博物馆展示流线设计中拓扑学的应用研究

The Application of Topology in Museum Flow Design

该文介绍了博物馆展示流线设计的功能需求,以及拓扑学一笔画问题的相关理论成果,尝试将流线平面化并与拓扑学理论相结合进行研究,把功能需求拓扑化进而转化为数学已知条件,建立数学模型。同时以实际案例辅助说明了拓扑学理论在博物馆流线设计中三个不同方面的具体应用,分别为泡泡图向流线图转化时的应用、判断现有空间能否单流线连通时的应用,以及放大并深化设计连通图中的节点时的应用。最后举出几个在运用拓扑学理论辅助博物馆流线设计的同时应考虑和注意的问题作为补充说明。

The functional requirements that museum flows design should meet the related theory about topology were introduced first in this article. And it attempted to combine the flow plan with topology theory to convert the flow design problem to a mathematical model. The theory could be used in three different aspects which are respective the transformation from bubble diagram to a flow plan, to judge whether an existing space can be connected with a single path and to penetrate a single dot in the topologized flow plan and these were illustrated by some actual cases. A few points that should be taken into consideration as a supplement were listed at the final part.