American synagogues have indeed been influenced by the design of Polish wooden synagogues, incorporating its characteristic elements into modern structures. Here are some notable examples:

1. Sons of Israel Synagogue, Lakewood, New Jersey:

   • Designed by architects Davis, Brody, and Wisniewski, this synagogue evokes the design elements of Polish wooden synagogues using modern materials.
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2. Beth Sholom Synagogue, Elkins Park, Pennsylvania:

   • This synagogue, designed by Frank Lloyd Wright in 1956, is considered one of the examples where the design loosely resonates with the complexity and spirituality found in Polish wooden synagogues.
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3. Park Synagogue, Cleveland, Ohio:

   • Designed by architect Eric Mendelsohn in 1953, this synagogue combines modernist principles with influences from various traditional designs, including Polish wooden synagogues.
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These synagogues are known for blending traditional aesthetic elements with contemporary architectural practices, creating a unique synthesis that honors the historical wooden synagogues of Poland.

For more detailed insights, consider reading through some comprehensive studies or articles, such as:

• Polish Influence on American Synagogue Architecture
• The (Un-)Lost Tradition of Polish Synagogue Architecture

These resources can provide a deeper understanding of how traditional designs were integrated into modern American synagogue architecture.