SNAP Mathfairs
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  • Guidelines
  • Organizing
    • Organizing & Preparing for the Fair
    • Choosing a Theme
    • Different Types of Displays
    • Some Typical Projects
    • Who to Invite
    • Optional Timelines
    • Math Fair Club
  • Grading
    • Assessment Checklist (Grade 7)
    • Evaluation Guidelines (Grade 9)
    • Rubric for a Math Fair (Grade 12)
    • Marking Guide (Grades 5 and 6)
    • Math Fair Club Evaluation (Grades 4 and 5)
  • Resources & Contacts
    • Puzzle Sources
    • Contacts
    • Workshops and Conferences
  • Puzzles
    • Level 1 Puzzles >
      • Spoke Sum
      • Number Wheel
      • Buggy Jump
      • Pyramid
      • Nine Men in a Trench
      • Star Jump
      • Circle Jump
      • Circle Jump II
      • Four Cottages
      • Free the Animals
      • Sam's House
      • About the Solutions
      • Solutions - Level 1
    • Level 2 Puzzles >
      • Neighbourhood Sums
      • Eight Squares
      • Soko Puzzle I
      • Soko Puzzle II
      • Abdication
      • Regime Change
      • Stairways to Heaven
      • Catacombs
      • About the Solutions
    • River Crossing Puzzles >
      • The fox, the goose, and the grain
      • The fox, the goose, and the grain, and the dog
      • The mouse, the elephant, the dog, and the cat
      • Soldiers and children
      • Animal Crossing
      • The Three Thieves
      • The Missionaries and the Cannibals
      • Quarrelsome Boys
      • Jealous husbands
      • A Handful for the Farmer
      • The farmer, his children, and their pets
      • About the Solutions
    • Sudoku-Type Puzzles >
      • Cats, Cows, and Pigs
      • Latin Squares
      • Apple and Bananas I
      • Apple and Bananas II
      • Apple, Bananas, and Cherries
      • Four Skyscraper Puzzles
      • Colourful Cats and Pigs I
      • Colourful Cats and Pigs II
      • The Wizard's Hats
      • Four Colours
      • About the Solutions
    • Other Puzzles >
      • Catch the Thief
      • Cherry Glasses
      • Coin Jumping I
      • Coin Jumping II
      • Evensies
      • The 22 Game
      • Switch Positions
      • Spellbound Frogs
      • The Die Hard Jugs
      • About the Solutions
    • About the Solutions
  • About SNAP
    • Our Mandate
    • Our Supporters
    • Who Are We?
    • Curriculum Connections
    • The SNAP Approach and "Inquiry-Based Learning"
    • Some History
  • Gallery

Catacombs

An archaeologist found a Mayan dungeon in a shape of a square divided into four quadrants. Each contained a network of interconnected underground pathways. The archaeologist sent four assistants to construct maps of each quadrant. After returning from the expedition, the archaeologist realized that he had failed to label the quadrants. So he put them together as shown below, but he was certain that the pathways do not form just one closed loop but many more.

Put the four maps together so that the pathways form as many closed loops as possible.

Picture
From Nobiyuki Yoshigahara's Puzzles 101

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