Having investigated the helical motion of the solar system, we stumbled upon the Fibonacci Sequence as it relates to spirals. Perfect, since we needed to do math and Baron is really resisting workbooks and worksheets today.
First stop:
The single most interesting, fascinating, and exciting investigation into math!!!!
Khan Academy:
This one sooooooo WONDERFUL!!!!! Thank God for Khan!!!!!!
www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math--spirals--fibonacci--and-being-a-plant--1-of-3
Less exciting but we love Sal.
https://www.khanacademy.org/science/computer-science/v/exercise---write-a-fibonacci-function
wikipedia:
Leonardo Pisano Bigollo (c. 1170 – c. 1250 AKA Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages."[2]
"Fibonacci numbers are closely related to Lucas numbers in that they are a complementary pair of Lucas sequences. They are intimately connected with the golden ratio; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... . Applications include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings,[8] such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple,[9] the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.[10]"
A great video illustrating the concept:
http://www.youtube.com/watch?NR=1&feature=endscreen&v=bE2EiI-UfsE
New question: What is the Golden Ratio? 34/55
Ah, so much yet to explore!
No comments:
Post a Comment