Topology and Geometry Laboratory

Mathematics of shapes: geometry, topology and singularity theory

Topology is the area of mathematics to study the properties of shapes that do not change even when drastically deformed. In topology, triangles, squares and circumferences are regarded as the same. Also a coffer cup and donut are the same. Complicated train networks are shown as route maps at stations, which is indeed an approach taken by topology. We are examining the hidden properties of shapes, which are 欧洲杯足彩app下载_欧洲杯下注平台-【直播*网站】 abstract than curbed lines and surface we see, from the perspectives of topology and various geometry aspects.

School of Architecture Department of Architecture

Faculty Name

KUROKAWA, Yasuhiro

Keyword

Topology,Geometry,Singularity theory,Differential geometry,Architectural geometry

Laboratory location

Centennial Main Building TOYOSU Campus 8F 08G12-b

This lab is for this SDG activity:

STUDY FIELDS

Mathematics
Mathematical sciences

FOR SOCIETY

Topology and singularity theory are relatively new fields. Analysis of how shapes are formed and analyzing how they are joined will relate to various other fields. The analysis of curved lines and surfaces are applied to architectural designs.

RESEARCH THEMES

Research on the topology of various geometric structures
Research on singularity theory related to mapping
Research on architectural geometry