Here is another approach using a 3D contourplot in Mathcad 15.
Guess you could change the colors using a custom color map.
For me if one object has x & y - it is 2D-object.
If has x, y & z - it is 3D
One picture from Thermal Engineering studies with Excel, Mathcad and Internet
What you show are two pictures.
Both are projections, 2D-representations, of a 3D-object.
You may either call both a 3D-plot or none of them.
In both there is information missing which you would need to reconstruct the original 3D object. You would need at least two pictures belonging together (like the orthogonal parallel view above and from the front) to be able to reconstruct the object OR some additional information. You can provide that additional information much more easier with the contour plot by numbering the contour lines. That way you could easily reconstruct the original surface with a certain degree of accuracy (we can't provide all contour lines). So the contour plot is closer to the original 3D object than the surface plot, even if the latter is more pleasing and appealing to the layman's eye.
Simple brute force surface filling. Can be improved a lot, but is very effective. Topology is hard, so, following examples have not holes. Also, can extract the border (asking for abs(XY) < TOL or something else better). This is some sort of equivalent of differentiate functions. The notations is similar to: dR = Border(R). Well, partial d, can't found greeks here. ORIGIN =1.
Best regards.
PD: Can't type this in Prime, sorry.
AlvaroDíaz wrote:
Ok. But in my country we don't celebrate with that.
In Russia we have this day each day of year
Valery Ochkov wrote:
AlvaroDíaz wrote:
Ok. But in my country we don't celebrate with that.
In Russia we have this day each day of year
How about combining the Russian and Mexican traditions in a Technologically Terrible way and constructing a Death Star in orbit?
Stuart
VladimirN. wrote:
Stuart,
An article "Industrial Pumpkin Carving" in the help: Industrial Pumpkin Carving with Mathematica—Wolfram Blog
Surely, Vladimir, this is the ideal PTC project - a Mathcad-derived, Creo 3D drawing set driving a CNC machine to carve out a pumpkin and then attach a 3D-printed set of LED candles, controlled by an Arduino (or Raspberry Pi, as we're on a food theme) linked to a sound card that utters scary things (like "We're withdrawing Mathcad 15 and invalidating all its licences tonight! 
")?
Stuart
AlvaroDíaz wrote:
No, thanks Stuart. One thing is draw a calabaza with some few holes in 2D placed somewhere, with a ten lines code procedure. But draw your kill monster with this strange symmetry that is not a symmetry, is too much. Certainly, I'm uruguayan, living in México, that's true. I say. Just in case. Just in case that you want some tequila. Maybe caña, or wine. And nothing of real calabacitas. Those, virtuals only.
Hmmph. Spoilsport. 
Stuart
