Manipulating a Surface and Color Contours

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In summary, the conversation was about trying to have color contours of a surface and manipulating the surface using a sample code. It was noted that when stepping forward, Mathematica plots the surface and the color contours, but when playing the video, the color contours do not show. It was mentioned that the contour lines take some time to appear and that changing the slider immediately shows the surface, but there is a delay for the contour to be drawn. Despite trying different parameters, a solution to display the contour before changing to the next value of t was not found.
  • #1
member 428835
Hi PF!

I'm trying to have color contours of a surface and then manipulate the surface. Using the sample code below, we see that if you step forward Mathematica plots the surface and then also the color contours. However, rather than stepping forward, if we play the video the color contours don't show. Any help would be amazing!

Manipulate[
Show[ParametricPlot3D[{2 s t z, 3 s t, s^2}, {s, -1, 1}, {z, 0, 1},
PlotStyle -> {{Blue, Lighting -> "Neutral", Specularity[Blue, 0.3],
Opacity[0.9]}},
MeshStyle -> {{Yellow, Thick}, {Yellow, Thick}}]], {t, 0, 1}]
 
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  • #2
It seems that the contour lines take some time to appear: if you move the slider, you will see the surface change immediately, but it takes a fraction of a second for the contour to be drawn when you stop. I played around with a few parameters, but unfortunately, I couldn't find a way to have the contour be displayed before it changes to the next value of t.
 

1. What is surface manipulation?

Surface manipulation is the process of changing the shape, texture, or appearance of a surface, such as a 2D or 3D object, using various techniques and tools.

2. How can surface manipulation be achieved?

Surface manipulation can be achieved through physical methods, such as molding, carving, or sculpting, or through digital methods, such as using software to modify virtual surfaces.

3. What are color contours?

Color contours are lines or bands that represent changes in color on a surface. They are often used to show variations in elevation or depth on a map or image.

4. How can color contours be manipulated?

Color contours can be manipulated by adjusting the placement, spacing, or color values of the contour lines. They can also be modified by changing the underlying surface's color or texture.

5. What are some applications of surface and color contour manipulation?

Surface and color contour manipulation has many practical applications in fields such as geology, cartography, and computer graphics. It can be used to create realistic 3D models, analyze topographical data, and enhance visualizations of scientific data.

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