How dissimilar are the fingerprints of identical twins?
Identical twin fingerprints are different, but generally more similar than to random people.  For example:


  Fingerprint recognition with identical twins is a challenging task due to the closest genetics-based relationship existing in the identical twins ... Srihari et al. [6] analyzed the similarity between twins' fingerprints in a study using fingerprint images from 298 pairs of twins. The authors analyzed this similarity using two-level features. With the features of level 1, they found that twins' fingers are much more likely (55%) to have the same pattern type than non-twins' fingers (32%). With the features of level 2, they concluded that the similarity between the fingerprints from twin fingers is higher than from two arbitrary fingers. 


Fingerprint Recognition with Identical Twin Fingerprints


  Dermatoglyphic asymmetry and diversity traits from a large number of twins (MZ and DZ) were analyzed based on principal factors to evaluate genetic effects and common familial environmental influences on twin data by the use of maximum likelihood-based Variance decomposition analysis. ... The present results are similar with the earlier results of finger ridge count diversity in twin data, which suggested that finger ridge count diversity is under genetic control.


--Inheritance of dermatoglyphic asymmetry and diversity traits in twins based on factor: variance decomposition analysis