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Tangloids is a mathematical game for two players created by Piet Hein to model the calculus of spinors. A description of the game appeared in the book "Martin Gardner's New Mathematical Diversions from Scientific American" by Martin Gardner from 1996 in a section on the mathematics of braiding.

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  • Tangloids (es)
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  • Tangloids (en)
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  • Tangloids es un para dos jugadores creado por Piet Hein con el objeto de modelizar el cálculo de espinores. (es)
  • Tangloids is a mathematical game for two players created by Piet Hein to model the calculus of spinors. A description of the game appeared in the book "Martin Gardner's New Mathematical Diversions from Scientific American" by Martin Gardner from 1996 in a section on the mathematics of braiding. (en)
  • Tangloids è un gioco di abilità per due persone, inventato dal matematico Piet Hein e usato da fisici come Niels Bohr per spiegare il calcolo degli spinori. Due blocchi piani di legno, ciascuno con tre fori molto piccoli, sono uniti con tre cordicelle parallele. (it)
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  • Tangloids es un para dos jugadores creado por Piet Hein con el objeto de modelizar el cálculo de espinores. (es)
  • Tangloids is a mathematical game for two players created by Piet Hein to model the calculus of spinors. A description of the game appeared in the book "Martin Gardner's New Mathematical Diversions from Scientific American" by Martin Gardner from 1996 in a section on the mathematics of braiding. Two flat blocks of wood each pierced with three small holes are joined with three parallel strings. Each player holds one of the blocks of wood. The first player holds one block of wood still, while the other player rotates the other block of wood for two full revolutions. The plane of rotation is perpendicular to the strings when not tangled. The strings now overlap each other. Then the first player tries to untangle the strings without rotating either piece of wood. Only translations (moving the pieces without rotating) are allowed. Afterwards, the players reverse roles; whoever can untangle the strings fastest is the winner. Try it with only one revolution. The strings are of course overlapping again but they can not be untangled without rotating one of the two wooden blocks. The Balinese cup trick, appearing in the Balinese candle dance, is a different illustration of the same mathematical idea. The anti-twister mechanism is a device intended to avoid such orientation entanglements. A mathematical interpretation of these ideas can be found in the article on quaternions and spatial rotation. (en)
  • Tangloids è un gioco di abilità per due persone, inventato dal matematico Piet Hein e usato da fisici come Niels Bohr per spiegare il calcolo degli spinori. Due blocchi piani di legno, ciascuno con tre fori molto piccoli, sono uniti con tre cordicelle parallele. Ogni giocatore tiene uno dei blocchi di legno. Il primo giocatore tiene fisso un blocco di legno, mentre l'altro giocatore ruota l'altro blocco di legno intorno a un qualunque asse per due giri completi. Il primo giocatore prova a districare le cordicelle senza ruotare i due blocchi di legno. Soltanto le traslazioni (che fanno scorrere le parti) sono permesse. In seguito, i giocatori si invertono i ruoli. Chiunque riesca a districare le cordicelle il più velocemente possibile risulterà vincitore. (it)
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