Roulette: A Comfortable Ride on an n-gon Bicycle

Wishing to ride comfortably on a bicycle with -gonal wheels is a true dilemma: a lemma with two solutions. Miki Muster, a Slovenian cartoonist, suggested the first solution in his comic To the Moon (see samples with Slovene captions), which featured three buddies venturing to the Moon and meeting its inhabitants, who drive around noisily and ignorantly on square-wheel bikes. One of the heroes shows them the beauty of a circular wheel.

The second solution was suggested by a mathematician, Stan Wagon (see this on his homepage), who built a square-wheel bike and catenary ground to earn himself an entry in Ripley's Believe It or Not.