Logic Masters Deutschland e.V.

Hello!

This is my very first puzzle.

I came up with a variant that I have never seen before, so I figured I should set a Sudoku myself with that variant to see how well it works. I am definitely not the best setter, but I think the rule has potential, especially if wielded by someone more experienced.

Try it out and tell me what you think.

Maybe it's not a new variant, and I just don't know the proper name for it?

Rules

• Normal Sudoku rules apply.
• Diagonal: Digits on the marked diagonal do not repeat.
• Killer Cages: Digits in cages sum to the number in the top left of the cage. Digits may not repeat in a cage.
• Thermometers: Digits on gray thermometers increase from the bulb to the tip.
• Angle Sum: Green angle sum cells have an angle in the top left corner, and a sum in the bottom right. Draw a line from an orthogonally connected puzzle bound to the Angle Sum cell, then rotate that input angle (cw or ccw) by the amount displayed in the top left, and continue to draw a line until you hit another puzzle bound. Digits along this line must sum to the number in the bottom right. There is only one correct rotation.

Puzzle

Play on SudokuPad!

Play on SudokuPad!

Further explanation of Angle Sum rule

Consider Figure 1 in the graph below. R2C3, R2C4, and R4C3, R4C4 cannot be disambiguated without the Angle Sum constraint. The rotation of the Angle Sum cell is 45 degrees, and the sum must be 13. In Figure 2, we attempt to start from the left bound of the puzzle, but no matter if we rotate clockwise or counterclockwise, we cannot get to the sum of 13 if we add up the digits. This is therefore not the correct angle.

We try the same thing, this time from the top, in Figure 3. Here, there is a way of accumulating a sum of 13, but only if R2C3 is 3. Checking from the right bound and bottom bound, we can see that the green arrow in Figure 3 is actually the only way we can get to the sum of 13. Therefore, R2C3 must be 3. The puzzle can now be completed.