Matematica // Mathematics
Miscellanea di immagini matematiche // A miscellanea of mathematical images
 
 
Basin of attraction of ((3+2i)/4)z+z^2
 
 
 
Basin of attraction of ((3+2i)/4)z+z^2: detail
 
 
 
Basin of attraction of ((3+2i)/4)z+z^2
 
 
 
Basin of attraction of ((3+2i)/4)z+z^2: detail
 
 
 
Basin of attraction of z^2+(1/2)z^3
 
 
 
Attractive parabolic basins of z-z^3
 
 
 
Attractive and repelling parabolic basins of z-z^3
 
 
 
Attractive and repelling parabolic basins of z-z^3: detail
 
 
 
Attractive and repelling parabolic basins of z-z^3: detail
 
 
 
Parabolic basin of z-z^2+z^3-z^4+z^5: detail
 
 
 
Parabolic basin of z-z^2+z^3-z^4+z^5: detail
 
 
 
Siegel disk of e^(2\pi i x) z+z^2, with x=(1+\sqrt{5})/2
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i: detail
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i: detail
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i: detail
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i: detail
 
 
 
Julia set of z^2 + 0.254875 + 0.0007 i: detail
 
 
 
Julia set
 
 
 
Julia set: detail
 
 
 
Julia set: detail
 
 
 
Julia set
 
 
 
Strange attractor for a Henon map
 
 
 
Basin of attraction of Henon strange attractor
 
 
 
Julia set of z^2 + 0.11031 + 0.67037 i
 
 
 
Julia set of z^2 + 0.11031 + 0.67037 i: detail
 
 
 
Julia set of z^2 - 0.194 + 0.6557 i
 
 
 
Julia set of z^2 - 0.194 + 0.6557 i: detail
 
 
 
Julia set of z^2 - 0.74543 + 0.11301 i
 
 
 
Julia set of z^2 - 0.74543 + 0.11301 i: detail
 
 
 
Julia set of z^2 - 0.75438 - 0.21267 i: detail
 
 
 
Basins of attraction for the Newton method for x^3 -1 
 
 
 
Basins of attraction for the Newton method for x^3 - 1
 
 
 
Basins for Newton for x^3 – (0.68 + 1.63 i) x – 0.32 + 1.63 i 
 
 
 
Basins for Newton for x^3 – (0.68 + 1.63 i) x – 0.32 + 1.63 i 
 
 
 
Paraboloid
 
 
 
Gauss map for a paraboloid
 
 
 
Gauss map for a paraboloid
 
 
 
Gauss map for a hyperboloid
 
 
 
Gauss map for a hyperboloid
 
 
 
Hyperboloid
 
 
 
Triangulation of a bitorus
 
 
 
Fake tangent vector field on a sphere
 
 
 
Tangent vector field on a sphere
 
 
 
Tangent vector field on a torus
 
 
 
Tetrahedron
 
 
 
Cube
 
 
 
Octahedron
 
 
 
Dodecahedron
 
 
 
Icosahedron
 
 
 
Sphere
 
 
 
Spheres
 
 
 
Torus
 
 
 
Triangulation of a torus
 
 
 
Several Julia sets
 
 
 
Several Julia sets
 
 
 
Blow-up of a Julia set
 
 
 
Julia set of z^2 + 0.31 + 0.4 i
 
 
 
Julia set of (z^2 / (2z - 1))^2
 
 
 
Julia set of (z^2 / (2z - 1))^2
 
 
 
Julia set of (z^2 / (2z - 1))^2
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set
 
 
 
Julia set of z^2+0.31+0.4 i
 
 
 
Julia set of z^2+0.31+0.4 i
 
 
 
Julia set of z^2+0.31+0.4 i
 
 
 
Julia set of z^2 - 0.74543 + 0.11301 i
 
 
 
Julia set: detail
 
 
 
A mathematical pi sunflower
 
 
 
A mathematical 2/13 sunflower
 
 
 
A mathematical 7/8 sunflower
 
 
 
A mathematical 201/101 sunflower
 
 
 
A mathematical e sunflower
 
 
 
A mathematical square root of 2 sunflower
 
 
 
A mathematical square root of 5 sunflower
 
 
 
A mathematical square root of golden ratio sunflower
 
 
 
A mathematical golden ratio + 0.2 sunflower
 
 
 
A mathematical golden ratio + 0.05 sunflower
 
 
 
A mathematical golden ratio sunflower
 
 
 
A mathematical 2/5 sunflower
 
 
 
A mathematical pi sunflower
 
 
 
A mathematical golden ratio sunflower
 
 
 
A mathematical golden ratio + 0.05 sunflower
 
 
 
Basins of attraction for the Newton method for x^2-1
 
 
 
Basins of attraction for the Newton method for x^3-2x+2
 
 
 
Orbit for the Newton method for x^3-2x+2
 
 
 
Orbit for the Newton method for x^3-2x+2
 
 
 
Orbit for the Newton method for x^3-2x+2
 
 
 
Orbit for the Newton method for x^3-2x+2
 
 
 
Basins of attraction for the Newton method for x^4-3x^2-4
 
 
 
Basins of attraction for the Newton method for x^4-3x^2-4
 
 
 
Basins of attraction for the Newton method for x^4-3x^2-4
 
 
 
Basins of attraction for the Newton method for x^4-3x^2-4
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Basins of attraction for the Newton method
 
 
 
Geodesics of quadratic vector fields (case 111)
 
 
 
Geodesics of quadratic vector fields (case 111, speed)
 
 
 
Geodesics of quadratic vector fields (case 2011)
 
 
 
Geodesics of quadratic vector fields (case 2011, speed)
 
 
 
Geodesics of quadratic vector fields (case 2101)
 
 
 
Geodesics of quadratic vector fields (case 2100)
 
 
 
Geodesics of quadratic vector fields (case 2100, speed)
 
 
 
Geodesics of quadratic vector fields (case 3)
 
 
 
Geodesics of quadratic vector fields (case 3)
 
 
 
Geodesics of quadratic vector fields (case 3, speed)
 
 
 
Geodesics of quadratic vector fields (case 3)
 
 
 
Geodesics of quadratic vector fields (case 3, speed)