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I have a new BLTouch that is setup (using Marlin 1.8.7) but I want to increase the probing grid from a 3x3 to something like a 5x5. I am using bilinear leveling with a 3x3 grid.

How would I go about changing that?

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You need to change the constant value(s) in your Configuration.h file of your Marlin version from:

// Set the number of grid points per dimension.
  #define GRID_MAX_POINTS_X 3
  #define GRID_MAX_POINTS_Y GRID_MAX_POINTS_X

to:

// Set the number of grid points per dimension.
  #define GRID_MAX_POINTS_X 5
  #define GRID_MAX_POINTS_Y GRID_MAX_POINTS_X

This shows that to go from a 3x3 grid to a 5x5 grid you only need to change one value. Do note that you can set GRID_MAX_POINTS_Y to any value other than GRID_MAX_POINTS_X; replacing GRID_MAX_POINTS_X in the line with GRID_MAX_POINTS_Y to 4 would yield a 5x4 probe grid:

// Set the number of grid points per dimension.
  #define GRID_MAX_POINTS_X 5
  #define GRID_MAX_POINTS_Y 4
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