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Home > Art, Film & Photography > Matematiques Recreatives: Trencaclosques, Quadrat Magic, Problema de Monty Hall, Sudoku, Cub de Rubik, Nurikabe, Problema del Blat I L'Escaquer
Matematiques Recreatives: Trencaclosques, Quadrat Magic, Problema de Monty Hall, Sudoku, Cub de Rubik, Nurikabe, Problema del Blat I L'Escaquer

Matematiques Recreatives: Trencaclosques, Quadrat Magic, Problema de Monty Hall, Sudoku, Cub de Rubik, Nurikabe, Problema del Blat I L'Escaquer


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About the Book

Font: Wikipedia. Pagines: 23. Capitols: Trencaclosques, Quadrat magic, Problema de Monty Hall, Sudoku, Cub de Rubik, Nurikabe, Problema del blat i l'escaquer, Problema de les 12 monedes, Tangram, Torres de Hanoi, Tasca de seleccio de Wason, Cub Soma, El problema del cavaller De Mere, Problema del guarda del museu, Sidoku, Regla 30, Vuit reines, Kakuro, Kenken, Nombre de Dudeney, Pentomino, Addoku. Extracte: Un quadrat magic es la disposicio d'una serie de nombres enters en una taula quadrada o matriu de forma que la suma dels numeros per columnes, files i diagonals sigui la mateixa, la constant magica. Usualment, els numeros emprats per a omplir les caselles son consecutius de l'1 a n, essent n el numero de columnes i files del quadrat. Sigui la successio aritmetica 1, 2, 3, 4 ... 36 (quadrat d'ordre 6), disposats ordenadament en dues series en zig-zag: Resulta evident que qualsevol parell de numeros alineats verticalment suma el mateix, ja que a mesura que ens desplacem per les columnes en la fila superior s'hi afegeix una unitat mentre que en la inferior se n'hi resta una. La suma es, en tots els casos, la dels extrems: Si es disposen el conjunt de numeros en sis files (vegeu la taula a la dreta), facilment es pot apreciar que les sumes en les diferents columnes han de ser necessariament iguals, ja que els numeros es troben agrupats per parelles tal i com ho estaven en el primer cas (compareu les parelles de files 1a-6a, 2a-5a i 3a-4a amb la disposicio original). Ara, tanmateix, per ser tres (n/2) les parelles de files, la suma resulta: quantitat anomenada constant magica, i que en aquest cas es nx(n + 1)/2 = 6x(36 + 1)/2 = 111. El quadrat anterior no es pas un quadrat magic, ja que com s'han disposat les files en forma consecutiva, les sumes de cada fila son cada cop mes grans. No obstant aixo, s'han trobat sis series de numeros compresos entre 1 i 36 de forma tal que, sense repetir-se'n cap, les sumes de les series son la constant magica. Pero, es mes, la ...


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Product Details
  • ISBN-13: 9781232752417
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 24
  • Spine Width: 1 mm
  • Weight: 64 gr
  • ISBN-10: 123275241X
  • Publisher Date: 04 Aug 2011
  • Binding: Paperback
  • Language: Catalan
  • Returnable: N
  • Sub Title: Trencaclosques, Quadrat Magic, Problema de Monty Hall, Sudoku, Cub de Rubik, Nurikabe, Problema del Blat I L'Escaquer
  • Width: 189 mm


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