Place the numbers 1 to 9 once in each row, column, long diagonal (marked with a heavy dot) and every 3x3 grid.
The 'cage' inclusions (individually coloured regions) indicate the sum or the product of the numbers in those cells.
Unlike Killer Sudoku, the same number may appear more than once in a cage. So, 36x in a cage which overlaps the 3x3 grids may contain two 6s and a 1.
My inspiration for this puzzle came from a variety of puzzles posted by Pete and Will at http://sudexel.com/forum/index.php
My thanks goes to brianjn for his hard work in producing the graphic.