# Analysis of Urban Spatial Accessibility of Museums within the Scope of Seoul
## 2 Space Syntax and Research Method
### Range Settings  
Although we can understand the structural relationship of urban topology by using segment maps, this study analyzed the accessibility of museums considering the accessibility, travel angle, and limit distance shown in the topological structure. In other words, the topological accessibility corresponding to the topological structure was calculated using axial maps, and the accessibility of museums considering the travel angle and the limit distance was calculated based on segment maps. The first question is whether the increase in the total number of spaces in the calculation formula of space syntax would affect the results and the research method's validity. The second is the difficulties in interpreting a pure topological structure because the segment map is already a concept that includes angular weighting.  
Assuming that people mainly use public transportation to access tourist spots in a cultural city, [PERSON] (2006) argued that the radius of the core station district is set to 250 m, that of the station district within a walking distance to 600 m, and that of the connecting transportation district to 2200 m by averaging the spatial scope of the station district from three different subway lines [49], and [PERSON] (2010) proposed the radius of the subway station and bus station within a walking distance to be 672 m and 472 m, respectively, by considering the population of the neighboring district within the radius of 1000 m, the distance to the central station, and transfer [50]. Furthermore, [PERSON] set the radius of the walking distance to be 400-500 m and 550-650 m, respectively, by dividing the area into the  
\begin{table}
\begin{tabular}{c c c c} \hline
**Type** & **Interpretation** & **Type** & **Interpretation** \\ \hline MD & Average spatial depth & Ks & The number of spaces in Step S \\ TSDi & Total spatial depth in space i & Dn & Correction factor \\ \hline S & The number of steps taken through space i & d(i, k) & The depth from space i to space k \\ \hline m & The number of steps from space i to the deepest space & n & The total number of nodes \\ \hline K & The total number of spaces & & \\ \hline \end{tabular}
\end{table}
Table 2: Interpretation of space syntax expressions.  
Figure 3: Axial map and segment map.  
non-residential and residential centers [51]. As shown in previous literature, each scholar had somewhat different opinions about the spatial scope of a station district by research topics, but, generally, the scope of the distance that can be reached by walking was between 250 m and 2200 m. In addition, according to a survey conducted by the Ministry of Land, Transport and Maritime Affairs in 2012 [52], the cumulative frequency of taxi rides for distances of less than 2, 2-3, 3-4, 4-5, and more than 5 km were 34.9, 50.0, 60.1, 67.3, and 100.0%, In other words, if the moving distance is over 2 km, people are more likely to take a taxi, and, thus, it was determined to be reasonable to set the walking distance to be less than 2 km. Such a result is similar to the scope of the radius of a walking distance shown in previous literature, and, thus, this study set the maximum distance to 2000 m. [PERSON] (2010) [53] suggested that the maximum cognitive distance for humans and landscapes was 250 m. Therefore, this study set the range in intervals up to 2000 m based on a 250 m radius to observe changes in accessibility according to the limit distance settings and analyzed the accessibility of museums by limiting the scope to a walking distance.