SpongeBob and Patrick are having fun at Jellyfish Fields. Patrick accidentally falls down a cliff and loses his head. SpongeBob mistakenly picks up a piece of Brain Coral and puts it in a big hole on Patrick's head.
Suddenly, the piece of Brain Coral gains him intelligence. Patrick seems to be interested in nature, work and almost any music when he is intelligent. He loses interest in all the things he and SpongeBob enjoyed, and actually has fun with Squidward and Sandy, until driving them both away with his patronizing attitude (he tells Squidward to find himself a new musical mentor and tells Sandy that she does not have the ability to solve "remedial" equations, causing Sandy to shout "I liked you better when you were a barnacle head!").
Since he is too hard even for them, Patrick wants to have fun with SpongeBob again. He tries many solutions to solve his problem, such as comparing himself with SpongeBob, meditating, doing research on Squidward, reading books about smarts, and even growing hair, but none of these things work.
Eventually he kidnaps SpongeBob and tries doing all the activities he used to do. When this doesn't work, he tries to redo his actions by falling off the cliff again. Patrick lets his body remain without a forehead (again), then SpongeBob puts on Patrick's original forehead, which makes him normal again. Then Patrick starts to burp, and SpongeBob and Patrick make loud, obnoxious noices and start giggling and running off.
I can turn into a skyscraper!
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In Greek, this episode is called Πατρικ ο Εξυπνάκιας which means "Patrick the Smart."
The episode is similar in plot to the novel Flowers for Algernon in which the protagonist gains intelligence quickly, but then wishes it gone because of the way others see him.
Squidward plays a song that Patrick identifies to be titled Cornelius Pufferfish's Opus 67 "Symphony in Blue" - a possible reference to a song of the same name on Kate Bush's album Lionheart. It could also be a reference to George Gershwin's Rhapsody in Blue.
The first thing Patrick says after having his brain connected is, "I find all this laughter highly illogical," a tribute to Spock's famous phrase on the original Star Trek series (which Paramount also produced).