Based on the information provided, there are in excess of 1020, or a hundred billion billion, possible unique human faces.
This estimation stems from considering the various coefficients of combination that contribute to facial features and assuming that coefficients significant to about 10% are considered. This results in an astronomically large number of potential facial combinations.
Keep in mind this is an estimation. The exact number is impossible to determine definitively due to several factors:
- Subjectivity: Defining what constitutes a "unique" face is subjective. How much difference is required to consider two faces distinct?
- Genetic Complexity: The genetic control of facial features is incredibly complex and not fully understood. It involves numerous genes and their interactions.
- Environmental Factors: Environmental influences during development can also affect facial features.
- Statistical Limitations: Accurately modeling the statistical distribution of facial features across the entire human population is challenging.
Therefore, while the reference provides an order-of-magnitude estimate, the true number of possible unique faces remains unknown and likely undefinable.