The appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problems, the selection of tasks and the analysis of performance of subjects whose solution paths can be projected onto the graph. The mathematical model is also at the base of a computerized test tool to administer various types of tower tasks.

中文翻译：

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塔式任务的图论。

塔变换任务的问题空间的适当数学模型是表示圆盘或球的位置及其移动的状态图。诸如距离、偏心率或顶点度数以及图的对称性之类的图理论量支持问题的选择、任务的选择以及可以将解决方案路径投影到图上的主题的表现分析。该数学模型也是管理各种塔式任务的计算机化测试工具的基础。