Abstract Art
(Published on 30. November 2023, 02:23 by marty_sears)
This is my entry for Zetamath's 'sudoku with a twist' setting challenge, where the task is to create a puzzle where normal sudoku rules almost apply.
RULES:
- Divide the grid into eight non-overlapping 2x4 regions, which can each be placed either horizontally or vertically.
- It must be determined which one of the digits 1-9 is missing from the grid. The other eight digits should each appear once in every row, column and region.
- RENBAN (pink) - digits along the pink line form a non-repeating consecutive set, which can appear in any order.
- NABNER (yellow) - no two digits on the yellow line may be consecutive (or the same.)
- REGION SUM (blue) - on the blue line, digits in each region have the same total.
- GERMAN WHISPER (green) - adjacent digits on the green line must have a difference of at least 5.
- PARITY (red) - digits on the red line must alternate between odd and even.
- PALINDROME (grey) - the string of digits on the grey line reads the same in either direction.
- SAME DIFFERENCE (turquoise) - each pair of adjacent digits on a turquoise line has the same difference. This difference value can be different for different turquoise lines.
- KROPKI - two digits connected by a black dot have a 2:1 ratio (one is double the other.)
LINE TYPES:
Click here to play on the CTC app
Click here to play the colourblind-friendly version
Please leave a comment if you enjoy :)
Solution code: Column 1 reading downwards
Comments
on 17. December 2023, 18:39 by Nicholas Roberts
Fantastic puzzle. Nice interplay between lines and regions. Thanks for publishing it.
on 12. December 2023, 02:36 by Silverstep
oh yeah this one's insane. superglued a smile on my face. gg, looking forward to seeing this on stream
thanks Fool on Hill for recommending this
on 5. December 2023, 08:02 by davidxxy
Really love the idea of 2*4 regions.
on 5. December 2023, 05:53 by Ratfinkz
Holy moly. Bleeding Eck. Cor Blimey. Oh my goodness gracious me!
This was a real journey, but wow was it absolutely stunning.
8 and a half hours, over several days later I'm proud to say I DID IT!
Marty, you are the absolute best at taking the reader on a journey....drip feeding them just enough to Keep them going, and producing several "woah" moments in every single puzzle you create.
This puzzle brought me moments of joy, frustration, amazement, "I give up- no I dont" "broken it again" "ah-ha" "oh I wonder...no....YES" and pride!
I was both overjoyed and gutted to place the last digit and realise first "I've done it! And then oh no, it's over"
Thank you and well done my friend!
on 2. December 2023, 03:10 by ViKingPrime
It does indeed help to think in the abstract on this one. Great puzzle.
on 1. December 2023, 21:54 by marcmees
Amazing how all the pieces fall together. Very nice. thanks
on 30. November 2023, 21:39 by mathpesto
Wow! The interactions here were brilliant. A real thinker :)
on 30. November 2023, 20:16 by RJBlarmo
Very nice mid-solve logic :)
on 30. November 2023, 14:41 by Fool on Hill
This solves beautifully - botched my first attempt. Motto: if you are fighting it, you haven't understood it yet.
on 30. November 2023, 11:36 by ThePedallingPianist
Yet another awesome example of your fantastic creativity when it comes to these colourful lines! I think I know which lines SnookerFan is referring to... beautiful stuff indeed!
on 30. November 2023, 11:11 by Snookerfan
Very nice! I loved the way how especially two lines interacted, you know which after you solved this. Thank you
