The shape changes depending on the viewpoint, and perspective, vanishing points, and depth themselves constitute the structure. Perspective / Vanishing Point / Infinite Horizon Architecture Projective Variety Architecture Parallel lines intersect at infinity. 射影多様体建築の原理 Mathematical Architecture space

"A movement that flows over time in the 'most natural way' within space." 「空間の形そのものが、運動の運命を決める現象」 “都市の流れの増幅器” Navier-Stokes equations Navier-Stokes equations [\rho\left(\frac{\partial \mathbf{u}}{\partial t}+\mathbf{u}\cdot\nabla\mathbf{u}\right) -\nabla p+\mu\nabla^2\mathbf{u}+\mathbf{f}] (\rho)：Fluid density (\mathbf{u}): Velocity field (p): pressure (μ): viscosity coefficient (\mathbf{f}): External force This equation is, water flow air vortex turbulence Thermal convection

In the world of architecture, challenging the natural law of gravity has always been a challenge. Gravity-transcending structural design goes beyond mere technical challenges, representing an innovative approach that translates mathematical theories and abstract concepts into spatial ideas and visual forms. This article explores the world of gravity-defying, floating architectural designs, utilizing elements of mathematical architecture such as chaos theory, topology, and hig

The world of architecture is constantly evolving. In recent years, "mathematical architecture," which incorporates mathematical concepts, has been attracting particular attention. By translating abstract theories such as chaos theory, topology, and higher-dimensional geometry into spatial ideas and visual forms, architectural designs with a sense of weightlessness that transcends conventional concepts of gravity and structure are being realized. This article will explain in d

Architecture is not merely the design of space; by applying mathematical principles and theories, it creates unprecedented and innovative forms and structures. In particular, translating abstract mathematical concepts such as chaos theory, topology, and higher-dimensional geometry into spatial ideas and visual forms has made it possible to create architectural designs that defy gravity and possess a sense of weightlessness. This article explores in detail the influence of mat

"A method for dividing the region closest to a certain point." "Space is distributed autonomously." plant leaf vein cell bark geology Cracked dry land living thing Giraffe feather pattern structure universe galaxy distribution Instead of "designing the form," we "arrange the relationships." “空間が自ら育ったような建築” Voronoi ↔ Delaunay: "Mathematics that generates spatial order solely through the relationships between points" Object Design　→　Field Design Mathematical Architecture space