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Missing Deck puzzles

Missing Deck puzzlesMissing Deck puzzlesMissing Deck puzzles
  • Home
  • Points of Pride
    • Video Features
    • Showcase Puzzles
    • Comments on Our Puzzles
    • Ducklings
    • Duckling Features
  • By Difficulty
    • Brassica Collection
    • GAS Collection 1
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  • Complete Archive
    • November 2022
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August 2022

Cross About Dominoes

We set this puzzle to highlight a particular mathematical property and stunning pattern that emerges from a simple constraint. It was featured on Cracking the Cryptic as A Modular Miracle on 31 August 2022. It also appears in our Indigestion Collection 2 and our Showcase Puzzles.


Estimated difficulty: 3.5/5


Rules

Normal sudoku rules apply: every row, column, and 3x3 box must include a complete set of the digits 1-9.


Killer cages: digits within cages marked by dashed lines must sum to the number shown in the upper left corner of the cage.


Every diagonal of length 7, 8, or 9 is either modular or unimodular. On modular lines, every set of three sequential digits contains one digit from {147}, one from {258}, and one from {369}. On unimodular lines, all digits are from the same class (all from {147} or all from {258} or all from {369}).


Solve in the SudokuPad app

Starburst

A harder version of Box Twist, Starburst first appeared in the Caging Constraints puzzle pack by BremSter. Starburst also appears in our Indigestion Collection 2.


Estimated difficulty: 3/5


Rules

Normal sudoku rules apply: every row, column, and box must contain a complete set of the digits 1-9.


Normal killer sudoku rules apply: digits inside a cage marked by dashed lines cannot repeat and must sum to the number shown in the upper left corner.


Modular lines: every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits may repeat on a line if allowed by other rules.


Solve in the SudokuPad app

Box Twist

This puzzle serves as a gentle introduction to how the modular lines and killer cage logic interact.  It originally appeared as "Full o'Beans, Missing Broccoli"  in the Caging Constraints puzzle pack by BremSter. This puzzle also appears in the GAS Collection. 


Estimated difficulty: 1.5/5


Rules

Normal sudoku rules apply: every row, column, and box must contain a complete set of the digits 1-9.


Normal killer sudoku rules apply: digits inside a cage marked by dashed lines cannot repeat and must sum to the number shown in the upper left corner.


Modular lines: every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits may repeat on a line if allowed by other rules.


Solve in the SudokuPad app

Kill Dis!

This puzzle was set for, and initially appeared in, the Caging Constraints puzzle pack curated by BremSter. You can find the entire puzzle pack here.


Estimated difficulty: 2.5/5


Rules

Normal sudoku rules apply: every row, column, and box must contain a complete set of the digits 1-9.


Normal killer sudoku rules apply: digits inside a cage marked by dashed lines cannot repeat and must sum to the number shown in the upper left corner.


Normal disjoint groups rules apply: digits in the same relative position within different 3x3 boxes must be different.


Solve in the SudokuPad app

An Easy Day's Knight

Our first puzzle of August 2022! We are very happy to have had this puzzle featured on two different channels: by BremSter on 7 October 2022 and by Sudoku Sauce on 9 October 2022.


Estimated difficulty: 1.5/5


Rules

Normal sudoku rules apply: every row, column, and box must contain a complete set of the digits 1-9.


Anti-knight constraint: Cells a chess knight's move apart cannot contain the same digit.


Solve in the CTC app

Watch a solve of this puzzle by BremSter

Watch a solve of this puzzle by Sudoku Sauce

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