Shigehiro Ushiki = Polyhedral Symmetries Figures

The text of "Julia set with Polyhedral Symmetries".

Figures of "Julia Sets with Polyhedral Symmetires".

Fig 1.Rational function (4z^3-1)/3z.The Julia set is homeomorphic to the Sierpinski's gasket.

Fig 2. critical type : h_4=0.

Fig 3. critical type : h_8=0. group of symmetry : S_4.

Fig 4. critical type : h_8=0. group of symmetry : S_4.

Fig 5. critical type : h_6^2 = 0. group of symmetry : S_4.

Fig 6. critical type : h_6^2 = 0. group of symmetry : S_4.

Fig 7. critical type : h_6^2h_8 = 0. group of symmetry : S_4.

Fig 8. critical type : h_4^3 = 0. group of symmetry : A_4.

Fig 9. critical type : h_12^2 = 0. group of symmetry : S_4.

Fig 10. critical type : h_8^3 = 0. group of symmetry : S_4.

Fig 11. critical type : h_6^4 = 0. group of symmetry : S_4.

Fig 12. critical type : H_20 = 0. group of symmetry : A_5.

Fig 13. critical type : H_20 = 0. group of symmetry : A_5.

Fig 14. critical type : f_12^3 = 0. group of symetry : A_5.

Fig 15. critical type : f_12^3 = 0. group of symmetry : A_5.

Fig 16. critical type : f_12^3H_20 = 0. group of symmetry : A_5.

Fig 17. critical type : T_30^2 = 0. group of symmetry : A_5.

Fig 18. critical type : f_12^5 = 0. group of symmetry : A_5.

Fig 19. critical type : H_20^3 = 0. group of symmetry : A_5.