Assembly (Tangram Killer)
(Published on 27. March 2024, 18:32 by Florian Wortmann)
This puzzle is inspired by juggler's Tangram Killer.
I was intrigued by the concept of cells only contributing half their value to killer cages, so I extended it to quarter contributions :-)
While the start is approachable to serve as an introduction to the rules, it gets more difficult in the mid-solve. Hope you enjoy!
Normal sudoku rules apply.
Digits in a cage add to the indicated sum.
Cells that half-appear in a cage only contribute half their value to its sum. Cells that quarter-appear in a cage only contribute a quarter of their value to its sum.
The cages in boxes 2/4/6/8 have integer sums that must be determined.
Digits appear at most once in the same cage, where half-appearing twice counts as appearing once.
Link:
SudokuPad
Solution code: row 9
Comments
on 1. April 2024, 01:04 by cristophermoore
Parity and halves and quarters, oh my! A great use of this ruleset, I'm sure there will be more...
on 31. March 2024, 04:10 by PuzzleDoubt
wow. I absolutely loved this puzzle. It is probably the longest it's taken me and I had a couple false starts with the math, but the creativity in the setting kept me pushing forward. Please keep exploring this variant.
on 29. March 2024, 15:37 by Florian Wortmann
Thanks everyone! Glad you liked this assembly :-)
on 29. March 2024, 13:46 by Franjo
Herrlicher Ausbau einer glänzenden Idee! Vielen Dank dafür.
on 29. March 2024, 12:46 by OGRussHood
Yep, you opened that can of tangram worms, Michael. Even with me overlooking Florian's additional quarter-cell rule for the first few minutes, I still completed this puzzle in under a half-hour.
on 28. March 2024, 19:53 by AryaSV
My first Tangram puzzle! Loved it :) Thank you for the beautiful puzzle
on 28. March 2024, 17:11 by farodin64
Thank you Florian for this wonderful puzzle. I've already done the puzzle from juggler and could not wait to see another tangram puzzle. So, this my tangram puzzle #2, I could not find a better one for my puzzle #2.000 ! :-)
on 28. March 2024, 13:16 by TheRiddler
Very nice puzzle!!!
on 28. March 2024, 00:39 by Florian Wortmann
link corrected
on 28. March 2024, 00:08 by Kversten
Just amazing!!!!
on 27. March 2024, 22:50 by goodcity
Lovely puzzle !
on 27. March 2024, 22:44 by yttrio
Beautiful extension of the Tangram killer rule set!
on 27. March 2024, 21:41 by sujoyku
Thank you for this wonderful Tangram killer puzzle, Florian Wortmann! In the beginning, I was a little afraid it could become too technical but that was never the case. The logic always felt intuitively approachable and the arrangement of the Tangram pieces is just beautiful. Impressive setting!
on 27. March 2024, 20:19 by Piatato
Super smooth, easy yet great fun! :)
on 27. March 2024, 18:40 by juggler
So glad to see someone do a tangram puzzle! Beautifully executed, very smooth solve.
The quarter cage idea is a great innovation; I'd initially thought it'd make the math too hard, but it's not bad once you wrap your head around it, and creates some really interesting logic.
--
Thanks again for testing and your help with assembling the grid :-)
