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There is an important difference between planar and cylindrical mapping. Planar mapping is a type of 3D mapping technique that uses two orthogonal axes to map the scene from its center point. This type of mapping is common in 2D games and animation software. Cylindrical mapping, on the other hand, relies on a third axis - depth - to map the scene from the center point in 3D space. It uses the vertical axis for height and horizontal for width.
When considering the planar vs. cylindrical mapping, you should consider what your end goal is. If you are trying to optimize for speed and performance, then you should choose planar because it uses less memory and less computational power when performing calculations. If your goal is to have a smoother animation that looks more natural, then cylindrical mapping would be more suitable because it better simulates how light behaves in the environment.
In planar mapping, artists can work with underlying geometry instead of having to deal with complex views. This makes it easier for artists to create and manipulate objects within the scene. Artists can also easily transform their models between different planes. Cylindrical mapping also has its own set of pros and cons as well, such as having to deal with perspective distortion once you go outside the sphere you're working on, making your models and scenes harder to manipulate when they are out of 3D space, and more difficult
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