Maximum genus of the Jenga like configurations

TL;DR

This paper models Jenga block configurations as polyhedral surfaces and determines the maximum possible genus in a generalized version of the game, expanding understanding of topological complexity in such structures.

Contribution

It introduces a topological framework for analyzing Jenga-like structures and calculates the maximum genus achievable in a generalized setting.

Findings

Maximum genus of generalized Jenga configurations determined

Polyhedral surface model applied to Jenga structures

Topological complexity quantified for game variants

Abstract

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 of the generalized game.