Plus Advent Calendar Door #11: Cross Hyperlogikion!

Lately we've been featuring a range of Sudoku-esque puzzles kindly provided by Muddled Puzzles. The puzzles owe their origin to Sudoku and go by the umbrella brand name Sudokion. Here is our latest addition: the Cross HyperLogikion. It's a challenging and beautiful specialty puzzle, only available in the Platinum (highest) challenge band. For more (and also less challenging) Sudokion puzzles, see our Sudokion page.

To see the rules of Cross HyperLogikion click on the "i" icon below.

Have fun!

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I can't even get one number here. This is hard. Any hints?