Animate, Rotate, Zoom and Fly!

Click on the bottom four graphics to see the animations generated by Scientific WorkPlace v5.5

(firewall and anti-popup settings permitting...)

The VCAM Window and 3D Plots

Plots of 3D surfaces can be rotated and inspected by activating a VCAM window. In a read-only document, click the plot frame to activate a VCAM window. In a read-write document, click the plot frame to make the VCAM tool vcamicon.bmp visible, then click the VCAM tool to activate the VCAM window.


vcamwindow.png

The VCAM toolbar on the top edge of the VCAM window gives control over the plot. The Rotate, Zoom, Move, and Plot Coordinates tools allow you to control the plot with your mouse. The Start/Stop Rotate tools and the Zoom tools animate rotation and zooms.


vcambar1.wmf
Click the Help tool to activate VCAM User Interface Help, which provides additional details about each of the VCAM features. Click the View Control tool to view and edit details about the current view.


currentview.png


 

 

Animated 3D Plots

Click on the three graphics below to see the animations generated by Scientific WorkPlace v5.5

(firewall and anti-popup settings permitting...)

 

For an animated plot, you specify a third animation parameter. The default animation parameter is $t$.

Animated 3D Plots in Rectangular Coordinates

$>$To make an animated plot in rectangular coordinates

  1. Type an expression in three variables.

  2. With the insertion point in the expression, choose Plot 3D Animated + Rectangular.

The next example shows a 3D animated plot with Boxed Axes and Intervals $-5\leq x\leq 5$, $-5\leq y\leq 5$, $-3\leq t\leq 3$, where $t$ is the animation variable. The View is set to Turn: $40$, Tilt: $80$. The surface changes from a hyperbolic paraboloid ($t<0$), to a paraboloid ($t=0$), then to a hyperbolic paraboloid with a different orientation

($t>0$).

MATHPlot 3D Animated + Rectangular - click on graphic for Animation (1.5Mb)

$x^{2}+y^{2}+txy$


graphics/animation__18.png
 

For animated 3D plots, the VCAM toolbar on the top edge of the VCAM window gives additional control over the plot. The Animation Style drop-down menu includes the options Run Once, Loop, and Back and Forth. The Animation Speed drop-down menu includes options that range from 8 $\times $ Slower to 8 $\times $ Faster.
vcambar2.wmf

$>$To make a parameterized animated plot in rectangular coordinates

  1. Type an expression of the form MATH

  2. With the insertion point in the expression, choose Plot 3D Animated + Rectangular.

The next example shows a cylinder that is transformed from the right circular cylinder $r=1$ to a cylinder based on the limaçon of Pascal $r=1-2\sin \theta $, with Intervals $0\leq z\leq 1$, MATH, and $0\leq t\leq 2$. The View Orientation is Turn: $20$, Tilt: $20$.

MATHPlot 3D Animated + Cylindrical - click on graphic for Animation (1.8Mb)

$1-t\sin \theta $


graphics/animation__33.png

$>$To make a parametric animated plot in cylindrical coordinates

  1. Type an expression of the form MATH

  2. With the insertion point in the expression, choose Plot 3D Animated + Cylindrical.

The next animation shows a knot being drawn. The Intervals are $0\leq s\leq 2\pi $ and $0.01<t<1$, and Radius is set to $3$.

MATHPlot 3D Animated + Tube - click on graphic for Animation (1.4Mb)

MATH


graphics/animation__47.png

 

For a free 30-day trial of Scientific Word, Scientific WorkPlace or Scientific Notebook, please click on Demodisks/Screenshot .