Seasons on Infinite Cylinder Planet

An infinitely long cylinder, made of planetary matter with an average radius roughly equivalent to the average distance Earth's equator has to its center, orbits around a parallel, infinitely long cylinder made of solar matter with an average radius roughly equivalent to the average radius of Earth's sun, Sol. The 'planet' has an orbit similar to Earth's with regard to distance and shape from the 'sun'. This arrangement is called Cylinder World.

What is a creative way to bestow the 'planet' in Cylinder with seasons? I would especially enjoy a scenario in which different lengths of the planet experience different seasons simultaneously. The 'sun' and 'planet' must remain cylinders and must remain parallel.

EDIT: The 'planet' rotates about its length to produce a day-night cycle similar to Earth's.

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Seasons on Infinite Cylinder Planet

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