On an outdated webpage we found a mathematical approach to determine the best heel height for a specific foot. To make sure this work is not lost, we have copied it below. Use this at own risk.
The math approach to heel height is interesting. But high heels are not exact science. What height of heels you can wear comfortably is all about experience. So, the equations below are interesting and give some insight. Practise is what is needed to wear higher heels.
How high is her high heel?
My girlfriends foot size is 23.5cm. (Editor: see Shoebidoo size table, 23.5 cm is a size 37 EU).
Question: What heel height can she comfortably wear?
The math - definitions
H = heel height
Phi = angle of arch in degrees
A = lenght of foot arch
B = lenght of fore foot
d = platform height
F = lenght of foot when standing flat
The case continued:
I took the measurement for heel to joint(A) and joint to toe(B) for my girlfriend. This is the joint of big toe. The A-line rotates of the joint. A is about 66% of foot size F. Phi is the angle of Rotation. Phi is an important variable as it is the physical limit. When Phi was set over 60 degrees, my girlfriend felt a pain in the joint.
The Math - calculation
Therefore, heel height H is calclated by A, Phi and d.
d is thickness of the base (platform). In our calculation d=0.
Heel height H is the sinus Phi times the length of A + d.
This gives the following graph to find a comfortable heel height for sizes 34 to 39 (20 to 25 cm foot lenght):
The case - result:
If the length of the foot of my girlfriend is 23.5cm (size EU 37), and limit angle (without pain) is 50 degrees, the highest high heel which she can comfortably put on is 11cm (110mm, 4+1/2inch).
A more experienced heel wearer should be able to wear a 13cm heel without platforms at a 60 degree angle. And still she may experience pain, but who cares if you feel great while wearing your Christian Louboutin Pigalle ultimate single sole pumps?
So these 6 inch heels will take some practise and pain. The angle is over 80 degrees