## Cube Sudo-Kurve

Last year, when I read an application file of Wayne Zhao to PRIMES, I got very excited because he liked puzzles. And I’ve always wanted to have a project about puzzles. After Wayne was accepted to PRIMES we started working together. Wayne chose to focus on a variation of Sudoku called Sudo-Kurve.

We chose a particular shape of Sudo-Kurve for this project, which ended up being very rewarding. It is called *Cube Sudo-Kurve*.
The Cube Sudo-Kurve consists of three square blocks. The
gray bent lines indicate how rows and columns continue. For
example, the
first row of the top left block becomes the last column of the middle
block and
continues to the first row of the bottom right block. As usual each row,
column, and square region has to have 9 distinct digits.

Wayne and I wrote a paper *Mathematics of a Sudo-Kurve*, which has been published at Recreational Mathematics Magazine.

A Cube Sudo-Kurve needs at least 8 clues to have a unique solution. Here we have a puzzle with 8 clues that we designed for our paper.

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