There are three points of contact where sex may occur. The mouth, the genitals, and the ass. A mouth can have an instance of sex with another mouth, a pair of genitals, and an ass. A penis can have an instance of sex with a mouth, a vagina, or an ass. A vagina can have an instance of sex with a mouth or a penis. I would like to label vaginas and asses as representing 0s and penises as representing 1s. I don't know what to represent mouths as, as they can make contact with everything else.

Would it be possible to achieve an orgy of one hundred people in which every individual is having an instance of sex with three other individuals? Would there need to be a higher percentage of people with male of female genitalia for this to work?