In reality, the genitalia looks more like a mash-up of both and lack the typical functions you would expect.
(The sexualizing pornographers make these fakes.) In today's world, most hermaphrodites are altered into women by surgery under AMA Standards of Care or appear totally male.
The distribution of self-fertilization rates among animals is similar to that of plants, suggesting that similar processes are operating to direct the evolution of selfing in animals and plants.
which derives from Hermaphroditus (Ἑρμαφρόδιτος), the son of Hermes and Aphrodite in Greek mythology.
Although many have very small genitalia and many choose gay or lesbian lifestyles, some do marry.
The idea of a dual sexuality, as pictured in current adult popular culture, is mostly untrue (the reality is it's not an enviable position to be in.) Yet the idea of the hermaphrodite as an object of love and sexual desire has fascinated artists throughout history. If you have comments or knowledge of the source, or description of these images, please email me.