I have a purple spots in my right breast something like exploded blood vessels.

Hemangioma: Probably hemangioma but your fp, gyn or derm should see those to make proper diagnosis.

Normal finding: I am amazed about how often I have women ask me about the veins on their breast. Occasionally they are spider veins but mostly they are blue veins. These are almost always normal findings and normal variations of chest veins. They tend to be more pronounced in fair skinned females and they may be related to hereditary factors or even pregnancies. No treatment is necessary unless for cosmetics.