Tag Archive: fibonacci

Math Magic

Today I read the article, Colm Mulchay’s Fibonacci-Inspired Trick. This article described two card tricks that use math. The first trick uses the Fibonacci sequence and good shuffling skills.

The trick is done by having the first six numbers in the Fibonacci sequence [1, 2, 3, 5, 8, 13] (1=Ace and 13=King) at the top of the deck. Then the deck is shuffled thoroughly, ensuring that those same cards are on the top of the deck (even if they are in a different order). You have someone draw the top two cards and tell you their sum. Then you tell them what the two cards are. This is where the Fibonacci sequence comes into play. All of the possible sums of these cards are unique, and thus you know the value of each card in the pair. Tah-dah!


Fibonacci In Nature

In 10-Minute-Math’s blog, Fibonacci Right Outside,┬áthe presence of the Fibonacci sequence in nature is discussed. For those who don’t know, the Fibonacci sequence is Fn=Fn-1+Fn-2 where Fo=0 and F1=1. It looks something like (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … ).

In the blog, 10-Minute-Math tells of how he grew sunflowers to see if their seeds actually did follow the Fibonacci sequence, or if it was just really close. To his surprise, they appeared to be a perfect Fibonacci sequence, spiraling clockwise 55 times, and counterclockwise 34 times. See the picture below.