"A four-dimensional complex surface with many holes, deep symmetry, and beautifully balanced curvature." K3 surfaces are smooth surfaces in complex 2D and real 4D, with a representative example being a quartic surface in projective space. 1. A type of Calabi-Yau K3 surfaces can be viewed as two-dimensional versions of Calabi-Yau manifolds; that is, highly balanced spaces where the curvatures cancel each other out as a whole. 2. The structure of the holes is rich. Unlike a sim

The Japanese architectural world possesses a unique culture where tradition and innovation merge. In particular, in the field of modern architecture, architects who incorporate mathematical concepts into spatial design, creating buildings with a sense of weightlessness that transcends gravity, are attracting attention. They translate abstract theories such as chaos theory, topology, and higher-dimensional geometry into visual and spatial forms, opening up new possibilities fo

The world of architecture is constantly evolving. In particular, new perspectives on architectural design that transcend gravity are creating innovative designs that go beyond the conventional framework of architecture by translating mathematical theories and abstract concepts into spatial ideas and visual forms. This article explores the forefront of architectural design using mathematical approaches such as chaos theory, topology, and higher-dimensional geometry, and explai

A mathematical and logical theory that considers "types of things" as "shapes of space." type = space Element = Point in space Equality = the path connecting two points Equality between equals = Transformation of roads This approach involves continuously deforming shapes without cutting or pasting them, and considering them to be the same. A cup is roughly equivalent to a donut; if deformed continuously, it will have the same structure. “変形し続ける空間”として読む理論 A new mathematical fo

A mathematical and scientific way of thinking that interprets the overall structure and flow from the relationship between "points" and "lines". Point = person, station, building, room, information, urban hub Line = connection, road, communication, relationship, movement, influence A structure in which people naturally gather, move, meet, and engage in a chain reaction of activities. 複数の広場や屋上テラスが、網目状の動線で接続された文化施設 A giant living room in the city An urban hub where people, acti

Architecture is not merely the construction of space, but a fusion of art and science. Mathematics, in particular, plays a crucial role in architectural design. By translating abstract mathematical concepts into spatial ideas and visual forms, innovative architecture that transcends conventional concepts of gravity and structure can be created. This article explores how mathematical theories such as chaos theory, topology, and higher-dimensional geometry are applied to archit