Hmm... I remember seeing just that question on an Ask.com commercial last winter.
The answer is no. Genes don't tell the whole story fingerprints. Instead, the fine details of ridges, valleys, and swirls that define our fingerprints are influenced by random stresses experienced in the womb. Even a slightly different umbilical cord length changes your fingerprints.
...no, identical twins have fingerprints that can be readily distinguished on close examination. However, the prints do have striking similarities. In fact, before the arrival of modern genetic testing, similarity of fingerprints was often used to determine whether twins were identical or fraternal. (Identical twins, you'll recall, are genetic duplicates who develop from a single egg. Fraternal twins develop from separate eggs and are no more closely related than ordinary siblings, except that they spend nine months sharing an extremely small bedroom...
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