The Fibonacci Sequence in Townball 

1, 1, 2, 3, 4, 8, 13, 21, 34, 55, 89, ........

 

“Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.
–Johannes Kepler

 

 

1

One Field

 

1

One Ball

 

2 

Two Teams

 

3 

Three Strikes

 

5 

Five Stakes, Win by Five Runs, Five Foot Wide Batter's Box

 

8 

Eight Runs to Win, Eight Foot Long Batter's Box

 

13 

Thirteen Players, Run Cap at Thirteen

 

21 

Twenty-One times Two is Fourty Two Feet to First Stake, Two Times Twenty-One Plus Five is Fifty-Two Feet Pitcher's Point

 

34 

Thirty-Four times Two is Sixty-Eight Feet to Second Stake, Thirty-Four Divided by Two is Seventeen Inch Wide Strike Zone, Bottom of Strike Zone The Quotient of the Difference of Thirty Four And Eight, and Two (Thirteen) Inches from the Ground

 

55 

Fifty Five Times Two is One-Hundred-Ten feet to Third, Fourth, and Fifth Stakes. Fifty-Five Divided by Two is Twenty-Seven and a Half Inch Tall Strike Zone

 

In addition, the height and width of the strike zone corresponds to the golden ratios formed by the human body, that is, the heigth of the strike zone is equal to the distance from the navel (the golden sector from the top of the head to the ground for the average height, that is, five feet, eleven inches) to the hallow beneath the knee caps (the golden sector from the navel to the ground), and the width of the strike zone corresponds to the distance from the hallow beneath the kneecaps to the ground.

 

Moreover, the two rectangles formed by the batting point and second stake, and by the batting point and fourth stake are golden rectagles, i.e., the ratio formed by the lengths of their consequtive sides is equal to the golden ratio (34/21).