0

I have a set of 4 cuboids which are defined by 8 coordinates. The cuboids are grouped as follows (front view)

Front view of cuboids So, each of these cuboids has coordinates as shown in the table below: Coordinates Basically, I want to be able to catch the coordinates that are marked in yellow. These coordinates define the 'empty' space, defined by 8 points, that is being created within the 4 cuboids.

What I have done so far, which seems to work, is to:

  1. calculate the center point by taking the average off all X,Y and Z coordinates.
  2. calculate the deviation from each X,Y,Z to its average in absolute terms
  3. multiply those deviations for combination of X,Y,Z over X,Y,Z respectively ($\Delta_X*\Delta_Y*\Delta_Z$)

The 8 points with an identical outcome are the ones that are the closest to the center point and allow me to select the right coordinates. I don't fully understand though why this works and whether or not it will scale up to a shape which looks like this in front view: shape with 5 boxes

You can assume that all shapes are always adjacent to each other. Axis are defined as follows: Y | | .----- X / Z

user2329142
  • 1
  • For me, the significance of the first set of coordinates in the Excel table isn't clear 1) What is represented in "front view" is in (y,z) axis with $x$ (not represented) the depth ? 2) Are these coordinates the bottom left vertex coordinates of each rectangle/cuboid ? – Jean Marie Sep 18 '21 at 13:37
  • 1
    Actually, when trying to find the type of coordinate system I am using, I also found the solution to my issue. What I basically need is the Euclidean distance... – user2329142 Sep 18 '21 at 14:01

0 Answers0