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Unless you want to create frayed strokes with them.
Are acrylic good for ordinary drawing paper? Will they get cockled or something? If I wanna try painting maybe I can do it on drawing paper. Canvas can be quite costly

In average I use normal paper but if too wet and if it dries fast it will crincle. I like to paint wet on wet so it has to dry slowly. You can also paint with it on woid, cardboard, cloth, srone and glass.