Missing Dots

I've always wanted to create a puzzle that makes heavy use of negative constraints. Let me know what you think of this puzzle. It might be an acquired taste.

Ordinary Sudoku Rules Apply. Additionally:

1. Cells that appear in the same position relative to their box form a set of the digits 1 through 9 (Disjoint Groups)

2. The digits 1 through 9 appear on each diagonal exactly once each

3. Digits separated by a black dot have a ratio of 1 to 2

4. Digits separated by a white dot are consecutive

All such dots are given!

That's it! Enjoy! :) You can play it here.