Spaghettification (11x11 deconstructed + fillomino)
(Published yesterday, 11:24 by Dr Logic)
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This is the third in a series of puzzles featuring this ruleset, play the others here:
- Supermassive Black Holes (I)
- Black Holes and Revelations (II)
Thank you to Sanabas for extensive testing, along with helpful insight and suggestions (and putting up with the many revisions). Play their awesome puzzles here: Sanabas
Let me know what you thought of this puzzle in the comments!
Happy solving!
Dr Logic
Rules:
- Deconstruction: Place nine non-overlapping 3×3 boxes in the grid. Fill every cell in a box with a digit from 1 to 9 so that no digit repeats within any box, row or column. Digits in boxes are called sudoku digits.
- Fillomino: Every cell outside the boxes is filled according to Fillomino rules. Divide these cells into orthogonally connected regions, called polyominoes, and fill each cell with a digit (1-9) equal to the size of its region. No two regions of the same size may share an edge. Digits outside the boxes are called Fillomino digits.
- Black holes: Place five black holes in the grid. Each black hole is a 3×3 square whose centre cell is the singularity and whose eight surrounding cells form the accretion disk. Black holes may not overlap or touch orthogonally, and no two singularities may share a row or column.
- Each singularity must be strictly greater than every sudoku digit and greater than or equal to every fillomino digit in its accretion disk.
- Accretion disk lines: Each accretion disk carries exactly one of the following line types, and each type is used by exactly one disk: Region Sum, Renban, German Whispers, Parity, Thermometer. Only sudoku digits on a disk are subject to its line rule. Fillomino digits are ignored. The Region Sum line must pass through more than one box.
- Black clues: A black clue outside the grid gives two values for its row or column, in either order: the sum of the fillomino digits on accretion disks along the arrow, and the sum of the sudoku digits on accretion disks along the arrow.
- White dwarfs: A white dot between two cells means their digits are consecutive.
- Red dwarfs: A red dot between two cells means their digits are in a 1:2 ratio.
- Moons: A digit in a grey circle is a sudoku digit. It must be low (1-4) if the cell is not on an accretion disk, and high (5-9) if it is. No moon may be on a singularity, and no fillomino digit may be on a moon.
- Arrows: The digits along an arrow must sum to the digit in the attached circle.
- Red clues: A red clue outside the grid gives the number of distinct fillomino digits in its row or column along the arrow.
- Region Sum: 3×3 box borders divide the line into segments, and every segment has the same digit sum.
- Renban: the digits on the line form a set of consecutive digits, in any order, with no repeats.
- German Whispers: any two adjacent digits on the line differ by at least 5.
- Parity: any two adjacent digits on the line have different parity.
- Thermometer: digits strictly increase from the bulb along the line. Bulb placement is to be determined by the solver.
Standard constraint rules:
If you've solved this and are up for a more mathematical puzzle, here is an older one that is unrated: The Modfather (4*)
Solution code: Row 5 of the finished grid, with # before every fillomino digit and ~ before every black hole digit. eg: #8#8#8#8#8#8#8#8~1~2~3
Last changed on yesterday, 11:26
Solved by sanabas
Comments
today, 03:01 by sanabas
This is fun. Not easy, but far less intimidating than it looks. I recommend trying it.
