Mini-Colossal Octoquadri I: Loop 12
(Published on 20. March 2025, 02:53 by MaizeGator)
Mini-Colossal Octoquadri I: Loop 12
Made for zetamath's request for octoquadri puzzle packs. sfushidahardy and I have joined forces to each set a pencil puzzle octoquadri hybrid in the "colossal sudoku" format. He made a Mini-Colossal U-Bahn Octoquadri to complement this Mini-Colossal Loop 12 Octoquadri.
Rules:
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The left 12x12 grid is a standard Loop 12: Draw a single closed, unbranching, uncrossing loop. Arrow clues point at the longest line segment that touches the clue cell. If a cell is clued by an arrow(s), then all possible arrows are given for that cell (although not ALL arrows are necessarily given throughout the puzzle). Numerical clues indicate the longest line segment that touches the clue cell. (NB: "Touching" means that the line segment overlaps one of the cell borders).
- Octoquadri: The right 4x4 grid is an Octoquadri: Select 8 different digits from 1-9 and fill the grid such that each digit is used twice, without repeating in a row, column, or box.
- Colossal: Each individual cell in the Octoquadri corresponds to a 3x3 box of cells in the Loop 12 (mapping in standard reading order, e.g. R2C3 in the Octoquadri maps to R4-6C7-9). The number in the Octoquadri cell indicates how many cells are inside the Loop 12.
- The Octoquadri is also a valid Loop 12: Draw a single, closed, unbranching, uncrossing loop in the Octoquadri grid. Any 1s, 2s, 3s, and 4s (if present) are valid Loop 12 clues.
I hope you enjoy the puzzle!
Solution code: The number of cells outside the loop for every row in the Loop 12 (the big 12x12 grid only, top-to-bottom)
Last changed on on 20. March 2025, 03:13
Solved by sfushidahardy, kays, mathpesto, tuturitu, Christounet, Agent, nuzzopa, Grausbert, Mr_tn, widjo, SKORP17, LeiZ123321, Uhu, wpolly, jkuo7, Paletron, ns08, puzzler05
Comments
on 22. March 2025, 04:30 by Agent
Very cool puzzle, some lovely interactions in there!
on 20. March 2025, 23:04 by Christounet
Greatly improved version, enjoyed the novelties of the second part. Thanks :)
on 20. March 2025, 05:03 by mathpesto
Amazing how well everything comes together!
on 20. March 2025, 02:58 by sfushidahardy
Lots of really beautiful logic! Hope we'll see more mini-colossal octoquadris in the future