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- https://math.libretexts.org/Courses/Coastline_College/Math_C100%3A_Liberal_Arts_Mathematics_(Tran)/07%3A_Mathematics_and_the_Arts/7.02%3A_The_Golden_Ratio_and_Fibonacci_SequenceIn this section, we will discuss a very special number called the Golden Ratio. It is an irrational number, slightly bigger than 1.6, and it has (somewhat surprisingly) had huge significance in the wo...In this section, we will discuss a very special number called the Golden Ratio. It is an irrational number, slightly bigger than 1.6, and it has (somewhat surprisingly) had huge significance in the world of science, art and music. It was also discovered that this number has an amazing connection with what is called the Fibonacci Sequence, originally studied in the context of biology centuries ago. This link among algebra, biology, and the arts suggests the mathematical unity of the world.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/05%3A_Graph_Theory/5.07%3A__Linear_Recurrence_RelationsThis page explores recursive definitions in mathematics, focusing on continued radicals, continued fractions, and Fibonacci sequence. It covers recurrence relations and counting combinations while avo...This page explores recursive definitions in mathematics, focusing on continued radicals, continued fractions, and Fibonacci sequence. It covers recurrence relations and counting combinations while avoiding consecutive characters in strings. The text includes practice problems on food combinations and counting steps, highlighting the effectiveness of recursive strategies in problem-solving.
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_100%3A_Liberal_Arts_Mathematics_(Saburo_Matsumoto)/07%3A_Mathematics_and_the_Arts/7.02%3A_The_Golden_Ratio_and_Fibonacci_SequenceIn this section, we will discuss a very special number called the Golden Ratio. It is an irrational number, slightly bigger than 1.6, and it has (somewhat surprisingly) had huge significance in the wo...In this section, we will discuss a very special number called the Golden Ratio. It is an irrational number, slightly bigger than 1.6, and it has (somewhat surprisingly) had huge significance in the world of science, art and music. It was also discovered that this number has an amazing connection with what is called the Fibonacci Sequence, originally studied in the context of biology centuries ago. This link among algebra, biology, and the arts suggests the mathematical unity of the world.
