Representations of Surfaces (part 1): z=f(x,y)

Surface of the form: (z=f(x,y))

We construction an example function of the form z = U(S,V) for display with different kinds of superimposed information.

In[19]:=

A default view of the surface.

In[21]:=

Out[21]=

Plotting the surface with levels of constant height superimposed and colored according to its height.

In[22]:=

Out[22]=

This function will be used to paint surface according to an angular variable.

In[23]:=

Drawing circles on the plot and coloring accoding to the angle; this is superposing a visualization of the cylindrical coordinate system.

In[25]:=

Out[25]=

Here we write a function to calculate the curvature of f(x,y) as a function of x and y. We will use this to draw lines of constant curvature.

In[26]:=

This is a moderately advanced application---here I define a function symbolically by evaluating the curvature function, this will be passed to Plot3D as the MeshFunction.

In[27]:=

Out[27]=

Created by Wolfram Mathematica 6.0 (28 September 2007) |