# Fibonacci sets

noun - Fibonacci sets are swimming sets done in a pool or in open bodies of water that follow the initial sequence of Fibonacci numbers.

## Contents

## Fibonnaci

Leonardo Pisano Bigollo, a talented Italian mathematician who lived in the 12th and 13th centuries was known as Fibonacci (and Leonardo of Pisa). In his *Liber Abaci* (*Book of Calculation*) published in 1202, he described a specific number sequence that became known as Fibonacci numbers.

## Fibonnaci Numbers

0 1 1 2 3 5 8 13 21 34 55 89 144…are the first set of Fibonacci numbers. Numbers in a Fibonacci sequence are the sum of the previous two numbers (i.e., 0 + 1 = 1, 1 + 1 = 2, 2 + 3 = 5).

## Examples of Fibonacci Sets

In Fibonacci sets, the swimming set generally get increasingly more difficult. Examples of Fibonacci sets of 2000 in distance (yards or meters) comprise of a set of 100 swims (yards or meters) utilizing the Fibonacci numbers:

1 x 100 @ 1:35

1 x 100 @ 1:30

2 x 100 @ 1:25

3 x 100 @ 1:20

5 x 100 @ 1:15

8 x 100 @ 1:10

or in another 2000 set where every swim is an a certain pace (e.g., 1:20 per 100):

1 x 100 @ 1:20

1 x 100 @ 1:20

1 x 200 @ 2:40

1 x 300 @ 4:00

1 x 500 @ 6:40

1 x 800 @ 10:40

Or an 88-minute Fibonacci set in an open body of water where swimmers alternate swimming moderately and fast (or slow and moderately):

Swim moderate for 1 minute

Swim fast for 1 minute

Swim moderate for 2 minutes

Swim fast for 3 minutes

Swim moderate for 5 minutes

Swim fast for 8 minutes

Swim moderate for 13 minutes

Swim fast for 21 minutes

Swim moderate for 34 minutes

## Origin

Circa 2013 by Steven Munatones and the Open Water Swim Club of Huntington Beach, California.

## Video