Strategy Duels
Nim Arena
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
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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.
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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.
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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
- Open the Arena — pick the floor (the math skill to drill), a length, and a move timer.
- Share the 4-letter code / QR / link; students join on any device.
- Hit “Open the Arena”: students are paired off and play best-of-2 duels (they swap who goes first, so it’s fair).
- Watch the live ladder climb and the match grid update; an odd student out plays a beatable “Arena Master” bot so nobody waits.
- 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.