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).

A plane curve which is progressively drawn. (Cycloid)
Show it
Load its equations the menu

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

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

We have also the astroid with 3 arcs.
Show it
Load its equations the menu

Zooming effect on the curve sin(1/x).
Show it
Load its equations the menu

A moving tangent along a plane parametric curve (cardioid).
Show it
Load its equations the menu

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

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

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

Rotating and growing trefoil.
Show it
Load its equations the menu

A space cubic curve. Most simple, but only its movement shows what it is about.
Show it
Load its equations the menu

A Lissajous figure with rotating phase.
Show it
Load its equations the menu

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

Another space curve, a little bit more complicated: hyperbolic spiral.
Show it
Load its equations the menu

Paraboloïd z=ax^{2}+by^{2}. One sees the surface deform with the variations of a and b.
Show it
Load its equations the menu

Deformation of hyperboloid x^{2}+y^{2}+az^{2}=1. Vertical.
Show it
Load its equations the menu

Deformation of hyperboloïde x^{2}+ay^{2}+z^{2}=1. Horizontal.
Show it
Load its equations the menu

The Moebius band.
Show it
Load its equations the menu

Riemann surface of two sheets crossing each other.
Show it
Load its equations the menu

A surface with a singular line, which resembles the precedent one but does not cross.
Show it
Load its equations the menu

Deformation of one into the other, for the above two surfaces. Without rotation.
Show it
Load its equations the menu

As above but with rotation at the same time.
Show it
Load its equations the menu

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).
Other help subjects
Esta página no tiene el aspecto habitual porque WIMS no ha podido reconocer
su navegador web.
Por favor, observe que las páginas de WIMS se generan interactivamente; no son
archivos HTML ordinarios. Deben usarse interactivamente y estando conectados. Es inútil
que las almacene con un programa automático.
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
Keywords: wims, mathematics, mathematical, math, maths, interactive mathematics, interactive math, interactive maths, mathematic, online, calculator, graphing, exercise, exercice, puzzle, calculus, K12, algebra, mathématique, interactive, interactive mathematics, interactive mathematical, interactive math, interactive maths, mathematical education, enseignement mathématique, mathematics teaching, teaching mathematics, algebra, geometry, calculus, function, curve, surface, graphing, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, geometry, analysis, geometry,tracer,plotter,plot,graphing,surface,curve,parametric curve,parametric surface,polar curve,animated plotter,space curve,animation,video,zoom,deformation,rotation