Crab Net (with Math Pesto)
(Published on 29. October 2024, 11:42 by Paletron)
This puzzle was created in collaboration with Math Pesto for a setting event held by mnasti2 in Sudoku Skunkworks. We made this puzzle by combining some aspects of RemotelyEntropic by Palfly Kampling
and Crab Walk by juggler.
Rules:
Puzzle:
Rules:
- Fillomino: Divide the grid into polyominoes so that polyominoes of the same size don't share an edge. Each cell contains a number equal to its polyomino's size.
- Entropic Loop: Draw an orthogonal loop through the grid. The loop must not touch itself orthogonally; however, it can touch diagonally. On the line, any set of three consecutive cells must contain one low (1,2,3), one middle (4,5,6), and one high (7,8,9) digit.
- Crab: A number N on a crab means it is about to take N steps sideways, landing in a cell on the loop or inside the loop, with a number less than or equal to N. Crab paths do not intersect. Crabs can move on/inside the loop, but once they are on/inside, they can’t exit the loop. (In other words, all crabs get caught by the loop and they can't escape it)
-
Here is a small example of a possible grid to showcase our recommended notation and some rule clarification.
Crab in r2c1 moves onto a cell inside/on the loop, with a number less than or equal to itself, and it can't move any farther right because it would exit the loop.
- Solve in CTC app
Solve in penpa+ (crabs replaced with arrows)
Solution code: Numbers on the loop in Row 4
Solved by Agent, The Book Wyrm, Calesch, Bellsita, goodcity, mnasti2, dogfarts, tuturitu, SXH, nottabird, NEWS, jkuo7, h5663454, OGRussHood, HertogHJ, itweb, jmw, jinkela114514, Mr_tn, Christounet, ONeill, TheZwierz, SKORP17, widjo, Uhu, Sewerin, ns08, sth, zhangjinyang
Comments
on 11. November 2024, 22:49 by karlmortenlunna
CTC-link with arrows if anyone wants that: https://sudokupad.app/az3chy1iuj?setting-conflictchecker=0
on 10. November 2024, 23:33 by karlmortenlunna
CTC-link with arrows if anyone wants that: https://sudokupad.app/az3chy1iuj?setting-conflictchecker=0
on 4. November 2024, 20:26 by Christounet
Fun and a bit tricky in some areas. Thanks to both of you :)
on 29. October 2024, 21:01 by mnasti2
Fun one, very clever combo!
on 29. October 2024, 12:02 by Agent
Awesome puzzle, the inspirations were combined brilliantly with some beautiful interactions! I found it tricky but very smooth once you understand the implications of the ruleset.
