Multi-Dimensional Array to Single-Dimensional Index math help

Since we cannot serialize multi-dimensional arrays we are limited to using one dimensional arrays along with math to convert from x,y pairs to an index and back out. Here are the current conversion algorithms:

Code (CSharp):

1. int Width = 3; // Number of cells along the x axis
2. int Height = 3; // Number of cells along the y axis
3.  
4. GameObject[] Cells = new GameObject[ Width * Height ];
5.  
6. public int CalculateIndex( int x, int y )
7. {
8.     return y * Width + x;
9. }
10.  
11. public void CalculateXY(int i, out x, out y)
12. {
13.     x = i % Width;
14.     y = i / Width;
15. }

Now, I have the problem where I need to create a 3 dimensional grid which introduces Depth as well as the z axis but I can't figure out how to inject the changes into the methods above... I'm having a mental block. Please help me on my endeavor.

-jv

 

As found here: http://stackoverflow.com/questions/7367770/how-to-flatten-or-index-3d-array-in-1d-array

x + WIDTH * (y + DEPTH * z)