In the US, the term Zigzag Moderne is sometimes applied to the beginning of Art Deco style. I often use the term 'Art Deco' to refer to the styles of the 1920s (particularly 1925-1929 in the United States) and 'Streamline Moderne' to refer to the styles of the 30s. However, Art Deco is sort of a generic term and is used to refer to designs from the 20s and 30s styles as well as some of the 1940s.
Zigzag Moderne is a term created by David Gebhard to describe the Art Deco architecture of Minnesota built from 1920 through roughly 1930. Fortunately, his description of the characteristics of this style contains enough information to make it useful to describe decor as well. So let's take a look at his characteristics for Zigzag Moderne, modified slightly so it applies to interior design.
(Reference: David Gebhard, A Guide to the Architecture of Minnesota, 1977, p. 419)
Note that while the features of Streamline Moderne embrace Modernism even more than Zigzag Moderne, they are still more ornamental and make use of 'unnecessary' design elements not found in the stricter 'form follows function' mantra of the Modernists.
Of course, these are just guidelines. The furniture of the 1920s runs the gamut of design and you will almost certainly find examples which disagree with some of the points mentioned. In addition, different countries had different ideas about what represented the Modernist style during the 1920s. (Some French furniture from this period has delicate, tapered legs reminiscent of Midcentury Modern designs rather than the stolid legs suggested above.)
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