Plotting boxes in 3D

[ClaudioPedrazzi]

Hi everyone!

I am trying to find a better solution (working for many more "boxes") for the problem exemplified in the attachment. I have a list of "boxes", defined in a matrix of X,Y,Z coordinates.  I would like to get a 3D representation of the boxes. What I have attached works, of course, but it would be much better if one could represent the "walls" of the boxes, without all the points inside.  Is this too much for MathCAD?  what do you think?

Thanks a lot for any hints!

Regards

Claudio

[Werner_E]

I guess you would have to dig into

https://community.ptc.com/t5/PTC-Mathcad-Questions/Creating-Amazing-Images-with-Mathcad-14/td-p/441375

Still the bible when it comes to plotting in Mathcad

[ClaudioPedrazzi]

Hey Werner, thanks!  I wasn't aware of this. The E-book is really the exe-file attached to the post? it is somehow an unusual format ... 

Regards 

Claudio

[Werner_E]

Distributing E-Books as self exctracting archives wasn't unusual at those times. The exe would extract the files in the (Mathcad 14, you would have to edit the path) handbook directory.

If you feel uncomfortable with an exe, here is the handbook unpacked and rezipped. You woul have to unzip it in the correct directory yourself.

An be prepared for some hardcore stuff 😉

[Werner_E]

You might also be interested in the article of uni (Viacheslav N. Mezentsev ) - see the last post in this thread:

https://community.ptc.com/t5/PTC-Mathcad-Questions/Ploting-finite-triangle-and-rectangle-in-3D-plot/td-p/327681

Its in russian but the pictures of the first few pages should give you a hint how to create a box.

[Werner_E]

Here is my first attempt using some data structure from the "amazing images".

Unfortunately it creates a separate plot for each box which may make you run into some limitation if you'd like to plot a lot of boxes (apart from having to set the appearance for each box in an extra step.

In the E-book there are routines which can make it just one single plot (if you have the time to dig into and experiment).

[Werner_E · Accepted solution]

Here is my second attempt. This time all boxes represent just one single plot, but the boxes are now connected by a line which is of course disturbing. Only way to get rid of this is to do without potting the wireframe lines.

But at least you won't run into some kind of limitations and don't have to go through the hassle of having to format the style of every box at its own. See here a sample plot with 100 random boxes:

[ClaudioPedrazzi]

I wish to thank you very much, Werner, both for making me aware of the "Amazing Images" E-Book (it works! 🙂 and for even programming the requested solution for me!  I certainly had required more time! I was still wondering at the book ... 

Regards and thanks a lot again

Claudio

[Werner_E]

---

@ClaudioPedrazzi wrote:

I wish to thank you very much, Werner, both for making me aware of the "Amazing Images" E-Book (it works! 🙂 and for even programming the requested solution for me!  I certainly had required more time! I was still wondering at the book ... 

Regards and thanks a lot again

Claudio

---

In this E-Book you sure will find a lot to wonder  about  - its not easy stuff.

I thought that it should be able to plot the boxes without any connection line between, but when I look now again at the "Amazing Images", chapter 3.9, example 6, second plot, I also see connection lines. So I guess its not possible to separate the boxes completely while retaining them all in one plot. Main problem is, that in 3D we can't use NaN's to separate different boxes as we could do in a 2D plot. We can use NaN's in 3D plots in Prime, but I sure would not propagate Prime to be used for 3D plots. After all, I wouldn't propagate to use Prime at all.