Logic Masters Deutschland e.V.

Duet (Overlapping Tetrominous Loop)

(Eingestellt am 28. Juni 2024, 22:34 Uhr von the_cogito)

It's been a while! Hoping I'm really back, but I never seem to know when inspiration will strike haha. I recently solved Serpentagram by Microstudy and thought it might be fun to try a variation on that idea that wasn't quite so evil haha. I'm pretty happy with what I came up with, I hope you like it!

Rules:
  • Tetrominous (Overlapping): Divide the grid such that each cell belongs to one or two tetrominoes (i.e. overlapping). Tetrominoes of the same shape, regardless of rotation or reflection, cannot overlap and cannot be orthogonally adjacent to each other. A cell with a letter indicates that it belongs to the tetromino of the corresponding shape, but can belong to an additional tetromino.
  • Loop: Draw a closed loop that travels orthogonally through the grid. The loop may not touch itself orthogonally, but may touch itself diagonally. The loop is entirely comprised of every cell that belongs to two tetrominoes.
Here's a small(ish) example puzzle I set to demonstrate the rules in action:

And here's some links to solve the example puzzle:
Solve on Penpa (NOT recommended, but includes answer check for the loop only)
Solve on zzw's version of Penpa that allows for multicoloring (Includes answer check for the loop only)
Solve on Sudokupad (No answer check)

And now the real thing:
Solve on Penpa (NOT recommended, but includes answer check for the loop only)
Solve on zzw's version of Penpa that allows for multicoloring (Includes answer check for the loop only)
Solve on Sudokupad (No answer check)

The five standard tetrominoes, ignoring rotation and reflections:

Lösungscode: Row 10, from left to right: The corresponding letter of each tetromino. If there are two tetrominoes in the same cell, input them both in alphabetical order.


Gelöst von fjam, Christounet, Bellsita, tuturitu, Chefofdeath, Paletron, Piatato, matzer95, DarthParadox, Agent, Myxo, Samish, dumediat
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Kommentare

am 2. Oktober 2024, 23:08 Uhr von dumediat
A fantastic introduction to LITSO! Kidding aside, this solved very smoothly once I wrapped my head around how things worked. The interactions between the tetrominoes and loop was very satisfying, thank you for sharing this! :D

am 2. Oktober 2024, 17:05 Uhr von Samish
Amazing ruleset and great flow! Thanks

am 10. August 2024, 21:20 Uhr von Myxo
Beautiful! :)

am 30. Juni 2024, 11:31 Uhr von Piatato
Very nice stepping stone - quite demonic but not insane :D

am 29. Juni 2024, 22:58 Uhr von Chefofdeath
Very nice puzzle! It took quite a bit to get used to the dual coloring and how to notate things as I went, but once I figured out a system it felt semi-intuitive. Every step felt so beautiful. Thanks for sharing :)

am 28. Juni 2024, 22:44 Uhr von Christounet
Awesome take on Microstudy's idea, with some new logic and a couple harder but very interesting steps. Thanks :)

For future solvers, I'll share my notation which I think avoided some difficult scanning in a very colorful grid. For the remaining possibilities of key cells, I used digits pencilmarks corresponding to each pentomino : LITSO = 12340

Schwierigkeit:4
Bewertung:100 %
Gelöst:13 mal
Beobachtet:3 mal
ID:000IPH

Tetrominos

Lösung abgeben

Lösungscode:

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