In this research, we introduce what seems to be a new mathematical object resulting from projecting the $n$-dimensional $Z$-curve onto an $n$-dimensional sphere. The first part presents the algorithm that enables this transition, and the second part focuses on studying the properties of the resulting object.

翻译：在本研究中，我们引入了一种看似全新的数学对象，该对象源于将n维Z-曲线投影至n维球面。第一部分提出了实现该转换的算法，第二部分则重点研究所得对象的性质。