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How I met the Biomorphs How I made Biomorphs

How I met the Biomorphs How I made Biomorphs. Jean-Louis Seichepine TP LE03 – 17 th December 2004. 1 – Definition and discovery of biomorphs 2 – My meeting with them 3 – My personal work 4 – Future projects. 1 – Definition and discovery of biomorphs. 2 greek words, which mean

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How I met the Biomorphs How I made Biomorphs

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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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