The oath of the mega-nerds using the phrase, 'Vorpal blade' is from Lewis Carroll's 1871 nonsense poem "Jabberwocky".
When King Poppenlocken chants the magic words, he is quoting the 1961 song, "Who Put the Bomp (in the Bomp, Bomp, Bomp)" by Barry Mann and The Halos.
The Secret Snake Club incantation (I could hide 'neath the wings / Of the bluebird as she sings / The six o'clock alarm would never ring / But it rings and I rise / Wipe the sleep out of my eyes / My shaving razor's cold and it stings) is quoting the song, "Daydream Believer," popularized by The Monkees.
Irwin screams, "I regret nothing!" before the girls beat up the boys; a quote attributed to former Nazi officer Adolf Eichmann in a 1960 interview with LIFE magazine while awaiting his trial in Israel.
Irwin's grandfather, King Poppenlocken, is a reference to the Hip Hop break dance styles, 'popping' and 'locking.'