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A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21 The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths.
Cobweb plot of the orbit 10 → 5 → 8 → 4 → 2 → 1 → ... in an extension of the Collatz map to the real line. The Collatz map can be extended to the real line by choosing any function which evaluates to x / 2 {\displaystyle x/2} when x {\displaystyle x} is an even integer, and to either 3 x + 1 {\displaystyle 3x+1} or ( 3 x + 1 ) / 2 ...
As a theme and as a subject in the arts, the anti-intellectual slogan 2 + 2 = 5 pre-dates Orwell and has produced literature, such as Deux et deux font cinq (Two and Two Make Five), written in 1895 by Alphonse Allais, which is a collection of absurdist short stories; [1] and the 1920 imagist art manifesto 2 × 2 = 5 by the poet Vadim ...
This series was used as a representation of two of Zeno's paradoxes. [2] For example, in the paradox of Achilles and the Tortoise, the warrior Achilles was to race against a tortoise. The track is 100 meters long. Achilles could run at 10 m/s, while the tortoise only 5. The tortoise, with a 10-meter advantage, Zeno argued, would win.
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[2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
Get ready for all of today's NYT 'Connections’ hints and answers for #608 on Saturday, February 8, 2025. Today's NYT Connections puzzle for Saturday, February 8, 2025The New York Times.
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