We treat the boundary of the union of blocks in the Jenga game as a surface with a polyhedral structure and consider its genus. We generalize the game and determine the maximum genus among the configurations in the generalized game.
 Hasbro. http://jenga.com.
 M. Masuda. Daisu-teki topology, Asakura Shoten, 2002.
 Takara Tomy. http://www.takaratomy.co.jp/products/jenga.
 Wikipedia. Jenga, https://en.wikipedia.org/wiki/Jenga.
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