Theory of Shading.

Light is mystical.
Almost all life on earth is dependent on light.
Light is holy.
Mankind equates light with knowledge and goodness: darkness with death and ignorance.
Light is mysterious.
On at least two occasions, great minds have turned their attention to this mystery.  Isaac Newton was considering the origin of color in white light and discovered natural laws that formed the basis of modern science. Albert Einstein was considering the speed of light and formulated the laws of relativity.

For the beginning artist, however, it is enough to observe light falling on an object. To do this, three things are needed:
1. a light source.
2. an eye.
3. an object.

1. Until a century or so ago, there were only two common light sources on earth: the sun and fire.  The illumination that the sun provides is different from that of fire mainly in that it is very, very far away.  So far away that, for all practical purses, its rays fall parallel to each other on terrestrial objects.   Fire on the other hand is much closer and its rays radiate in all directions.  This has a consequence for the artist studying its effects.

2. When an eye looks at an object it doesn't see the light that has fallen on the object directly,  iT sees only the light that has been reflected off of the object.  The more light that is reflected off, the higher the value of the surface.  If little or no light is reflecting off of a surface, we would say the surface is black.
Our visual abilities are very sophisticated. We are uncanny at discerning the true color of a surface. We are not fooled into thinking a white cat is gray even though we see it in low light.  Nor will we choose unripe apples that are "reddened" by a setting sun.  It is this very ability that beginning artists must learn to defeat, if they are to see the effects of light accurately.  The artist must see how the cat is grayed by the darkness and the redness of the apples.

3. The object is everything. What is its color. Its shape. Is it translucent? Transparent? Glistening?  Dull?
 
 

Consider:
A white surface will reflect 90 % of the light that falls on it. If a quantity equal to 10 "rays" of light fall on the white card, 9 rays quantity  will be reflected.  Some of that will find its way into the viewer's eye.   If the surface is turned 45 degrees, only 5 rays of light will be distributed across the card and only half as much will find its way to the viewer's eye.    Although the viewer will know that both cards are white, the viewer will experience a lower value for the tipped card than the level card.  The important variable is the angle of the surface to the direction of the light source.  The more perpendicular the surface is to the source's direction, the  higher the value will be that the viewer experiences.  A more acute angle results in a lower value perceived.
This is the basis for understanding light and shade.

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