Logic Masters Deutschland e.V.

Hidden Necklace

(Published on 5. June 2023, 16:00 by Blobz)

Normal sudoku rules apply.

Cells marked with grey circles contain odd digits. Cells marked with grey squares contain even digits.

Shade some cells such that the resulting pattern is 90-degree rotationally symmetric. For example, if r1c4 is shaded, then so are r4c9, r9c6, and r6c1.

The unshaded region must contain one each of the twelve standard pentominoes (no repeats by rotation or reflection). All unshaded cells belong to a pentomino.

Each pentomino encloses exactly one grey square, one grey circle, and one caged cell.

The arrangement of pentominoes must be deduced.

A single green line loops through all twelve pentominoes (some of it is shown). It passes through exactly 2 cells of a pentomino before visiting the next. The line does not enter any cell containing a cage or a grey circle. Adjacent digits along the green line differ by at least 5.

Each pentomino behaves like a 5-cell killer cage: digits do not repeat and must sum to the value shown in the corner of the caged cell (if given).

Have fun, leave a comment if you enjoy the puzzle!

Play this puzzle on SudokuPad

Pentomino Puzzle Series

Solution code: Row 5 followed by Column 5

Last changed on on 1. April 2024, 22:18

Solved by redgecko, Mr_tn, Mr.CHEN, ozgaz, Mouski, rictech, halftime, LehanLehan, Banana, AvonD, mcc, fstilus, flyjim, yangduoxing, freelimousinex, DiMono, fca.felix.sudoku, zhantyzgz, LibardiA, KyleBaran, ... martin1456, renmou3355529, trashghost, rich_27, misko, starelev5, Euphorion, atomvic, artisan87, OuyangZheng, SudokuHero, OnOffL, kelly, MaxSmartable, scottgarner, NEWS, sockerbecca, mluciano98
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Comments

Last changed on 5. July 2023, 17:36

on 5. July 2023, 17:36 by KyleBaran
Another fantastic pentomino puzzle!
My only criticism is that having to draw the whispers line leaves the grid looking rather busy, but I suppose that cant be helped

on 29. June 2023, 19:20 by Blobz
Clarified description of unshaded cells.

on 6. June 2023, 10:16 by LehanLehan
Thank you very much for your puzzles. Somehow I haven't used 26 k-cage clue.

on 6. June 2023, 04:51 by halftime
Beautiful! Each step flowed nicely into the next. Thank you for sharing!

on 6. June 2023, 04:05 by rictech
What a journey! Loved every minute of this; it was like 3 separate puzzles all coming together beautifully. Amazingly constructed, and not out of reach for the somewhat casual folks like myself. Thanks for this!

on 6. June 2023, 01:19 by Mouski
What a beautiful puzzle. So elegant.

on 6. June 2023, 01:00 by ozgaz
very enjoyable - a nice combination of constraints and an easy flow. thanks for publishing.

Difficulty:3
Rating:93 %
Solved:45 times
Observed:8 times
ID:000C78

Variant combination Online solving tool Pentominoes

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Solution code:

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