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Strategy Duels

Nim Arena

Grades 3+ · live duels

Head-to-head Nim for the whole class. The teacher picks one of 7 floors (Subtraction, Clock, XOR, Misère, Staircase, Wythoff, or Fibonacci); students are paired off and battle classmates one-on-one, climbing a live ladder. Continuous pairing means nobody sits out. Learn winning and losing positions by playing them.

Designed by MPS 5 batch
2025–26 session

For Educators

Built for the classroom

Strategic thinking and game theory — students discover P-positions, parity, the golden ratio, and Fibonacci structure by actually playing both sides of a fair duel, not by memorizing a rule. Pairs with the solo Nim Tower, where the math behind each floor is taught in the Dojo.

Grades 3 to all ages · 7 floors. The host picks ONE floor per arena (one math skill to drill that session).

Three ways to play

  • Learn solo first

    Send students to Nim Tower to climb the floors and read the strategy in the Dojo, then bring the skill to the Arena.

  • Host an Arena

    Open a room on the projector; a 4-letter code + QR + join link appear. Pick the floor + length, then watch the live ladder and match grid.

  • Join on any device

    Students enter the code (or scan the QR / open the link) on a laptop, tablet, or phone and get matched against a classmate. When a match ends they’re instantly re-paired — no waiting, no elimination.

Run a live class in 5 steps

  1. Open the Arena — pick the floor (the math skill to drill), a length, and a move timer.
  2. Share the 4-letter code / QR / link; students join on any device.
  3. Hit “Open the Arena”: students are paired off and play best-of-2 duels (they swap who goes first, so it’s fair).
  4. Watch the live ladder climb and the match grid update; an odd student out plays a beatable “Arena Master” bot so nobody waits.
  5. When the timer runs out, the top of the ladder takes the podium. No accounts — the ladder lives only while the room is open.

Tip: host on a laptop or projector (the big screen shows the code, QR and leaderboard); students join on their phones or laptops.

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