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How to Trap an Evil Wizard on a 5x5 Chessboard

2.4M views
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May 19, 2020
by
TED-Ed
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How to Trap an Evil Wizard on a 5x5 Chessboard

TL;DR

To trap the evil wizard MoldeVort on a 5x5 chessboard, choose the numbers 1, 3, 4, and 5. This strategy uses Pythagorean triples to control his movement, keeping him confined to the blue and red areas while avoiding the orange spaces that lead to escape.

Transcript

The evil wizard MoldeVort has been trying to kill you for years, and today it looks like he’s going to succeed. But your friends are on their way, and if you can survive until they arrive, they should be able to help stop him. The evil wizard’s protective charms ward off every spell you know, so in an act of desperation you throw the only obje... Read More

Key Insights

  • 🖐️ Pythagorean triples like 3, 4, 5 play a crucial role in plotting strategic moves on the chessboard.
  • 🦻 Symmetry simplifies the board into distinct areas, aiding in strategic decision-making.
  • 🫤 Diagonal movements can be strategically utilized to control the evil wizard's positioning.
  • 🧙 Selecting specific numbers like 1, 3, 4, and 5 helps in keeping the wizard contained within safe areas.
  • 👨‍💻 Understanding the board's color-coded areas helps in planning effective trapping strategies.
  • #️⃣ Avoiding certain numbers like 2 and using others strategically is key to maintaining control over MoldeVort.
  • 👻 The chessboard's symmetrical nature allows for effective planning based on corner and side positions.

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Questions & Answers

Q: How can Pythagorean numbers be utilized to trap the evil wizard on the chessboard?

Pythagorean triples like 3, 4, 5 allow strategic placement to trap MoldeVort within specific distances on the chessboard.

Q: What role does symmetry play in the strategy of containing the evil wizard?

Symmetry allows categorizing board areas into blue, red, and orange, simplifying the strategic approach for keeping MoldeVort trapped.

Q: Why are numbers like 1, 3, 4, and 5 chosen to counter the evil wizard's moves?

These numbers strategically position MoldeVort within safe areas on the chessboard, preventing him from reaching escape routes.

Q: How does understanding diagonals on the chessboard aid in trapping the evil wizard?

Utilizing diagonal distances helps maintain control over MoldeVort's movements, ensuring he remains within the trap set by Pythagorean numbers.

Summary & Key Takeaways

  • Evil wizard MoldeVort threatens your life on a 5x5 chessboard.

  • Use Pythagorean triples like 3, 4, 5 to trap MoldeVort by choosing 1, 3, 4, and 5.

  • Reducing symmetrical board to blue, red areas helps keep wizard contained.


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