Duet (Overlapping Tetrominous Loop)
(Published on 28. June 2024, 22:34 by the_cogito)
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.
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 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:
Solution code: 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.
Comments
on 2. October 2024, 23:08 by 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
on 2. October 2024, 17:05 by Samish
Amazing ruleset and great flow! Thanks
on 10. August 2024, 21:20 by Myxo
Beautiful! :)
on 30. June 2024, 11:31 by Piatato
Very nice stepping stone - quite demonic but not insane :D
on 29. June 2024, 22:58 by 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 :)
on 28. June 2024, 22:44 by 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
