Animated drawing

Examples for demonstration

Here you have a list of curves and surfaces plotted with animation. You may either see them directly, or load them into the menu and play with them (i.e. change parameters and options).
  1. A plane curve which is progressively drawn. (Cycloid)
    Show it   Load its equations the menu
  2. The Cycloid is the orbit of a point on a circle rolling along a straight line. Here you can see how this is done precisely, with multiple curve plotting.
    Show it   Load its equations the menu
  3. By the same principle, the astroid (cos^3(t),sin^3(t)) is the orbit of a point on a circle of radius 1/4 rolling inside a fixed circle of radius 1.
    Show it   Load its equations the menu
  4. We have also the astroid with 3 arcs.
    Show it   Load its equations the menu
  5. Zooming effect on the curve sin(1/x).
    Show it   Load its equations the menu
  6. A moving tangent along a plane parametric curve (cardioid).
    Show it   Load its equations the menu
  7. The moving tangent along the astroid has a special property: the segment of the tangent cut out by the coordinate axes is of constant length.
    Show it   Load its equations the menu
  8. How an ellipse is drawn by a point on a segment of fixed length with two extremities on the x and y axes respectively.
    Show it   Load its equations the menu
  9. An animation which illustrates the functions sin and cos as vertical and horizontal positions of a moving point on a circle.
    Show it   Load its equations the menu
  10. Rotating and growing trefoil.
    Show it   Load its equations the menu
  11. A space cubic curve. Most simple, but only its movement shows what it is about.
    Show it   Load its equations the menu
  12. A Lissajous figure with rotating phase.
    Show it   Load its equations the menu
  13. The above Lissajous figure is a projection of this space curve. (To see how the projection works, load this formula into the menu and set vertical viewing angle to 0.)
    Show it   Load its equations the menu
  14. Another space curve, a little bit more complicated: hyperbolic spiral.
    Show it   Load its equations the menu
  15. Parabolo飀 z=ax2+by2. One sees the surface deform with the variations of a and b.
    Show it   Load its equations the menu
  16. Deformation of hyperboloid x2+y2+az2=1. Vertical.
    Show it   Load its equations the menu
  17. Deformation of hyperbolo飀e x2+ay2+z2=1. Horizontal.
    Show it   Load its equations the menu
  18. The Moebius band.
    Show it   Load its equations the menu
  19. Riemann surface of two sheets crossing each other.
    Show it   Load its equations the menu
  20. A surface with a singular line, which resembles the precedent one but does not cross.
    Show it   Load its equations the menu
  21. Deformation of one into the other, for the above two surfaces. Without rotation.
    Show it   Load its equations the menu
  22. As above but with rotation at the same time.
    Show it   Load its equations the menu
  23. A plane deforming into a cylinder then back to a plane from the other direction.
    Show it   Load its equations the menu

If you have produced a particularly interesting plot, please let me know (with descriptions, formulas et options). I might include it into this demo page (of course with credit to you).

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Description: plot zooming, deforming and rotating curves and surfaces. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games

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