1] Mirror Sudoku:
R(m)C(n) = R(9-m)C(9-n) for all 4 corner boxes. In short box 1&9 and box 3&7 will have digits so that they form mirror image. (eg: R3C2 & R6C7 will have same digits)

is it "9" or "10" ? R(m)C(n)=R(10-m)C(10-n)

2] Repeatable Extra Region:
There are two extra regions of 9 cells each but digits can repeat in those regions. Both the regions contains same set of numbers, same number of times.
eg: If one region contains 1,1,2,3,4,4,5,7,9 then the other region will also contain same numbers 1,1,2,3,4,4,5,7,9

all numbers should be in the same order, right?

1] It is "10". Gaurav had already corrected it, but not in his first post.

2] Not necessarily in the same order. Both regions just need to contain the same set of numbers.

Edited by Ours brun 2010-03-08 4:39 PM

Check Diagonally Nonconsecutive Sudoku at http://janoslaw.blogspot.com/2010/05/diagonally-nonconsecutive.html