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Exploring Biomorphs: Definition, Discovery, and Future Projects

This article by Jean-Louis Seichepine explores the definition and discovery of biomorphs, detailing personal work, future projects, and the theory behind these creations. Biomorphs are generated through complex number functions, mirroring elements of life and shape. Seichepine shares his journey with biomorphs, including meeting them in 1989 and his personal computer experiments in 1997. The text emphasizes creativity, brainstorming, and the intersection of science and art, inviting readers to engage in the world of biomorphs. Learn more at http://perso.club-internet.fr/lukem/biomorphe_aa.htm.

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Exploring Biomorphs: Definition, Discovery, and Future Projects

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  1. How I met the BiomorphsHow I made Biomorphs Jean-Louis Seichepine TP LE03 – 17th December 2004

  2. 1 – Definition and discovery of biomorphs 2 – My meeting with them 3 – My personal work 4 – Future projects

  3. 1 – Definition and discovery of biomorphs 2 greek words, which mean «life» and «shape» http://sprott.physics.wisc.edu/pickover/home.htm

  4. 2 – My meeting with them 1989 An article in « Pour la science » (« For the science ») N°143 (septembre 1989) French version of « Scientific American » « Partie de pêche » (« Fishing party ») pp. 98 à 101 N°143 Some biomorphs viewed through a microscope, together with the function where they come from

  5. 2 – My meeting with them Theory Biomorphs live in the imaginary plan, where each point M0 is associated to a complex number z0 = a0 + i b0 a0 , b0 : real numbers i : square root of -1 A biomorph is generated by a function f of a complex number giving another complex number, like : f(z) = zA + B + C i + D cos(z) + E sin(z) + F ez + G zz A, B, C, D, E, F, G : chosen real numbers For each z0 in the considered area : z1 = f(z0), z2 = f(z1), ……. , z10 = f(z9) At each step : zn = an + i bn rn = I zn I If rn > 10, calculations are stopped If it does not happen calculations are stopped after 10 iterations h(M0) = min ( I an I, I bn I ) The biomorph is then obtained as a map of h

  6. 2 – My meeting with them 1997 Playing with my own computer

  7. 3 – My personal work : Wallpaper

  8. 3 – My personal work : Home page

  9. 3 – My personal work : Illustation for a presentation 1 – Any reproach is forbidden 2 – The free imagination is requested Brain storming Rules for a maximum efficiency 4 – It is recommended to steal the ideas of others 3 – The number of ideas is more important than their quality

  10. 3 – My personal work : Picture for Season’s Greetings

  11. Biomorphs gallery 3 – My personal work : Website To learn more http://perso.club-internet.fr/lukem/biomorphe_aa.htm

  12. 4 – Future projects Questions for the future : Is that science or art ? What are the relationships between mathematics and beauty ? If I proposed a February activity on biomorphs, who would be interested ? But immediatly : Thank you for your attention, At your disposal for questions, And have a nice end of the year !

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