The play features the characters of Albert Einstein and Pablo Picasso, who meet at a bar called the Lapin Agile in Montmartre, Paris. It is set on October 8, 1904, and both men are on the verge of disclosing amazing ideas. At the Lapin Agile, they have a lengthy debate about the value of genius and talent, while interacting with a host of other characters. Each character in Lapin Agile has a specific role. For example, Schmendiman, an inventor, believes he is a genius but really knows very little, while Gaston, an amicable old Frenchman with prostate problems, is hesitant to listen to or believe anything that does not revolve around sex or drinking. There is much discussion of the major cultural influences of the twentieth century. Picasso represents art, Einstein represents science, and Schmendiman represents commercialism. Picasso and Einstein eventually realize that their abilities are equally valuable. Once the main characters have reached their moment of insight, "The Visitor", a man from the future, crashes the party. Although the Visitor is never named, his identity can be surmised as Elvis Presley. The Visitor adds a third dimension to Picasso's and Einstein's debate, representing the idea that genius is not always the product of academic or philosophical understanding, or as Gaston refers to it, "Brains". Martin has written: "Focusing on Einstein’s Special Theory of Relativity and Picasso’s master painting, Les Demoiselles d'Avignon, the play attempts to explain, in a light-hearted way, the similarity of the creative process involved in great leaps of imagination in art and science".
Freddy – The owner and bartender of the Lapin Agile. He is the boyfriend of Germaine, and seems to be a simple-minded man but occasionally says something truly stunning, and occasionally breaks the fourth wall.
Gaston – An abrupt and direct old Frenchman with prostate problems, who talks plainly and only seems to care about sex and drinking
Germaine – A waitress at the Lapin Agile. She is Freddy's girlfriend and a very thoughtful and beautiful woman. She has many ideas of what the 20th century will be like, and has slept with Picasso.
Albert Einstein – A 25-year-old scientist with big aspirations. He is a genius, with a book on the way called The Special Theory of Relativity. He often finds himself having to explain his theories and thoughts in a simpler fashion to the rest of the group, as he is wise beyond his years.
Suzanne – A beautiful 19-year-old girl who is infatuated with Picasso. Suzanne and Picasso have already slept together, and she is left hurt and angry when he doesn't remember her.
Sagot – Picasso's art dealer, who is obsessed with finding and selling great pieces of art for profit
Pablo Picasso – A talented and charismatic 23-year-old painter. Extremely egotistical and self-confident, he is a serial womanizer and master of manipulation.
Charles Dabernow Schmendiman – A young inventor with huge dreams and little knowledge. Although he is hardworking, he is overshadowed by the genius and talent of Einstein and Picasso.
The Countess – An extremely intelligent and attractive woman, with whom Einstein is infatuated. She thinks like he does, being the one person to really understand him in the play.
A Female Admirer – A young admirer Picasso assumes is a fan of his, but who turns out to be an admirer of Schmendiman
The Visitor – A polite and talented country-boy time-traveler, who adds another dimension and point of view to Einstein's and Picasso's debate. He is a blue-suede-shoed musician.
The play was pulled from La Grande High School in La Grande, Oregon in March 2009 following a parent-led petition with 137 names opposed to the staging of the play. The petitioners objected to some of the adult themes and content, in response to which Martin wrote that the students knew that the "questionable behavior sometimes evident in the play is not endorsed". In his letter to La Grande Observer, he compared the characterization that the play is about "people drinking in bars and treating women as sex objects" to summarizing Shakespeare's Hamlet as being "about a castle". Martin responded to the banning of the play at La Grande High School with an offer to underwrite a production of the play at an alternative location, stating he did not want the play to acquire "a reputation it does not deserve".
