Logic Masters Deutschland e.V.

The Golden Pi Ratio

(Published on 26. January 2026, 20:56 by Manta-Ray)

Normal 6x6 sudoku rules apply.

Kropki: Cells separated by a white dot contain consecutive digits. Cells separated by a black dot contain digits where one is double the other.

Pi-Line: Hollow golden lines are separated into segments by golden dots. Each segment (when 'read' as a multi-digit number) is in a ratio of between 3 and 3.2 (inclusive) with all adjacent segments on its line. All segments are 'read' in the same direction along the line.

For example, 6-5-4-*-2-1-3 would be a valid line, as 654/213 = 3.07. However, 6-5-4-*-3-1-2 would not be a valid line, as 654/312 = 2.10.

Digits may repeat on a line if allowed by other rules.

Solve on SudokuPad

Solution code: Row 1 (read left to right)

Last changed on on 27. January 2026, 23:53

Solved by aqjhs, ThePedallingPianist, miranda_9, Zibl, Scojo, SKORP17, Sneppix, SennyK, y00j1n, QuiltyAsCharged, darkgently
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Comments

on 2. February 2026, 22:10 by darkgently
Wow, brilliant. No idea how you came up with this - feels like a discovery!

on 27. January 2026, 09:14 by SennyK
It's amazing you were able to find something as beautiful as this. Thank you for setting!

on 26. January 2026, 21:50 by Manta-Ray
Updated difficulty

on 26. January 2026, 21:09 by ThePedallingPianist
At the risk of sounding too much like a CTC video title, I think this might be my favourite puzzle of the year!

on 26. January 2026, 21:06 by aqjhs
inequalities on rational numbers may seem scary, but this was lovely.

Difficulty:3
Rating:95 %
Solved:11 times
Observed:0 times
ID:000R6M

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Solution code:

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