Adapt Function Examples

I have read the help file for Adapt, but I cannot
create a functn that works.  I believe this is because
I do not understand how to do this, and I have not
found any working examples posted in the help.  I have
recieved many different errors in my attempts.

Please post a simple but working use of the adapt
function in 2 dimensions other than the one in the
help(adapt) or explain it differently.  

Thank you