{"id":621,"date":"2026-04-01T00:07:30","date_gmt":"2026-03-31T15:07:30","guid":{"rendered":"http:\/\/www.honma-lab-2.iis.u-tokyo.ac.jp\/?post_type=research&p=621"},"modified":"2026-04-13T10:57:10","modified_gmt":"2026-04-13T01:57:10","slug":"014en","status":"publish","type":"research","link":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/en\/research\/014en\/","title":{"rendered":"Architectural Space Analysis through the Enumeration of Convex Spaces"},"content":{"rendered":"

Architectural Space Analysis through the Enumeration of Convex Spaces<\/h2>\n\n\n
\n

\u3000Architectural space is not divided simply by walls and columns. Even within what appears to be a continuous interior, people perceive subspaces with different degrees of openness, calmness, and enclosure. This research examines how such spatial units can be understood through the idea of convex space and develops a quantitative method for reading architectural form. A convex space is a region in which any two points are mutually visible, making it a plausible unit of space as people naturally perceive it.<\/p>\n<\/div>\n\n\n\n

\n

\u3000We comprehensively enumerate convex spaces within a plan and analyze their area, shape, spatial distribution, and relationships to one another. This makes it possible to understand what kinds of subspaces are available for different activities, where more public or more private qualities emerge, and how the overall spatial structure of a building is organized. By imposing specific conditions, we can also search for optimal convex spaces and evaluate the practical potential embedded in a given architectural layout.<\/p>\n<\/div>\n\n\n\n

\n

\u3000In recent years, this line of thinking has been extended through the Convex Space Visualizer, making it applicable not only to interior analysis but also to outdoor spaces shaped by trees and topography, as well as to early-stage design situations in which the final form has not yet been fixed. In design studios, it has been used as a way to reason about where people are likely to gather, where continuous lines of sight and movement can be secured, and how programs should be arranged across different layers. This project therefore connects architectural space not only to analytical reading, but also to design thinking itself.<\/p>\n\n\n\n

For more details: <\/strong>Press release<\/a>
For more details: <\/strong>Convex Space Visualizer<\/a>
For more details: <\/strong>Peer-reviewed journal article<\/a>
For more details: <\/strong>Peer-reviewed journal article<\/a><\/p>\n<\/div>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

This research examines how such spatial units can be understood through the idea of convex space and develops a quantitative method for reading architectural form.<\/p>\n","protected":false},"featured_media":720,"template":"","class_list":["post-621","research","type-research","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/wp-json\/wp\/v2\/research\/621","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/wp-json\/wp\/v2\/research"}],"about":[{"href":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/wp-json\/wp\/v2\/types\/research"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/wp-json\/wp\/v2\/media\/720"}],"wp:attachment":[{"href":"https:\/\/www.honma-lab.iis.u-tokyo.ac.jp\/index.php\/wp-json\/wp\/v2\/media?parent=621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}