In this paper, we explore the quaternion equivalent of the Mandelbrot set equipped with memory and apply various visualization techniques to the resulting $4$-dimensional geometry. Three memory functions have been considered, two that apply a weighted sum to only the previous two terms and one that performs a weighted sum of all previous terms of the series. The visualization includes one or two cutting planes for dimensional reduction to either $3$ or $2$ dimensions, respectively, as well as employing an intersection with a half space to trim the $3$D solids in order to reveal the interiors. Using various metrics, we quantify the effect of each memory function on the structure of the quaternion Mandelbrot set.

在本文中，我们探索了配备记忆的曼德尔布罗特集的四元数等效项，并将各种可视化技术应用于所得结果$4$维几何。已经考虑了三种记忆功能，两种仅对前两项应用加权和，另一种对级数的所有先前项执行加权和。可视化包括一个或两个切割平面，用于将尺寸减少到$3$或者$2$尺寸，以及使用与半空间的交集来修剪$3$D 实体以揭示内部结构。使用各种指标，我们量化每个记忆函数对四元数曼德尔布罗特集结构的影响。