Hidden Ratios

Procedures:

Record your measurements from the illustration above.

L1	L2
Top of Head to Chin =____.____cm	Width of Head = _____.____cm
Top of Head to Pupil = _____.____cm	Pupil to Lips = ____.___ cm
Tip of Nose to Chin = ____.____cm	Pupil to Tip of Nose = ____ . ___ cm
Width of Nose = ____.____cm	Tip of Nose to Lips = ____.____cm.
Distance Between Outside Edges of Eyes = ____.____cm	Hairline to Pupil = _____._____cm
Tip of Nose to Chin = ____.____cm	Lips to Chin = ____.____cm
Length of Lips = ____.____cm	Width of Nose = ____.____cm

Enter the two lists in the graphing calculator using L1 and L2.

Set up L3 to be the ratio of L1 to L2 or L1/L2.

What do you notice about the ratios?

What does it mean when the ratios are all about the same quantity?

Return to the homescreen and find the mean of L3 using the Mean command on the calculator.

Did you end up with a number about 1.618? This number is called the golden ratio. You may want to investigate more about this number.