The Fibonacci Series - The Golden Ratio - The Golden Spiral. As of July 1, 2013 ThinkQuest has been discontinued. We would like to thank everyone for being a part of the ThinkQuest global community: Students - For your limitless creativity and innovation, which inspires us all. Teachers - For your passion in guiding students on their quest. Partners - For your unwavering support and evangelism. Parents - For supporting the use of technology not only as an instrument of learning, but as a means of creating knowledge. We encourage everyone to continue to “Think, Create and Collaborate,” unleashing the power of technology to teach, share, and inspire. Best wishes, The Oracle Education Foundation. Illustrator: Golden Section - Layers Magazine | Layers Magazine. Golden Section and Rule of Thirds (Golden Mean, Golden Ratio, Golden Spiral, Golden Proportion, Golden Triangles).
The Golden Section, Golden Ratio or Divine Proportion based on Phi, 1.618: Constructions and Applications. GoldenNumber.Net explores the appearance of Phi, 1.618 (also known as the Golden Ratio, Golden Mean, Golden Section or Divine Proportion, in mathematics, geometry, life and the universe and shows you how to apply it, and its applications are limitless: The Golden Section is a ratio based on a the number Phi, 1.618… The Golden Section or Ratio is is a ratio or proportion defined by the number Phi (= 1.618033988749895… ) It can be derived with a number of geometric constructions, each of which divides a line segment at the unique point where: the ratio of the whole line (A) to the large segment (B) is the same as the ratio of the large segment (B) to the small segment (C).
In other words, A is to B as B is to C. This occurs only where A is 1.618 … times B and B is 1.618 … times C. This ratio has been used by mankind for centuries Its use may have started as early as with the Egyptians in the design of the pyramids, It appears in the design of Notre Dame in Paris Dr. Be Sociable. Fibonacci number. A tiling with squares whose side lengths are successive Fibonacci numbers In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence: or (often, in modern usage): (sequence A000045 in OEIS). The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling;[3] this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.
By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two. In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation with seed values or The Fibonacci sequence is named after Fibonacci. Fibonacci numbers are closely related to Lucas numbers in that they are a complementary pair of Lucas sequences. Origins[edit] List of Fibonacci numbers[edit] and. GOLDEN SECTION.