A la découverte des (Hyper)complexes,
des fractales ET de la théorie du Chaos
Sont-ils présents dans notre monde ?
Le Burning Ship !
(ABS(RE(Z))+i*ABS(IM(Z)))^2+C
(ABS(RE(Z))+i*ABS(IM(Z)))^2+C (zoom tout en bas à gauche)
Si on zoom sur le tout petit point moir en bas à gauche, on retrouve un bateau plus terrifiant !
Le Burning Ship en 3D (juste pour le fun)
(ABS(RE(Z))+i*ABS(IM(Z)))^11+C
(ABS(RE(Z))+i*ABS(IM(Z)))^3+C = Bird of Prey
Flutterby Fractal in the Bird of Prey
Burning Ship Fractal - Warp Drive
Le Burning Ship "conjugué" - Buffalo fractal
(ABS(RE(Z))-i*ABS(IM(Z)))^2+C
(ABS(RE(Z))-i*ABS(IM(Z)))^3+C = Bird of Prey
(ABS(RE(Z))-i*ABS(IM(Z)))^4+C
(ABS(RE(Z))-i*ABS(IM(Z)))^5+C
(ABS(RE(Z))-i*ABS(IM(Z)))^6+C
Le Burning Bird !
数理科学美術館「 燃える鳥 」
Now taking the absolute value of the only imaginary part of z under iteration, the completely different images appear.
http://v.rentalserver.jp/morigon.jp/Repository/SUBI0/SUBI_BurningBird_e.html
http://v.rentalserver.jp/morigon.jp/Repository/SUBI0/SUBI_BurningBird2_e.html
(RE(Z)-i*ABS(IM(Z)))^2+C
(RE(Z)-i*ABS(IM(Z)))^2+C (zoom)
(RE(Z)-i*ABS(IM(Z)))^2+C (zoom et zoom) ==> Burning Bird !
(ABS(RE(Z))+i*ABS(IM(Z)))^3+C^3
Des valeurs particulières pour la constante 'c'
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.15-0.4*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1-i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-0.75-0.9*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-0.75
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.675-1.15*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.87-1.52*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.975-1.175*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.975-1.175*i (zoom au centre)
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.29-0.29*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.425+0.25*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.295*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.296*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.297*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.3*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.31*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.32*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.33*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.34*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2+0.35*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-0.8+0.05*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-0.8+0.1*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.40-0.4*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.90-0.4*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.55-0.02*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.55-0.10*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.55-0.05*i
(ABS(RE(Z))+i*ABS(IM(Z)))^2-1.55-0.01*i
Simulation du Burning Ship avec une appli Java
Burning Ship puissance 3
Burning Ship puissance 5
