Non-Binary Genders are gender identities that don't fit within the accepted binary of male and female.  People can feel they are both, neither, or some mixture thereof.  It might be easier to view gender as a 1-dimensional spectrum with male on one end, female on the other, and androgyne in the middle- but the reality is that gender is more complex, and 3-dimensional models with axes for male, female, and how strongly you feel attached to that gender identity have been suggested.