User:Sam Derbyshire/Gallery
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Here is my gallery of mathematical pictures. If you have any ideas for something interesting to visualise, please say so on my talk page.
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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
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Second degree rational curve
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Third degree rational curve
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Fourth degree rational curve
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Acnode
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Crunode
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Tacnode
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Animation of hyperbolic functions
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Swastika curve
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Construction of a fifth order Bezier curve
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Interpolation of Bezier curves
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Van der Pol oscillator
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Construction of a cobweb diagram
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Cobweb diagram animation for the logistic map
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Construction of an envelope of a family of curves
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Construction of a roulette : Cissoid of Diocles
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Construction of a roulette (variant)
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Pedal curve of an ellipse
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Pedal curve of a circle (limaçon)
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Negative pedal curve of the limaçon (circle)
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Evolute of an ellipse (astroid)
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Evolute of a tractrix (catenary)
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Involute of a catenary (tractrix)
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Evolute of an epicycloid (epicycloid)
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Involute of an epicycloid (epicycloid)
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Contrapedal of an ellipse
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Same curve : pedal of the evolute of the ellipse
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Limaçon
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Cardioid
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Nephroid
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Limaçon
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An hypotrochoid with a bigger inner circle : gives the same figure as an epitrochoid
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Again : here, a nephroid
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Deltoid
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Astroid
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Real part
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Imaginary part
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Absolute value
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Combined
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Real part
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Imaginary part
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Absolute value
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Combined
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Real part
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Imaginary part
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Absolute value
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Combined
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Real part
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Imaginary part
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Absolute value
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Absolute value small version
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Real part
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Imaginary part
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Absolute value
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Real part
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Imaginary part
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Absolute value
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Complex residues
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Radius of convergence and Taylor series
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Cosine function
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Taylor approximation of the cosine function
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Taylor cosine approximation (animation)
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A graph explaining the values of x^y at (0,0)
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Graph of for n > 1, showing convergence to
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Graph of , showing in black
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Graph of the densities of the sets of natural numbers starting with different digits in base 10
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Insertions for the Robinson–Schensted–Knuth algorithm
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Result of carrying out insertions
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Corresponding recording tableau
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Another recording tableau
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Row descent and Garnir elements
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Straightening a tableau
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Row descent and how to pick subsets for Garnir elements
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Schur polynomials and the Lindström–Gessel–Viennot lemma
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Animation of Viennot's geometric construction of Robinson-Schensted
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The Coxeter complex of a finite dihedral group
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The Coxeter complex of the infinite dihedral group
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The affine root system of type G2
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A0
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A1
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A2
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An
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D4
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Dn
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E6
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E7
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E8
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0 intersection matrix, case 1
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0 intersection matrix, case 2
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0 intersection matrix, case 3
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A1, case 1
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A1, case 2
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A2, case 1
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A2, case 2
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An
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D4
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Dn
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E6
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E7
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E8
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Contours around a saddle point
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Flow lines on an upright torus
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Flow lines on a tilted torus
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Critical submanifold for the height function on a laid down torus
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Parabolic cylinder
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Hyperbolic cylinder
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Circular cone
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Cone
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Circular cylinder
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Cylinder
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Paraboloid
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One-sheeted hyperboloid
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Circular one-sheeted hyperboloid
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Two-sheeted hyperboloid
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Circular two-sheeted hyperboloid
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Circular paraboloid
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Hyperbolic paraboloid
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Ellipsoid
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Prolate spheroid
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Oblate spheroid
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Sphere
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Oblate spheroid
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Prolate spheroid
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Gaussian curvature
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A diagram depicting the homotopy lifting property of fibrations
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Corresponding dual homotopy extension property of cofibrations
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A surface showing a global maximum
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A surface showing a local minimum, only critical point, but not global minimum
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A saddle point
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The four-torsion of a complex torus
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The Cantor set as the set of binary sequences
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A stippled picture of a knotted torus (the knot 6_2)
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