A bicycle that includes front and rear single-arm forks enabling the front and rear wheels to be mounted and demounted from the frame of the bicycle without necessitating the removal or repositioning of a transmission element, such as a chain, or the brake, if the bicycle is so equipped, each of the wheels including at least one flexibly and compressively rigid element connecting the central hub and the rim, such elements being asymmetrical with respect to a radial median plane defined by the rim, so that the hubs of the wheels are axially off-centered in relation to the radial median plane of the rim, while the radial median plane of the rims coincides with the general median plane of the frame. The invention is also directed to the wheel of the bicycle.