Phi, as a ratio, features prominently in works of da Vinci and Dali. And, it plays a key role into Western aesthetics and architecture. It is found all over in nature, from snail shells and flower seed heads to many plant patterns such as those in pineapples, ferns and pinecones. The formalization of phi may have been motivated by its presence in the pentagram, a common religious symbol at that time. The mathematical constant phi has been studied since at least 300 BCE, when it was defined by Greek mathematician Euclid. International Technology and Engineering Educators Association - Technologyįibonacci Sequence Robot MINDSTORMS NXT Program (rbt) Visit [ to print or download.Ībility to perform division, and an understanding of the basic concept of a function.

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. Investigate patterns of association in bivariate data. Use ratio reasoning to convert measurement units manipulate and transform units appropriately when multiplying or dividing quantities. Identify phi as the limit of the ratio of terms of the Fibonacci sequence.įluently divide multi-digit numbers using the standard algorithm.įluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.Explain the general term of the Fibonacci sequence.This activity builds upon the omnipresence of this number to introduce students to discrete mathematics, and extends the idea of a mathematical sequence to basic programming using the EV3 MINDSTORMS software.Īfter this activity, students should be able to: In art, this constant is used to quantify aesthetic beauty, such as in da Vinci's Mona Lisa, or even the face of a beautiful person. From the great pyramids to the Parthenon, this number appears in the shapes and scales of many engineering designs and architectural feats. Phi is arguably one of the most important mathematical constants.

Fibonacci sequence in nature da vinci