rhopalic /rə-PAL-ik/. noun or adjective. A sequence in which each word has one more letter or syllable than the one before it. From Latin rhopalicus > from Greek rhopalos (a tapered club).
Some examples of both the syllabic and letter variety:
“This sentence cleverly exemplifies rhopalicism.” (Stephen Fry)
“I do not know where family doctors acquired illegibly perplexing handwriting; nevertheless, extraordinary pharmaceutical intellectuality, counterbalancing indecipherability, transcendentalises intercommunications’ incomprehensibleness.” (Dmitri Borgmann)
“I never totally misinterpret administrative, idiosyncratic, uncategorizable, overintellectualized deinstitutionalization.” (Richard Lederer)
And
a black-
bird follows
you from city
to city, changing…
(Brenda Hillman)
“Goose, gather metrical monstrosities.” (Macmillan’s Magazine)