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)