Does the Golden ratio exist in face measurements?
by: Elaine M (over 3 years ago)

Project #: 204
Tags:
Description

OVERVIEW

Ninth grade students took face measurements to learn about ratios. Which ratio comes closest to the golden ratio: 

  • golden ratio = 1.61803399 (decimal estimation)
  • , which is  (the Greek letter phi), where  is approximately 1.618.

PROCEDURE

Students collect face measurement data in stations so that the same students take the measurements of the same parts of the face to attempt for higher reproducibilit

 

Fields
Name Units Type
1 length of face y
inches
Number
2 width of face x
inches
Number
3 Top of the forehead to between the eyes a
inches
Number
4 Between the eyes to the bottom of the nose b
inches
Number
5 Bottom of the nose to bottom of the chin c
inches
Number
6 Distance between center of pupils p
inches
Number
7 Length of ear e
inches
Number
8 Length of nose n
inches
Number
9 Width of the eye w
inches
Number
11 Distance to inside corners of eyes i
inches
Number
12 Distance to outside corners of the eyes o
inches
Number
Formula Fields
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Does the Golden ratio exist in face measurements?

Project #: 204


Description

OVERVIEW

Ninth grade students took face measurements to learn about ratios. Which ratio comes closest to the golden ratio: 

  • golden ratio = 1.61803399 (decimal estimation)
  • , which is  (the Greek letter phi), where  is approximately 1.618.

PROCEDURE

Students collect face measurement data in stations so that the same students take the measurements of the same parts of the face to attempt for higher reproducibilit

 


Fields
Name Units Type
1 length of face y
inches
Number
2 width of face x
inches
Number
3 Top of the forehead to between the eyes a
inches
Number
4 Between the eyes to the bottom of the nose b
inches
Number
5 Bottom of the nose to bottom of the chin c
inches
Number
6 Distance between center of pupils p
inches
Number
7 Length of ear e
inches
Number
8 Length of nose n
inches
Number
9 Width of the eye w
inches
Number
11 Distance to inside corners of eyes i
inches
Number
12 Distance to outside corners of the eyes o
inches
Number
Name Units Type
Name/Group:__________________________________
Date:________________________________________
1 length of face y 2 width of face x 3 Top of the forehead to between the eyes a 4 Between the eyes to the bottom of the nose b 5 Bottom of the nose to bottom of the chin c 6 Distance between center of pupils p 7 Length of ear e 8 Length of nose n 9 Width of the eye w 11 Distance to inside corners of eyes i 12 Distance to outside corners of the eyes o