Some of the ugliest looking district ducklings are beautiful swans in the eyes of the courts. For example, the Illinois 4th Congressional District drawn in the 2000's decade is often called the "earmuff" district for obvious reasons. The western portion of this district actually travels along the northbound lane of Interstate 294! But, this district has a very important purpose. It was initially created in the 1990s to elect the first Latino representative to Congress from the Midwest.
The 4th congressional district has its funny shape because there is an African-American community sandwiched between two Latino communities. The African-American community is represented by the 7th Congressional district, which is designed to elect an African-American candidate of choice. The 4th district was wrapped around the 7th district so that both African-American and Latino communities could have congressional representation.