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  2. Fibonacci word - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_word

    The infinite Fibonacci word is not periodic and not ultimately periodic. [2] The last two letters of a Fibonacci word are alternately "01" and "10". Suppressing the last two letters of a Fibonacci word, or prefixing the complement of the last two letters, creates a palindrome. Example: 01S 4 = 0101001010 is a palindrome.

  3. Fibonacci word fractal - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_word_fractal

    The Fibonacci word fractal is a fractal curve defined on the plane from the Fibonacci word. Definition. The first iterations L-system representation [1]

  4. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    A different trick may be used to prove = = + or in words, the sum of the squares of the first Fibonacci numbers up to is the product of the n-th and (n + 1)-th Fibonacci numbers. To see this, begin with a Fibonacci rectangle of size F n × F n + 1 {\displaystyle F_{n}\times F_{n+1}} and decompose it into squares of size F n , F n − 1 , . . .

  5. Fibonacci - Wikipedia

    en.wikipedia.org/wiki/Fibonacci

    Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. [3] Guglielmo directed a trading post in Bugia (Béjaïa), in modern-day Algeria. [16] Fibonacci travelled with him as a young boy, and it was in Bugia (Algeria) where he was educated that he learned about the Hindu–Arabic numeral system. [17] [7]

  6. Generalizations of Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of...

    An example is 47, because the Fibonacci sequence starting with 4 and 7 (4, 7, 11, 18, 29, 47) reaches 47. A repfigit can be a tribonacci sequence if there are 3 digits in the number, a tetranacci number if the number has four digits, etc.

  7. Sturmian word - Wikipedia

    en.wikipedia.org/wiki/Sturmian_word

    The Fibonacci word is an example of a Sturmian word. The start of the cutting sequence shown here illustrates the start of the word 0100101001.. In mathematics, a Sturmian word (Sturmian sequence or billiard sequence [1]), named after Jacques Charles François Sturm, is a certain kind of infinitely long sequence of characters.

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers for ...

    www.aol.com/today-nyt-strands-hints-spangram...

    An example spangram with corresponding theme words: PEAR, FRUIT, BANANA, APPLE, etc. ... Find non-theme words to get hints. For every 3 non-theme words you find, you earn a hint. Hints show the ...

  9. List of fractals by Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/List_of_fractals_by...

    When crumpling sheets of different sizes but made of the same type of paper and with the same aspect ratio (for example, different sizes in the ISO 216 A series), then the diameter of the balls so obtained elevated to a non-integer exponent between 2 and 3 will be approximately proportional to the area of the sheets from which the balls have ...