### Fillomino (Cipher) by Tim Marsden

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 4th puzzle from guest contributor Tim Marsden. [Update: this puzzle is the 13th puzzle from guest contributor Dan Katz and is part of a set connected to the 2019 Mystery Hunt.]

Rules: Standard Fillomino rules. Also, each letter represents a different positive integer.

Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Enter just the last digit for any two-digit number. Start with the 5th row, followed by a comma, followed by the 8th row.

Time Standards (highlight to view): Grandmaster = 3:30, Master = 7:45, Expert = 15:30

Solution: PDF

Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on. More Fillomino puzzles can be found in The Art of Puzzles, in Fill o’ Fillomino and Fill o’ Fillomino 2 by Grant Fikes, and in our beginner-friendly book Logic Puzzles 101.

• Nikolai says:

This is a beautiful puzzle, both the looks and the logic! The central idea is very sweet, and the solving path is a delight. Thank you!

• Freddie Hand says:

Agreed, main idea of the puzzle is pretty nice. Mostly rather simple after that, but it is always satisfying to fill in a grid.

• skynet says:

Remarkable puzzle.Logic was so satisfying to find.

• Poony Sew says:

I know that ng yrnfg bar bs gur yrggre sebz gur gbc unf gb pbaarpg gb gur obggbz bar. But I don’t know what to do with it…

• drsudoku says:

Nabgure guvat gb abgvpr vf gung, vs gur inyhrf bs gur yrggref ner nyy qvssrerag naq bayl bar pna ernpu npebff gur tevq, ubj qb gurl fhz hc gb n uhaqerq pryyf? gjb gvzrf zbfg yrggref + bar gvzrf bar yrggre vf snveyl yvzvgrq.

• Poony Sew says:

How do I know that gurer pna or bayl bar yrggre pbaarpg npebff gur tevq? Am I missing something?

• drsudoku says:

Gurer vf onfvpnyyl abg rabhtu fcnpr jura lbh gel gb qbhoyr gur pebffvatf. Vs lbh jnag gb pbapyhfviryl fubj gung erfhyg, fybjyl ryvzvangr yrggref onfrq bss gur pbafgenvag bs gur znkvzhz fvmr bs gjb pebffvat ertvbaf guebhtu gur pragre (vs nyy bgure ertvbaf ner gurer gjvpr) vf 28 jvgu 18 n znk fvmr.

NVGH pnaabg pebff gur zvqqyr.
O pnaabg pebff va yrff guna 18 pryyf naq oybpxf bss rirelguvat vs vg qbrf.
F pnaabg pebff (naq gbhpu nyy vgf pyhrf) va yrff guna 20 pryyf naq fgvyy nccrne bayl bapr va gur tevq.
A pnaabg pebff jvgu nal bgure yrggre naq fgvyy nccrne bayl bapr va gur tevq.

Fb gur bayl qbhoyr pebffvatf jbhyq vaibyir PQE ohg P naq Q pnaabg pebff gbtrgure. Fb E vf nyjnlf n pebffvat.

Abj lbh arrq gb fubj jvgu E pebffvat ubj P/Q znl be znl abg jbex. Gur F naq A yrggref ba gur yrsg ner 9 naq 8 pryyf ncneg fb rvgure gurl pbaarpg be gurfr yrggref ner rkgen vafgnaprf bs pyhrf. Vs F vf 9 vg oybpxf gur P naq Q pebffvatf. Fb gurer ner ~5 F’f. VS A vf 8, vg nyfb oybpxf gur P/Q pebffvatf. Fb gurer ner 4 A’f. Ohg abgr gung rvgure O be V vf 1 be 2. Fb gur rkgen F naq A’f jbhyq gnxr n zvavzhz bs 3k1+2k3 rkgen pryyf sebz gur ninvynoyr pbhag hfvat bar cyhf gjb cyhf guerr … cyhf avar rdhnyf sbegl-svir gjvpr pbafgenvag vqrn. Fb abj gur ynetrfg n frpbaq pebffvat pna or vf yrff guna gra pryyf (18-9) naq gurer vf abg rabhtu fcnpr sbe gjb pebffvatf.

Gurer znl or nabgure fvzcyre tybony pbafgenvag gb frr urer, ohg gur 28 pryy yvzvg vf jung V hfrq.

• Poony Sew says:

I can’t believe how easy this puzzle is after the central idea is fully explored. Thanks for the hint. It is such a unique and beautiful cipher fillomino!

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