These visual effects which seem to be surprising, and somewhat profound, and difficult to understand, can ALL be resolved by painting with the old adage, "Paint what you see!" When one paints precisely the colors at which you are looking, those color mixes that seem so unusual, and unbelievable all come "out in the wash", if one merely paints that which one sees.
The reason, of course, is that all the visual aberrations, optical illusions, and value surprises are automatically dealt with quickly, and accurately when one simply applies the "Paint what you see", principle, in terms of mixing colors, and applying them.
In the case of the strawberries, this is profoundly simple, and no† confusing, whatsoever. In the case of the checkered cylinder, it appears as though it is an illustrator, simply "making up" an image from imagination, and to get those squares to appear to be believable, and plausible may be a bit more difficult, I'll admit.