Physically based rendering is a way to make pictures look more like real life. It does this by using math to make the way light behaves in the picture more like the way light behaves in the real world. This makes the picture look more realistic. It's like when you draw a picture of a tree and you use green for the leaves because you know that's what color they are in real life. Physically based rendering is like using math to figure out exactly how the light should look on the leaves of the tree so that it looks like a real tree in a photograph.
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