Final answer:
The painting technique in question is pointillism, where small color dots blend in the viewer's eye to form an image. The assertion about the technique is true, but the reason involving the angular separation of dots is not the correct explanation for the visual effects observed.
Step-by-step explanation:
The famous painting mentioned in the student's question likely refers to a work created using pointillism, a technique developed by Georges Seurat. This method involves painting with tiny dots of pure color, which blend in the viewer's eye to form an image. The assertion that the painting was created not by usual brush strokes, but through a myriad of small color dots, is true. However, the reason provided — that the angular separation of adjacent dots changes with the distance from the painting — is not the correct explanation for the visual effect. Instead, pointillism works because of the way different colored dots can affect each other, altering their perception depending on the colors they are juxtaposed with. This interaction of colors can indeed change when the viewer moves, but it is due to the optical mixing of colors at a distance, not the change in angular separation.