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Complementary colors are two hues which sit directly opposite each other on the color wheel.
If you were to draw a straight line from one color to another color on the opposite side of the wheel, you'd get that color's complement.
Yellow and purple are complementary colors.
This light orange and blue are complementary colors.
Below is a painting by Johannes Vermeer entitled The Milkmaid." You can see the use of complementary colors in this work.
Split complementary colors are a combination of three colors, consisting of a main hue and the two hues that sit on either side of its complement on the color wheel.
Basically, if you draw a line that forks two ways, you get split complementary colors.
Below is a painting by Matisse called "The Dance." The three colors used are quite obvious since they are the only colors used in the painting.
Analogous colors on one side of the color wheel are considered warm colors and on the opposite side are considered cool colors.
Take a look at the analogous colors used in this beautiful painting by Georgia O'Keeffe called "Blue and Green Music."
This painting is an example of how colors placed next to each other often interact in surprising ways.
Josef Albers was an American artist, teacher, and author of Interaction of Color. Albers was actually a student at the quite prestigious Bauhaus in 1920, and studied under Johannes Itten, who developed the commonly used color wheel.
Josef Albers was a very accomplished artist and is best remembered as an abstract painter and theorist. He was really fascinated by the effects of color and their interaction; he created a lot of pieces that seemed rather simple, but played with the notion that colors interact with one another in interesting ways.
One example of these interactions is simultaneous contrast, or the effect that two neighboring colors have on one another. This effect is contained in one of Albers' laws of interaction.
Below is a pretty basic example of simultaneous contrast. You can see in the top image, there's a darker square on the left, with a gray square enclosed. On the right, there's a lighter square and another gray square enclosed within it.
Source: SOURCE: THIS WORK IS ADAPTED FROM SOPHIA AUTHOR MARIO E. HERNANDEZ