Correspondingly, Labanotation is thought to be the first to inspire architects to record or simulate people’s motion in space by notations (Wei 2020: 70–74) (Fig. As a result, Digital Diagram and a number of variants can be considered the continuation of this context (Yang 2019). Generative Diagram generates design by implementing logical changes, including topology.
Previous research has highlighted two classic diagrams that enlighten those later ones: Generative Diagram, and Labanotation, which provide topology and encoding as two ideas of spatial experience expression, respectively. By referring to mathematical models adopted, this paper tries to reveal the diagrams’ effort in predicting and simulating spatial experience, their characteristics and commonness, and then puts forward the future expectation. To answer the second question, the diagrams of each category are juxtaposed and cross-referenced in order to analyze their causes and purposes. Diagram selection, author’s own painting). The interaction between users and the spatial interface is underlying in the models when trying to quantify it (Fig. Third, the perception should be reflected within the spatial structure in a spatiotemporal way. Second, the diagram should express human perception from subjective perspective, no matter it is observed by architects, or concluded through interviews and questionnaires, or practically tested and measured by wearable sensors. First, the diagram should contain a process of abstraction, transforming the tangible form into parameters that can be measured and computed. Before going further with each type of diagrams, features that make a diagram capable of describing spatial experience have been paid very little attention by scholars and thus should be discussed at the very beginning, to make a clarification of why diagrams in this paper being selected. There are two types mainly: diagrams based on topology, and diagrams based on encoding. Then diagrams are carefully categorized based on mathematical models. Regarding the first question, systematic literature research has been conducted. (2) The causes and main purposes of the diagrams. This paper is expected to answer two questions: (1) How the diagrams and their mathematical models can describe / simulate spatial experience. By reviewing diagrams and their corresponding mathematical models, this study attempts to rediscover the empirical studies of spatial experience, which may offer architects evidence for their research and design. There are at least two types of mathematical models in architectural diagrams - the static and the dynamic, depending on whether the time variable is taken into account, among which topology and encoding are two of the most important. This study focuses on diagrams defined above, to review those typical ones by their mathematical models which play vital roles when describing spatial experience quantitatively. Diagrams that reflect the interaction between users and space is one of those tools. Tools and techniques were invented in the progress to support designers to catch what users might really perceive. Bringing better spatial experience has been what architects aim to achieve for the past century, while predicting and simulating one’s spatial experience accurately is almost an impossible task for those who don’t have enough experience.
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