Johan Gielis Explained

Johan Gielis
Birth Date:8 July 1962
Citizenship:Belgian
Nationality:Belgian
Thesis Title:Universal Natural Shapes[1]
Thesis Year:2010
Known For:Proposing the superformula
Website:https://scholar.google.nl/citations?user=b9Q6yVMAAAAJ&hl=nl

Johan Gielis (born July 8, 1962) is a Belgian engineer, scientist, mathematician, and entrepreneur.[2] Gielis is known for his contributions to the field of mathematics, specifically in the area of modeling and geometrical methods. He is best known for developing the concept of the superformula, which is a generalization of the traditional Pythagorean theorem and the equation of the circle, that can generate a wide variety of complex shapes found in nature.[3]

Career

Gielis obtained a degree in horticultural engineering.[4] Later, he changed direction from botany and plant biotechnology to geometry and mathematics. In 2013, Gielis co founded the Antenna Company, in Eindhoven. The company applies the superfomula to develop efficient antennas to transmit data via various frequencies.[5] The company made antenna system for ultra-fast WiFi 6 devices. Antenna systems focus on 2-7 gigaHertz, in line with the IEEE 802.11ax standard and beyond. Other products focus on Internet of Things and mmWave antenna systems.[6] [7]

Superformula

Gielis proposed the superformula in 2003.[8] The superfomula is a generalization of the superellipse.[9] He suggested that it allows for the creation of shapes that can mimic natural forms such as flowers, shells, and other intricate structures. The mathematical equation combines elements of trigonometry and algebra to generate complex and visually appealing patterns. It also allowed for a generalization of minimal surfaces based on a more general notion of the energy functional and allowed for a generalized definition of the Laplacian,[10] and the use of Fourier projection methods to solve boundary value problems.

1
r

=\sqrt[n1]{\left|

1
a

\cos\left(

m
4

\phi\right)

n2
\right|

+\left|

1
b

\sin\left(

m
4

\phi\right)

n3
\right|
}

r - distance from the center, Φ - Angle to the x-axis, m - symmetry, n1, n2, n3: - Form, a, b: - expansion (semi-axes)[11]

Gielis patented the synthesis of patterns generated by the superformula.[12] [13] The superformula was used in No Man's Sky, an action-adventure survival game developed and published by Hello Games.[13] [14] The formula was also used in the Jewels of the Sea.[15]

