A thousand ways to play with math
It's summer time, time for vacations and games, all sorts of games. • Video games? Math (vectors, matrices and even quaternions) is everywhere to manage the animation. • Card games? Shuffling well is not so simple, especially if the deck is infinite… • Program a mathematical game? Creativity is on display for all young talents who want to try their hand at it within the framework of the Bernard-Novelli prize. • Warming up your brain at the beach or on the banks of the Seine? The usual games and problems sections are always there, with the addition (mystery, of course) of two new pages of cryptarithms. Tangente wishes everyone a wonderful summer.
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How mathematics powers video animation
Three-dimensional digital works, such as video games and animated films, unsurprisingly rely on mathematics to immerse us in their worlds. Angles, linear algebra, vectors and matrices play a particularly important role.
Shuffling an infinite deck of cards
Shuffling a fifty-two-card deck is easy enough. But suppose the deck contained infinitely many cards: could it still be "shuffled"? The answer is entirely up to you! Welcome to the world of paradoxes that play with infinity…