Final answer:
The term 'platonic' means that Gayle and Robert's friendship is based on friendship and shared interests, not romantic interest.
Step-by-step explanation:
In the context of Gayle and Robert's friendship, the term 'platonic' means that their relationship is based on friendship and shared interests. It is not based on romantic or physical attraction. Plato, a Greek philosopher, believed that the highest form of love was a non-romantic, spiritual love based on shared interests and virtues.