Logic Masters Deutschland e.V.

Tangram-ify!

(Published on 9. April 2024, 19:10 by SamuPiano)

This puzzle is inspired by two wonderful puzzles: juggler's Tangram Killer, and Florian Wortmann's Assembly.

Normal sudoku rules apply.

Digits cannot repeat in a cage drawn in the grid.

Draw six diagonal lines entirely through the grid. Digits may not repeat along any diagonal line drawn in the grid.

If a cage is "cut" by one or more diagonals, the cage becomes a set of tangram killer cages with borders on the original cage boundary as well as on the diagonal(s) splitting the cage. One or more of the tangram cages will evaluate to each total in the top left corner of the cage.

In a tangram cage, if a cell is half-contained in a cage, it contributes half its total to the cage sum. If a cell is a quarter-contained in a cage, it contributes one-quarter its total to the cage sum.

The X, X cage has at least two instances of the total X. X is the same number in all occurrences.

"Integer" represents any integer, and "Non-Int" represents any non-integer.

An example of a valid fill is given below.

In the example picture, the bottom tangram cage adds to 12 after being split by 2 diagonals: 4 gets quartered to 1, 8 is unchanged and 6 is halved to 3, adding to 12.

You can play the puzzle here:

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Happy solving! Leave a comment if you enjoyed this one, and check out some of my other puzzles!

Solution code: Column 8, read top to bottom.

Last changed on on 10. April 2024, 01:50

Solved by Garford, SKORP17, SudokuHero, nuzzopa, fajoogaloo, tonald, Dentones, emoney13, Al Fresco, Zandi, cornish-john, deltameth, 3good5you, widjo, Silverstep
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Comments

on 10. August 2024, 02:20 by 3good5you
Crazy puzzle, loved the interplay of the value modification and diagonals!

on 11. April 2024, 19:33 by emoney13
Fantastic puzzle! Absolutely wonderful

Last changed on 27. June 2024, 23:48

on 10. April 2024, 07:50 by fajoogaloo
I feel like [REDACTED] wins cell of the day. Brilliant puzzle! I really loved how all the lines were forced :)

on 10. April 2024, 01:50 by SamuPiano
Changed expected difficulty after feedback.

on 10. April 2024, 01:39 by SudokuHero
Never before have I felt so stupid and so smart at the same time. What an absolutely amazing puzzle.

Difficulty:5
Rating:84 %
Solved:15 times
Observed:6 times
ID:000HMX

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Solution code:

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