Will now automatically direct you to this new one.Īll of my other maths pages are under .uk (which links to my Contact details page) and will automatically redirect you to the new site. You should notice no difference in accessing it. The whole of my Maths website at University of Surrey is now secure
Has been added to the Number Bases page, based on the Chinese Remainder Theorem.
To mark the Chinese New Year a new section on The Fibonacci numbers and related topics above. THIS PAGE is the Menu page linking to other pages at this site on The first link on the Fibonacci numbers and where they appear in Nature. If you want a quick introduction then have a look at Ī sequence of 0s and 1s that is closely related to the Fibonacci numbers and the golden section. Linear Recurrence Relations and Generating Functionsġ 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1. Introduction to Continued Fractions An unusual method of writing fractions that has many advantages.Īn Exact Fractions Calculator and converter Fractions to and from Decimal, Continued Fractions from and to Fractions withĪn expression evaluator and many in-built functions and all to as many decimal places as you like!. More on Runsums Integer Sums or Partitions of an integer The number 2016 The number 2021 Fractions Fractions and Decimals - their periods and patterns and in non-decimal bases.įarey Fractions and Stern-Brocot Tree Calculators Two ways of arranging all fractionsĮgyptian fractions The Egyptians only had unit fractions of the form 1/n. Runsums Numbers which are the sum of a run of consecutive whole numbers More on Polygonal Numbers Central polygonal numbers, matchstick figures, 3D solid shapes and higher dimensions Integer Palindromes Polygonal and Figurate Numbers Triangular, Square, Pentagonal. Primes & Factors Calculator Integer Bases many kinds of bases to represent integeres Introduction to trilinear and barycentric coordinates, links to Clark Kimberling'sĮncyclopedia of Triangle Centers (ETC) with automatic lookup 3, 4, 5.Įxact Trig Values for Simple Angles Which angles have a simple exact value for their sine,cosine or tangent?Ī Triangle Convertor for Cartesian, Trilinear and Barycentric Coordinates Pythagorean triangles Right-angled triangles with integer sides, e.g. In famous art pieces, "The Last Supper" and "The Mona Lisa", Leonardo Da Vinci used the Fibonacci sequence to create these masterpieces! Music composers such as Mozart and Bartok have used this same sequence in some of their works! Even in today's age of music, Maynard James Keenan from the band TOOL was inspired by the Fibonacci series and used it to create the rhythm and lyrics of their song "Lateralus".Other Maths Pages at this site: Triangles and Geometry
Throughout history, the Fibonacci sequence has been applied to art in many forms. Early childhood is from 4-7, and middle childhood is 7-11. The first two years of life are referred to as early infancy, and next is the toddler stage from two to four. Even as a human develop, we grow through 8 stages. The math and science behind our DNA is in the pattern of the Fibonacci sequence. That is the mysterious Fibonacci at work! From the number of petals that are on a flower, the way a pineapple or pine cone spirals, or the way a branch splits out into 3, it is all the same pattern! In relation to our own bodies as examples, think about the pattern of our DNA strands and how they spiral. Think of how the middle, or inside, of the flower, repeats this crazy cool pattern of the seeds.
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