Logic Masters Deutschland e.V.

Hi everyone! I wanted to make a sudoku puzzle which relates to a math theorem called the Triangle Inequality. It states that a triangle with side lengths {x,y,z} can be formed if and only if x+y>z, y+z>x, and z+x>y. Thanks to Kyunitar, SennyK, Cassinii, and many others for testing. I hope you enjoy the puzzle!

Normal sudoku rules apply.

TRIANGLE INEQUALITY LINES: all digits are distinct on a red line. Furthermore, any three distinct digits {x,y,z} on a red line satisfy the Triangle Inequality: x+y>z, y+z>x, and z+x>y.

GERMAN WHISPER LINES: adjacent digits on a green line have a difference of at least 5.

INEQUALITY SIGNS: an inequality sign points to the smaller of the two digits it sits between.

DYNAMIC FOG: entering a correct digit clears fog in its cell, and may or may not clear fog in other cells.

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