He received his BA in Landscape Architecture from Kansas State University, Manhattan, Kansas, then did graduate work in photography at Art Center School in Los Angeles, graduating in 1943.
Fayman worked for Convair in San Diego from 1943 to 1945, then was self-employed. His work was widely exhibited during the 1960s. His film Color in Motion II, The Red Spot was shown at Cannes International Film Festival, France, in 1954 and was chosen one of the ten best films of 1955 in the PSA International Cinema Competition.
Fayman began experimenting with color materials when they became available after World War II, translating his interest in stage lighting to the photographic medium. He used the Flexichrome process extensively in his work (until it was withdrawn from the market by Kodak), producing photograms and other abstract images.
A Fellow of the Photographic Society of America (1963), he served three terms as president of the La Jolla Museum of Contemporary Art in California.