Publications

Books

Journals

External links

Notes and References

  1. Web site: Gielis . Johan . Thesis: Universal Natural Shapes . 2023-07-10 . ru.on.worldcat.org.
  2. Web site: Outreach . Research . 2021-09-03 . Superellipses to Superformula: The impact of Gielis Transformations . 2023-06-29 . Research Outreach . en-GB . 2023-05-26 . https://web.archive.org/web/20230526210342/https://researchoutreach.org/articles/superellipses-superformula-impact-gielis-transformations/ . live .
  3. 7620527. Method and apparatus for synthesizing and analyzing patterns utilizing novel "super-formula" operator. US. 2009-11-17. Gielis. Johan Leo Alfons.
  4. Book: Aitken-Christie . Jenny . Automation and environmental control in plant tissue culture . Kozai . T. . Smith . M. A. L. . 2013-06-29 . Springer Science & Business Media . 978-94-015-8461-6 . 472 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705143154/https://books.google.com/books?id=NEbrCAAAQBAJ&newbks=0&printsec=frontcover&pg=PA472&dq=who+is+johan+gielis+%3F&hl=en . live .
  5. Web site: 2020-06-02 . How the Gielis Superformula led to an ingenious Caratelli antenna and a modest Dutch start-up that conquered the world . live . https://web.archive.org/web/20230323215136/https://innovationorigins.com/en/how-the-gielis-superformula-led-to-an-ingenious-caratelli-antenna-and-a-modest-dutch-start-up-that-conquered-the-world/ . 2023-03-23 . 2023-06-29 . IO . en-GB.
  6. Book: Theis . Guilherme . Smolders . A. Bart . Federico . Gabriele . Caratelli . Diego . 2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI) . A Class of Dielectric Resonator Antennas with Thermally Enhanced Performance . December 2021 . https://ieeexplore.ieee.org/document/9704094 . 1175–1176 . 10.1109/APS/URSI47566.2021.9704094. 978-1-7281-4670-6 . 246868331 .
  7. Dielectric Resonator Antenna Arrays for 5G Wireless Communications . 2020-02-06 . Microwave Journal . 2023-07-10 . en.
  8. Book: Ortiz, Jesús Hamilton . Wearable Technologies . 2018-10-03 . BoD – Books on Demand . 978-1-78984-003-2 . 221 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141142/https://books.google.com/books?id=wHuQDwAAQBAJ&newbks=0&printsec=frontcover&pg=PA221&dq=who+is+johan+gielis+%3F&hl=en . live .
  9. Gielis . J. . 2003-03-01 . A generic geometric transformation that unifies a wide range of natural and abstract shapes . American Journal of Botany . en . 90 . 3 . 333–338 . 10.3732/ajb.90.3.333 . 21659124 . 0002-9122 . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141144/https://bsapubs.onlinelibrary.wiley.com/doi/full/10.3732/ajb.90.3.333 . live .
  10. Koiso . Miyuki . Palmer . Bennett . February 2008 . Rolling construction for anisotropic Delaunay surfaces . Pacific Journal of Mathematics . 234 . 2 . 345–378. 10.2140/pjm.2008.234.345 .
  11. Book: Chattopadhyay, Sudipta . Microstrip Antennas: Trends in Research on . 2017-11-15 . BoD – Books on Demand . 978-953-51-3601-9 . 91 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141105/https://books.google.com/books?id=smqQDwAAQBAJ&newbks=0&printsec=frontcover&pg=PA91&dq=who+is+johan+gielis+%3F&hl=en . live .
  12. Web site: Espacenet – search results . 2023-06-29 . worldwide.espacenet.com . 2023-07-05 . https://web.archive.org/web/20230705141114/https://worldwide.espacenet.com/patent/search?q=pn=EP1177529 . live .
  13. Web site: Chamary . J. V. . Did 'No Man's Sky' Steal A Scientist's Superformula? . 2023-06-29 . Forbes . en . 2023-05-25 . https://web.archive.org/web/20230525023903/https://www.forbes.com/sites/jvchamary/2016/07/27/no-mans-sky-superformula/ . live .
  14. Web site: Palumbo . Alessio . 2016-07-25 . No Man's Sky Is Not Using Gielis' Superformula, But Sean Murray Wants To "Chat Maths" with Him . 2023-06-29 . Wccftech . en-US . 2022-12-09 . https://web.archive.org/web/20221209022907/https://wccftech.com/no-mans-sky-not-using-gielis-superformula-sean-murray-wants-chat-maths/ . live .
  15. Web site: Max Seeger - Jewels of the sea . 2023-06-29 . maxseeger.de . en-US . 2023-03-26 . https://web.archive.org/web/20230326002120/https://maxseeger.de/jewels-of-the-sea . live .
  16. Book: 2017 . Gielis . Johan . Ricci . Paolo Emilio . Tavkhelidze . Ilia . Modeling in Mathematics . en . 10.2991/978-94-6239-261-8 . 978-94-6239-260-1 . 125670039 . 2023-07-05 . 2022-03-03 . https://web.archive.org/web/20220303051618/http://link.springer.com/book/10.2991/978-94-6239-261-8 . live .
  17. Book: Gielis, Johan . Inventing the Circle . 2003 . Geniaal bvba . 978-90-807756-1-9 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141119/https://books.google.com/books?id=5lUMtwAACAAJ&newbks=0&hl=en . live .
  18. Book: Gielis, Johan . The Geometrical Beauty of Plants . 2017-06-01 . Springer . 978-94-6239-151-2 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141641/https://books.google.com/books?id=wVAmDwAAQBAJ&newbks=0&printsec=frontcover&dq=inauthor:%22Johan+Gielis%22&hl=en . live .
  19. Book: Gielis, Johan . Universal Natural Shapes . 2010 . UB Nijmegen [host] . 978-90-90-25193-6 . en . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141616/https://books.google.com/books?id=xZJFkgEACAAJ&newbks=0&hl=en . live .
  20. De Tommasi . Edoardo . Gielis . Johan . Rogato . Alessandra . October 2017 . Diatom Frustule Morphogenesis and Function: a Multidisciplinary Survey . Marine Genomics . en . 35 . 1–18 . 10.1016/j.margen.2017.07.001 . 28734733 . 2017MarGn..35....1D . 10067/1445460151162165141 . 2023-07-05 . 2022-08-03 . https://web.archive.org/web/20220803200712/https://linkinghub.elsevier.com/retrieve/pii/S1874778717301265 . live . free .
  21. Gillis . Koen . Gielis . Johan . Peeters . Hilde . Dhooghe . Emmy . Oprins . Jan . 2007-11-01 . Somatic embryogenesis from mature Bambusa balcooa Roxburgh as basis for mass production of elite forestry bamboos . Plant Cell, Tissue and Organ Culture . en . 91 . 2 . 115–123 . 10.1007/s11240-007-9236-1 . 22421222 . 1573-5044 . 2023-07-05 . 2023-07-05 . https://web.archive.org/web/20230705141610/https://link.springer.com/article/10.1007/s11240-007-9236-1 . live .
  22. Gielis . J. . Peeters . H. . Gillis . K. . Oprins . J. . Debergh . P.C. . Tissue Culture Strategies for Genetic Improvement of Bamboo . July 2001 . Acta Horticulturae . 552 . 195–204 . 10.17660/ActaHortic.2001.552.22 . 0567-7572 . 2023-07-05 . 2018-06-02 . https://web.archive.org/web/20180602005309/https://www.actahort.org/books/552/552_22.htm . live .
  23. Computer implemented tool box systems and methods. US. 8818771. 2014-08-26. Gielis. Johan. Caratelli. Diego.
  24. Book: Gielis . Johan . Beirinckx . Bert . Bastiaens . Edwin . Proceedings of the eighth ACM symposium on Solid modeling and applications . Superquadrics with rational and irrational symmetry . 2003-06-16 . https://doi.org/10.1145/781606.781647 . SM '03 . New York, NY, USA . Association for Computing Machinery . 262–265 . 10.1145/781606.781647 . 978-1-58113-706-4. 17865755 .
  25. Shi . Pei-Jian . Xu . Qiang . Sandhu . Hardev S. . Gielis . Johan . Ding . Yu-Long . Li . Hua-Rong . Dong . Xiao-Bo . October 2015 . Comparison of dwarf bamboos (Indocalamus sp.) leaf parameters to determine relationship between spatial density of plants and total leaf area per plant . Ecology and Evolution . en . 5 . 20 . 4578–4589 . 10.1002/ece3.1728 . 4670054 . 26668724 . 2015EcoEv...5.4578S .
  26. Shi . Peijian . Ratkowsky . David A. . Li . Yang . Zhang . Lifang . Lin . Shuyan . Gielis . Johan . November 2018 . A General Leaf Area Geometric Formula Exists for Plants—Evidence from the Simplified Gielis Equation . Forests . en . 9 . 11 . 714 . 10.3390/f9110714 . 1999-4907 . free . 10067/1563240151162165141 . free .

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