A person commits an offense if he knowingly engages in any of the following acts in a public place or, if not in a public place, he is reckless about whether another is present who will be offended or alarmed by his:
Act of sexual intercourse;
Act of deviate sexual intercourse;
Act of sexual contact; or
Act involving contact between the person’s mouth or genitals and the anus or genitals of an animal or fowl.
An offense under this section is a Class A misdemeanor.