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Logic & Puzzles

Match Point

Grades 4+ · whole-class race + solo

Two cards, and they ALWAYS share exactly one symbol — never zero, never two. Find it on an outer card and tap it before anyone else. Solo sprints and live whole-class races on one shared board. Behind the cuteness: a finite geometry so strange that two of its sizes are flat-out impossible — one of them only ruled out by a supercomputer in 1989.

For Educators

Built for the classroom

Pattern-spotting with a deep geometry underneath. Each card is a LINE and each symbol a POINT of a finite projective plane, where any two lines meet in exactly one point — which is WHY any two cards share exactly one symbol (the Dojo's Guarantee lab lets students hunt, and fail, for a pair that breaks the rule). A plane of order n has n²+n+1 points, the same number of lines, and n+1 points per line — so the 6-symbol deck has 31 cards and the 8-symbol deck has 57. The gated theorem reveals the shock: planes exist for every prime-power order, yet order 6 is impossible (Euler's 36-officers, proven 1900) and order 10 is impossible too — that one resisted until a famous 1989 computer search (Lam–Thiel–Swiercz), while order 12 is still unknown. Original art and an original name throughout.

Grades 4+ · three decks: Easy (4 symbols/card, 13 cards), Classic (6 symbols, 31 cards), Hard (8 symbols, 57 cards) · solo Sprint (90s, 12+ matches earns the license) and Zen · live races 3/5/10 minutes.

Three ways to play

  • Sprint & Zen (solo)

    Sprint: 90 seconds against the clock — 12+ matches earns the Spotter License. Zen: no clock. Pick a deck difficulty (4, 6, or 8 symbols per card).

  • Host a Race

    One shared board on the projector; pick the deck and 3/5/10 minutes. First tap takes each card (+1); wrong taps cost 1. The server is the judge.

  • Join on any device

    Same live board on every screen — when someone claims, everyone's board updates instantly. Fastest eyes win.

Run a live class in 5 steps

  1. Open the Race — pick a deck (Easy / Classic / Hard) and the length; share the 4-letter code / QR / link.
  2. Students join on any device; the same centre + outer cards appear everywhere.
  3. Find the one symbol an outer card shares with the centre and tap it. First tap takes it (+1); a wrong tap costs 1.
  4. Mid-race, ask: has anyone EVER found a pair that shares zero, or two? (They can't — and that's the whole secret.)
  5. Afterwards, send fast finishers to the Dojo's Fano Plane lab — then ask which deck sizes could NEVER exist.

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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