiral that bears his name.[6]

Education and career

Harriss earned a Master of Mathematics at the University of Warwick (2000) and then obtained his PhD at Imperial College London (2003) with the dissertation "On Canonical Substitution Tilings" under Jeroen Lamb.[7]

Harriss has been a speaker at FSCONS, a Nordic Free software conference.[8]

Harriss is active on Numberphile where he has given talks on Heesch numbers, Tribonacci numbers, the Rauzy fractal and the plastic ratio.[9]

In May and June 2020 Harriss was a visiting fellow at The Institute for Advanced Study of Aix-Marseille University (IMéRA) where he studied the possibilities of visual and spatial models and animations to illustrate a wide variety of mathematical ideas.[10]

Mathematical art

Файл:MetalCurvahedraBall.jpg
Sculpture made from flat materials using the curvahedra invented by Harris[11]

The Gauss–Bonnet theorem gives the relationship between the curvature of a surface and the amount of turning as you traverse the surface’s boundary.[12] Harriss used this theorem to invent shapes called Curvahedra which were then incorporated into sculpture.[13] Scientists at MIT are investigating ways in which curvahedra may have applications in construction.[14]

Art and mathematics are intertwined in Harris's work.[4] He uses public art to demonstrate deep mathematical ideas[14] and his academic work frequently involves the visualization of mathematics.[15] Mathematically themed sculptures by Harriss have been installed at Oklahoma State University,[16] at the University of Arkansas,[17][18] and at Imperial College London.[4]

Combining his interest in art and mathematical tilings he is one of 24 mathematicians and artists who make up the Mathemalchemy Team.[19][20]

Harriss Spiral

Файл:Golden and Harriss Spiral Story 4.pdf
The Harriss Spiral

Harriss noticed that the golden ratio is just one example of a more general idea: In how many ways can a rectangle be divided into squares and rectangles? The golden ratio results when a rectangle is divided into a one square and one similar rectangle. But by varying the number of squares and sub-rectangles, we arrive at what Harriss calls "proportion systems". The solutions in all cases are algebraic numbers and the golden ratio is just one of them.[21]

"The golden ratio is this incredibly well-explored corner of a whole city,” he said. “I wanted to give signposts to other locations in that city."[6]

Harriss investigated the next simplest case, dividing a rectangle into one square and two similar rectangles. The ratio that emerged in this case is the so-called plastic ratio.[22] The golden spiral is closely related to the first case, dissection into one square and one similar rectangle. Harriss applied the same idea to this second case and discovered a new fractal spiral related to the plastic ratio and since named after him.[6]

Selected publications

Books

Harriss has published several books designed to spread joy in mathematics.[23] The sales of his colouring books run well beyond 100,000.[2][24]

  • (2015) Snowflake Seashell Star: Colouring Adventures in Numberland with Alex Bellos Шаблон:ISBN[25]
  • (2016) Patterns of the Universe: A Coloring Adventure in Math and Beauty, with Alex Bellos Шаблон:ISBN[26]
  • (2016) Visions of the Universe: A Coloring Journey Through Math's Great Mysteries, with Alex Bellos Шаблон:ISBN
  • (2020) Hello Numbers! What Can You Do? 'An Adventure Beyond Counting, with Houston Hughes, Illustrated by Brian Rea Шаблон:ISBN

Papers

References

Шаблон:Reflist

External links

Шаблон:Authority control

  1. Experiencing Mathematics – Edmund Harriss at Imperial College London 11 December 2018
  2. 2,0 2,1 "Colouring-in books boom continues with volume of mathematical patterns", by Alison Flood, The Guardian, 06 Jul 2015
  3. Mathematical Art Galleries: Edmund Harriss Bridges Conference
  4. 4,0 4,1 4,2 Edmund Harriss bio Aix-Marseille University
  5. Edmund Orme Harriss at ResearchGate
  6. 6,0 6,1 6,2 The golden ratio has spawned a beautiful new curve: the Harriss spiral The Guardian, 13 January 2015
  7. Шаблон:MathGenealogy
  8. FSCONS 2009/Summary FSCONS wiki
  9. Edmund Harriss videos
  10. Edmund Harriss: Visiting Fellow IMéRA - Institute for Advanced Study
  11. Mathematician's UA art multiplies, Arkansas Democrat-Gazette, August 31, 2019
  12. Gauss-Bonnet Sculpting, by Edmund Harriss, Bridges 2020
  13. Шаблон:Cite journal
  14. 14,0 14,1 Honors College, Gearharts Dedicate Curvahedra Sculpture University of Arkansas NEWS, Oct. 21, 2021
  15. Mathematician's UA art multiplies; Large outdoor campus work in plans by Jaime Adame, Arkansas Democrat-Gazette, 31 August 2019
  16. Mathematics Learning Success Center to Unveil Artwork OSU College of Arts and Sciences
  17. Courtyard Curvahedra, By Kendall Curlee, University of Arkansas: A+ Online 2021
  18. Experience the Beauty of Mathematics in 'Courtyard Curvahedra' University of Arkansas Newa, March 09, 2022
  19. Mathemalchemy’s Team
  20. Art Installation Celebrates the Beauty and Whimsy of Math Duke Today, November 9, 2021
  21. "Spirals of Harris" thought inspired by the beauty that the golden ratio produces Gigazine.net (in Japanese), Jan 15, 2015
  22. On the cover: Harriss spiral by Matthew Scroggs and Edmund Harriss, Chalkdust Magazine, 14 March 2019
  23. Edmund Harriss The Experiment Publishing
  24. "You're Never Too Old to Color—Especially Math Patterns", by Angela Watercutter, Wired Nov 30, 2015
  25. "Coloring By Numbers, Mathematically", by Chau Tu, Science Friday, February 1, 2016
  26. "Patterns of the Universe A Coloring Adventure in Math and Beauty", Science Magazine, 01 Jan 2016, Vol 351, Issue 6268, p. 36