Most of these images have been created with
MuPAD, for which you can find some example code
here, or with
Mathematica, for which some relevant code is
here.
My gallery Information
Various 2D plots/animations
Second degree rational curve
Third degree rational curve
Fourth degree rational curve
Acnode
Crunode
Tacnode
Animation of hyperbolic functions
Swastika curve
Construction of a fifth order Bezier curve
Interpolation of Bezier curves
Van der Pol oscillator
Construction of a cobweb diagram
Cobweb diagram animation for the logistic map
Construction of an envelope of a family of curves
Construction of a roulette : Cissoid of Diocles
Construction of a roulette (variant)
Pedal curve of an ellipse
Pedal curve of a circle (limaçon)
Negative pedal curve of the limaçon (circle)
Evolute of an ellipse (astroid)
Evolute of a tractrix (catenary)
Involute of a catenary (tractrix)
Evolute of an epicycloid (epicycloid)
Involute of an epicycloid (epicycloid)
Contrapedal of an ellipse
Same curve : pedal of the evolute of the ellipse
Epitrochoids and hypotrochoids
Limaçon
Cardioid
Nephroid
Limaçon
An hypotrochoid with a bigger inner circle : gives the same figure as an epitrochoid
Again : here, a nephroid
Deltoid
Astroid
Lambert W Function
Real part
Imaginary part
Absolute value
Combined
Natural logarithm
Real part
Imaginary part
Absolute value
Combined
Exponential function
Real part
Imaginary part
Absolute value
Combined
Gamma function
Real part
Imaginary part
Absolute value
Absolute value small version
Log of the Gamma function
Real part
Imaginary part
Absolute value
Wright Omega function
Real part
Imaginary part
Absolute value
Convergence and residues
Complex residues
Radius of convergence and Taylor series
Cosine function
Taylor approximation of the cosine function
Taylor cosine approximation (animation)
A graph explaining the values of x^y at (0,0)
Tetration
Graph of for n > 1, showing convergence to
Graph of , showing in black
Benford's law
Graph of the densities of the sets of natural numbers starting with different digits in base 10
Young tableaux
Insertions for the Robinson–Schensted–Knuth algorithm
Result of carrying out insertions
Corresponding recording tableau
Another recording tableau
Row descent and Garnir elements
Straightening a tableau
Row descent and how to pick subsets for Garnir elements
Schur polynomials and the Lindström–Gessel–Viennot lemma
Animation of Viennot's geometric construction of Robinson-Schensted
Coxeter complexes, etc
The Coxeter complex of a finite dihedral group
The Coxeter complex of the infinite dihedral group
The affine root system of type G2
Affine Dynkin diagrams
A0
A1
A2
An
D4
Dn
E6
E7
E8
Kodaira—Néron classification
0 intersection matrix, case 1
0 intersection matrix, case 2
0 intersection matrix, case 3
A1, case 1
A1, case 2
A2, case 1
A2, case 2
An
D4
Dn
E6
E7
E8
Morse theory
Contours around a saddle point
Flow lines on an upright torus
Flow lines on a tilted torus
Critical submanifold for the height function on a laid down torus
Quadrics
Parabolic cylinder
Hyperbolic cylinder
Circular cone
Cone
Circular cylinder
Cylinder
Paraboloid
One-sheeted hyperboloid
Circular one-sheeted hyperboloid
Two-sheeted hyperboloid
Circular two-sheeted hyperboloid
Circular paraboloid
Hyperbolic paraboloid
Ellipsoid
Prolate spheroid
Oblate spheroid
Sphere
Gaussian curvature
Oblate spheroid
Prolate spheroid
Gaussian curvature
Commutative diagrams
A diagram depicting the homotopy lifting property of fibrations
Corresponding dual homotopy extension property of cofibrations
Miscellaneous
A surface showing a global maximum
A surface showing a local minimum, only critical point, but not global minimum
A saddle point
The four-torsion of a complex torus
The Cantor set as the set of binary sequences
A stippled picture of a knotted torus (the knot 6_2)