Moving to New York City in 1958, she began designing scientific illustrations for Dell Publishing "Visual" series. It was during this early period in New York that Honegger-Lavater became influenced by American street advertising and began to utilize pictograms as graphic representations of linguistic elements in her work. In 1962, the New York City Museum of Modern Art published her "William Tell" as a single sheet lithograph, accordion folded in the "Leporello" style, with a legend listing the meanings of the various symbols (e.g., a single blue dot represents William Tell). The story proceeds chronologically as the book unfolds, and is told entirely by using the symbols without words. She produced a growing number of similar works throughout the rest of her career.